Class 9th Physics & Chemistry AP Board Solution
Improve Your Learning- When we say sound travels in a mediumA. The medium travels B. The particles of the medium…
- Two sources A and B vibrate with the same amplitude. They produce sounds of frequencies 1…
- A sound wave consists ofA. number of compression pulses only B. number of rarefaction…
- Hertz stands for oscillations perA. second B. minute C. hour D. milli second…
- When we increase the loudness of sound of a TV, the property of sound that changes isA.…
- The characteristic of the sound that describes how the brain interprets the frequency of…
- In a stethoscope, sound of heart beats travel through stethoscopes tubeA. By bending along…
- Explain the following terms a) Amplitude b) Wavelength c) Frequency.…
- Deduce the relation between wavelength, frequency and speed of sound.…
- How are multiple reflections of sound helpful to doctors and engineers?…
- Name two quantities that vary periodically at a place in air as a sound wave travels…
- Which has larger frequency - infrasonic sound or ultrasonic sound?…
- The grandparents and parents of two-year old girl are playing with her in a room. A sound…
- Does the sound follow same laws of reflection as light does?
- Why is soft furnishing avoided in concert halls?
- What do you understand by a sound wave?
- Define the wavelength of a sound wave. How is it related to the frequency and the wave…
- Explain how echoes are used by bats to judge the distance of an obstacle in front of them.…
- With the help of a diagram describe how compression and rarefaction pulses are produced in…
- How do echoes in a normal room affect the quality of the sounds that we hear?…
- Explain the working and applications of SONAR.
- Find the period of a source of a sound wave whose frequency is 400Hz.)…
- A sound wave travels at a speed of 340 m/s. If its wavelength is 2cm, what is the…
- Given that sound travels in air at 340 m/s, find the wavelength of the waves in air…
- A man is lying on the floor of a large, empty hemispherical hall, in such a way that his…
- “We know that sound is a form of energy. So, the large amount of energy produced due the…
- How do you appreciate efforts of a musician to produce melodious sound using a musical…
- You might have observed that sometimes your pet dog starts barking though no one is seen…
Project Work
- When we say sound travels in a mediumA. The medium travels B. The particles of the medium…
- Two sources A and B vibrate with the same amplitude. They produce sounds of frequencies 1…
- A sound wave consists ofA. number of compression pulses only B. number of rarefaction…
- Hertz stands for oscillations perA. second B. minute C. hour D. milli second…
- When we increase the loudness of sound of a TV, the property of sound that changes isA.…
- The characteristic of the sound that describes how the brain interprets the frequency of…
- In a stethoscope, sound of heart beats travel through stethoscopes tubeA. By bending along…
- Explain the following terms a) Amplitude b) Wavelength c) Frequency.…
- Deduce the relation between wavelength, frequency and speed of sound.…
- How are multiple reflections of sound helpful to doctors and engineers?…
- Name two quantities that vary periodically at a place in air as a sound wave travels…
- Which has larger frequency - infrasonic sound or ultrasonic sound?…
- The grandparents and parents of two-year old girl are playing with her in a room. A sound…
- Does the sound follow same laws of reflection as light does?
- Why is soft furnishing avoided in concert halls?
- What do you understand by a sound wave?
- Define the wavelength of a sound wave. How is it related to the frequency and the wave…
- Explain how echoes are used by bats to judge the distance of an obstacle in front of them.…
- With the help of a diagram describe how compression and rarefaction pulses are produced in…
- How do echoes in a normal room affect the quality of the sounds that we hear?…
- Explain the working and applications of SONAR.
- Find the period of a source of a sound wave whose frequency is 400Hz.)…
- A sound wave travels at a speed of 340 m/s. If its wavelength is 2cm, what is the…
- Given that sound travels in air at 340 m/s, find the wavelength of the waves in air…
- A man is lying on the floor of a large, empty hemispherical hall, in such a way that his…
- “We know that sound is a form of energy. So, the large amount of energy produced due the…
- How do you appreciate efforts of a musician to produce melodious sound using a musical…
- You might have observed that sometimes your pet dog starts barking though no one is seen…
Improve Your Learning
Question 1.When we say sound travels in a medium
A. The medium travels
B. The particles of the medium travel
C. The source travels
D. The disturbance travels
Answer:When the source of sound vibrates it creates disturbance in the medium near it. And this disturbance disturbs the neighboring molecules (of medium) with the help of previous molecules (of medium). And in this way the particles of medium travels.
Question 2.Two sources A and B vibrate with the same amplitude. They produce sounds of frequencies 1 kHz and 30 kHz respectively. Which of the two waves will have larger power?
Answer:The power of the sound wave is directly proportional to the Frequency.
∴ The sound wave having high frequency will have more energy.
⇒ Sound of Frequency 30 KHz has more energy than sound of 1 kHz.
Question 3.A sound wave consists of
A. number of compression pulses only
B. number of rarefaction pulses only
C. number of compression and rarefaction pulses one after the other
D. vacuum only.
Answer:The sound wave travels through the series of compression and rarefactions that vary periodically. Therefore the sound wave consists of compression and rarefactions.
Question 4.Hertz stands for oscillations per
A. second
B. minute
C. hour
D. milli second
Answer:Hertz is the S.I unit of the frequency and it is defined as the number of oscillations per second.
Question 5.When we increase the loudness of sound of a TV, the property of sound that changes is
A. amplitude
B. frequency
C. wavelength
D. speed
Answer:The amplitude of the wave determines the loudness, more the amplitude of the wave more is the loudness produced. While Frequency determines the pitch of the sound.
Question 6.The characteristic of the sound that describes how the brain interprets the frequency of sound is called ( )
A. Pitch
B. Loudness
C. Quality
D. Sound
Answer:Pitch is the characteristics of sound that distinguish between shrill sound and growling sound. The sensation of pitch of sound is conveyed to our brain by sound waves that fall on our ears.
Question 7.In a stethoscope, sound of heart beats travel through stethoscopes tube
A. By bending along the tube
B. In a straight line
C. Undergoing multiple reflections
D. all of the above
Answer:Sound can get reflected a number of times before reaching us. In multiple reflections of sound waves, they add up and the loudness increases. In a stethoscope, the sound of a patient’s heart beat is guided along the tube to the doctor's ears by multiple reflections. The figure below describes the multiple reflections in stethoscope.
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Question 8.Explain the following terms
a) Amplitude
b) Wavelength
c) Frequency.
Answer:a. Amplitude: It is defined as the maximum displacement of particles in the medium on either side of the mean position. It is denoted by A. Its SI unit is meter. The figure below depicts the amplitude of the wave.
![](data:image/png;base64,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)
b. Wavelength: It is defined as the distance travelled by a wave during the time a particle of the medium completes one vibration. Or the distance between successive crests or troughs of a wave It is denoted by Greek letter ‘λ’ read as Lambda. Its SI unit is meter. The figure below illustrates the wavelength.
![](data:image/jpeg;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAoHBwgHBgoICAgLCgoLDhgQDg0NDh0VFhEYIx8lJCIfIiEmKzcvJik0KSEiMEExNDk7Pj4+JS5ESUM8SDc9Pjv/2wBDAQoLCw4NDhwQEBw7KCIoOzs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozv/wAARCADOAXMDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD2aiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAopuelOoAKKKKACkpGJGMVi/wDCWaX5nl+Y+/uuw5+9t/nTE3Y26KpJq+nyBtl5CdpIY7xxjrUcut2MZAW4jdjIEIQ52k+tFhXNGiqDa1pqqD9ugwzbQd45PpTJ9f023IV7uMsZBHhTnDH1/KiwcxpUVQ07WLPVY2a0mVyhIdc8rzjkfhV8c0igpaKKACiikoAWim5xS55oAWiiigAooooAKKKKACiiigAooooASilpKAFopKWgAooooAKKKKACiiigAooooAKKKKACiiigAoopKADNNeVEVmdgqrySTgCnVznijTr+8EUkDGa0j5mtFO1pB7GhEydkTQeJYLzWY7G0jZ4WVs3HRSR2HrW35i/3h+dcTeXOn6mlnaWdi8rgnECOYnix1zyKj/sK5/6AVz/4Gn/4qqaRiqsn0O78xP7w/OjzE/vD864T+wrn/oB3P/gaf/iqP7Cuf+gHc/8Agaf/AIqlYr2kux3LMpx8w/OudbwjZHVGv/tD7mn87ZkYHH3fpnmsj+wrn/oB3P8A4Gn/AOKo/sK5/wCgHc/+Bp/+Kpic2+hop4MthG6teMWeVZGYYGcZyPxBINSL4Rs0lmdZivmPuyDz1zisr+wrn/oB3P8A4Gn/AOKo/sK5/wCgHc/+Bp/+KoJ5n2NBfBVoIBELjAAIB4745+vFRWvhSUXk7yzqkayK0BGCeGJ5+uaq/wBhXP8A0A7n/wADT/8AFUn9hXP/AEA7n/wNP/xVAcz7HR6RokGk3Es0c24yIFOcDPzE5/WtcOgH3h+dcN/YVz/0A7n/AMDT/wDFUf2Fc/8AQDuf/A0//FUFe0fY7rzE/vD86PMT+8PzrhP7Cuf+gHc/+Bp/+Ko/sK5/6Adz/wCBp/8AiqVh+0fY7vzE/vD86QuvHzD864X+wrn/AKAdz/4Gn/4qj+wrn/oB3P8A4Gn/AOKosHtJdjotZ14aTc2yG3eeOXJcoMlAO+K0rO9t76BZ7aRZI2HBU1x1otvo2pxy31g9mWjbbJLcFxjuAMmrWkWl1c60NSsEew09vvxuP9f7hf4R+VOwo1JN2Z1+aWminVBuFFFFMAooooAKKKKACiiigCN2EaMxPQZrOtddsb2Qxwz5dTgqeD+tXblS0LD19K871bTZbC7M8LOy5zkn5k9wf6UyZNrY9JRg65BpwrmfDOtm8jMU7AzxgZOfvjsa6VTkUhp3Q6ikpaBhRRRQAUUUUAFFFFABRRRQAUUUlAAaRsAcmgniud8Ra8LBfKiw07A4GeFHdj7ULUTdjSvNXtLIfv51Q+nf8qy7TxbaS3LrLMFRjmIlSAR/SuSgtLzVZDOzsQzZ8xx8zfT+6PpVqXQJxCrFpAQu0FjuDcnqO/WqSRnzSb2O0is9PuL5dSjjQ3AUgSIfvA+/etJegrzPTr+80W8WMqdhPzRZ+Vx6r6H2r0DT9Rhv7dJYW3BhnNJlRfQvUUinIzS0FhRRRQAUUUUAFFFFABRRRQAUUUUAFIelLTJH2KTQBRv9Nsb2eC4vIlka3yU3dB+FZ2o+JbS1kSGGcF88hVzgDr0rH8Sa+8sz2VqzBAdrup5Y/wB0Vl2uj3BUS5KlsgqhwBx69z70Gbeuh3thq1pqCb4Jgw7/AP6utaAwRkV5a8V1o90ssblTnCydM/7Lev1rvdE1WPULNZF4boynqD3FFhqT6mtS0g6UtIsKKKKACiiigAooooAaRkYNZupWEc8RbaMitSmMoZSD3oE1c8zkWbRdXVowdikuoHcfxL/UfjXoWn3S3drHKjbgwyDXP+KNNMkLPEuHQblPuP8AOKr+DdS4e0ZsAfMgP909R+BzT3IXus7QUtNU5FOpGgUUUUAFFFFABRRRQAUUUUAFITilpkhAXJoAoavfx2FpJO7gBBk1wNtFPrGpPJNlgWzJ/RPoO/vWj4r1Frq8W0i5EZBI/vP/AAj8OtbPh3Slt7ePnOBnJ6k9zVbGfxOxixLqtjfX1zbwmS3teNjchsgdB+JNSS6/ezJBB5Q3SxNvZUxjhsMD+A4ruNq4PAGevFN8pB0VePbpSuDi+hw0dnLqukM9xG0c0ZwRjlSAMNVfQNTl0zUfIn+VXfa/oG7N9DXfyQqyFQACevHWuI8UaZ5Lm6Regw4Xuvf8R1o3BqyO7hkEiAgg08VzXhbUzd2ixTMGlh4Y/wAj+NdKDxSLTuhaKKKBhRRRQAUUUUAFFFFABSUtIaAEJwK53xRq7Wdr5cTYlk+VPb1P4Vu3MixwszHAArzm8lbW9YKqTsPyj2QHn/vo/wAqCJ9ifQNLa8mFzKCQf9WG649fqa0dZhuLq7+wacdpsUE8hHdv4UNdDpdkLe3X5R06VzbS6hoFze/aGileeKS63Becg4Cn2xVLcippHQuzwQa3pEd2oBWVOV9D3H4VhaBfPpmreRKTtd9jE+v8J/EcfWum8P6dd2dtP9qkR47hvNjVRjYWHIrnfE1kba7WdONx2MR2/un8DR5Dadkzv4n3qG7GpaxfDt/9u02KRjhyuGX0I61sipNRaKKKACiiigAooooAKTGaWigCnfwiWEjGcCvPmdtH13d0QPu4/uscEfntr0phuBFcT4tsVXbcAcIfmP8Asng/zz+FNEyOws5VkhBFWK5zwpffadPRWbLxHYfwrWv9XsdLMP224SHz38uPcfvN6UhrYvUUgYGloGFFFFABRRRQAUUUlAAaz9YvUs7GWRmwEUsavmuL8aagNqWqnIY73Hqo6D8TgUEydkZWh20moam1xKMkHcwP94/4DivQ7aERxqMYrn/C2n+RaIzffb5mJ7k10wpsILS4uBRgUtFIoTArM1ezW4gcbQcjmtSmOu9WB6UAebaZM2ja4InJCZ2H/dP3T+B4r0aCQOgI6Vw3iuwEUizgEAcOw7Ke/wCFb/hjUTeacnmHMsZ2OB6jrTZnHRm+KWm7uaUH2pGgtFFFABRRRQAUUUUAFNNLUc8giQt3oA5zxbqJhtBbxttkmyo9h3P5VneFNP3L57If3mCM9l7fpWbq0z6trRiVt0e7ywfYfeP49PwrudJtvJt1GMcVRmtZXLyoFAHpXI+MBi8b/sHTfzFdh61yHjH/AI/G/wCwdN/MUluKr8J1FmB9ig4/5ZL/ACrG8SWIuLSRcZBBx9a2bP8A48oP+ua/ypt9F5lu2ccUdTRbHHeD7zy7l7d+N3zqPfo36gmu6U5ArzQ50zxHu6JvDfg3B/ln8a9FtnDwqw9KGTEnpaQUtIsKKKKACiiigAooooAQ1ka5ZrPasrLlSCDWxUF1H5sRUelAnqjgvC1wbPVXtnJywx/wJf8A638qj8b79Y1eazjtJLkWFgZEKfwTN0P5UzV0Om6wtwhwNwkH1HUflmu604xTQiZY0DSqCzAct9abJjpoR+G9R/tbw/Y3xBVpIVLj0bHNalUIrqwt7xNOhaOOYqWWFOMDvwKvUi9xaKSigBc0zz4f+eqf99ClNcS3hzVv7XaTfm3+0kbd2MxZ3fzoE20dxmmu6rjcwXJwMnqa42Ox8SmORtzo5mACFsgIfvEfTFB0zX3uGMkkjlZwyFiNuAGAI/MUyeZ9jrrhykZbGcdq87kjk1jxAWCs0Yk4Yjjav+Jx+VXmtdbiijNzcSIEJJ3uOWJXH1HWobS2vr2aaPZKWglUsU+QPzzt9sU7ESd2dtp8SxwJtIYHuKt1g+HNPvLBnSfeImQEKzZAbPat6kaq7QtFJRSGLQaKSgDH16yE9q4OCGGMVynha8e01R7aU7d3y/Vl4/VcGu01C8s4pIrW5mWN58+WG74964bWIZNO1mO5QY5DgD1X/Efypozlude3ifS49WXTDM73JIUhImZVJ9WAwDWyowa4DwHqltY/2hY3m9bye9aVSUJ81W5U56dOK75eTSNL3H0UUUAFFFFABRRSUAB6Vh+JdQ+xabI+fmxhQOpJ6VtMcA+1cF4svWlvkt4zuKYP/AicL+XWmiZPQb4VsfNuJJm5wdin1x1P4nNd7EnlqF7AVjeHrBbW1RFHCgVu0MIKyCuP8Y/8fjf9g6b+YrsDXH+Mf+Pxv+wdN/MUR3Jq/CdRZ/8AHlB/1zX+VTOu5CKhs/8Ajyg/65r/ACqc0dS1scD4ttBHcJMeByhPsf8A64FdN4cvDd6dFIepQbvqOv61U8U2gnspflydpI+o5rP8F3W5JLcno24fjyf1zRuRsztBS0g6UtI0CiiigAooooAKKKKACkIyMGlpKAOM8XWf7rzlTJibcfcdx+VZtrr17b6fDZRN5KlvLku2GRGOxxXZazaia3YHowxiuL8PstvqcllMBJHIDGytyCV6fmKpMynFl68tLbRpbO+ttRSO4YMDPKDIZsjk96P+EkvP+g7b/wDgOf8ACtey8NR2urw3cErfZURh9mfkIT/d9K3fs8X/ADxT8qd0Qqcu5xn/AAkl3/0Hbb/wHP8AhR/wktz/ANB23/8AAY/4V2f2aH/nkn5Uv2aH/nkn5Ucy7Fck+5xf/CS3P/Qdt/8AwHP+FIfElyf+Y5bH/t3P+Fdr9mh/55J+VH2aH/nin/fNLmXYXs5dzi/+Elue+u2//gOf8KT/AISS5P8AzHLc+n+jn/Cu1+zw/wDPFP8AvmoLqKGOIt5SD320XTH7N9zgdQvv7TVY7jxBbhVbcB5RHPbtU1lqcllEsSeIIXCjgtAx/pVVFTU/ETMqKV8wtjHGF4H55P5V39nawRwgeUn5U7kRpt9TlP8AhI7of8x23/8AAc/4Uf8ACS3X/Qdtv/Adv8K7TyIT1iT8qX7NB/zyT/vmlzLsX7OXc4r/AISa5/6D1v8A+A5/wpf+Eluf+g7b/wDgMf8ACu0+zQ/88k/Kj7ND/wA8k/KnzLsLkn3OL/4SW5/6Dtv/AOAx/wAKP+Eku/8AoO2//gOf8K7T7ND/AM8k/Kk+zRf88k/KlzIOSfc4uBovEGpRx3+oQXgjRisaxlDyOoOO1ZOrCWO4axt5W1CGD5xL1aHH8JPfiuz1nw+2p3Ns8VwbVItwk8sYLAjpntT7jSLW00z7PawrHGByAOvuadyVTlfUyfB12slv5LBS0LYU+inlf0OK65cdq840OY6ZrhgZsBiY+fzU/qR+FeiRMGRT7VLN47WJaKSlpFBRRRQAUlLTSaAKuoTCC1dycADn6V5/piNqmttOw4yZOffhR+VdD4xvgloLdX2mU7SfQd/0qv4Ssj5XnMuGkbcQe3pVGb1kdXaRiOEDvjmp6QDFGeak0A9DXE+J7y3vbuU20ol8vT5lbaOhyOPrXbZrk2W00PWrtZkRLa6RrhG29x99f604mVW/KbmlajaXltHFbzrI8ca7wP4eO9aNYHhax8mykv5I1jlvn80qBjav8I/Kt7NJ7lxvYpalD51s3t1rhtGc6f4g8knAZmj/AKj+Zr0KZN8RXsa871tDZa0Juxw+R6qf8GP5U1sKW56NE26MMO9SVT0+VZbVGU5BGatg0ik7i0UUUDCiiigAooooAKKKKAIbqPzIiO/avO9ZjbTtaS4QbQSH/Edf0r0lq43xfaExG4C5MR3j+opomSOl06dbi2SRTkFauiuV8HXu+w8lmyYG2Z9R2/SupHXNIad0OooooGFFFFACHpWJ4lvfsunSNuw23C/U8Ctong1wvjK8Zp47dfmI+dv5Afr+lNEydkM8JWnmSPOR1O1c+3/181a1fxndaVrFzZRWUUkVq0CtmTDP5hxwPatTw5Zm2so19F//AFmud8R+FdW1LXtRlt9OgkivUhEV00wVoCnUhe9DCPwnfxnI3YIz2qSooAyRIjncyqAT68VLSKCiiigAooooASop03xMvt0qWkNAHnPiO3a01NJ1HLdD/tLyP0zXbaPdLdWaSKcgqCDWL4tszJaPIASyHcMe1ReDL3MEkDH7jcf7p5H9R+FMzWkjsBS0gNLSNAooooAKilO1Se9SGsvW74WNhJKT91SaBPRXOL1yc6nrf2dBlFPlj+bfpxXbaRbCK3XjGBiuM8N2rXWovcSclT+p5b+lehQII02imyIdx3pVLUtUttKWJrpiqzSCNSBnk9KutjvWRrehJrTReZM8YiU7Qv8AeOMH9KRb2LJ1fT1nMJvIhIDgru5zWPr8uh6rBCk0wl8ufIMfOCoJIP1ANOPhOM5dpi0pOd2PcH+lVbXwe7Wq/ap8THcCF6AEMB9fvVWhm22jattc0ycMI7hF8o7SrcbcDJ/SlOu6at1JbtcoGiTfIc/Ko7ZrIn8GLLGVW8KAuzcLz8y7TRJ4LjZZFN2xDNlBjpznn1FGg1zI6eKRJ4VkRg6MMqw6EVxvi+2wizY+64z9Dx/X9K6zT7T7DZRWwIIjXHFZniSy+0WMi/3lIpIqWxF4Tu/P02JSclAUP4cV0VcJ4Nu9s0sJ4DYkA/Q/yrugc0MI7C0tJS0igooooAKKKKACiiigBDWbq1us9uwI6itKop0DxlSOtAHnvh6ZtP1prZuFclPxH3f0xXokT71BrzrxBbtZ6os0XG7BH+8OR+ddxo94t5ZRzKQQ6gimZx0djQpaSlpGgUlLSUAQ3L7I27cV5zuOq+Ij1KCT9F6frmuw8TX32PTpWVvnIwv1PFc94Tsi8zz+p2D6Dr+uaZnLV2OzsYRHbqverO0UiLtUD2p1ItbABiloooGFFFFABRRRQAlGKWkoAoapb+fbNwK4bRZDp2viDopYxnPp1X/2avRJU3xkGvPvEdq1pfpcR8F+PoRyP5EfjTRE0egxPvUH2qWsvQ7sXdhFKDkOufpWnSLQtFFJmgBDkZ9K4rxnfglLYH/bYeoHQficV191LshY5xxXnLMdZ8QFvvR78g/7K9PzP8qaIk+h0/hWw+z2ib+WIyT7mumFVNPtxDAv0q2KGUlZC0hGaWikMbtoC4p1FADdtG0fjTqKAExVTUIvMt2X2zVyo5U3ow9qAPOrNvsHiLyyNo8wr+Dcj+R/OvRIHDxBh3rz3xLC1tqSTr3H6r8w/QGu20m5W5so5F/iUGmRHRmhS0gpaRYUUUUAFFFFABRRRQAlBANLSHtQByvirTzcWrMqncvzKR6iqvg7UBh7TJwvzIP9k/4HI/Cuo1CHzoGXHavPt50XXA4GIw25u3ynr+R5/Gnczlo7npYOVBp9c/Prdzb3dvAlukkcqF/M3dAOtL/wlum8Es4BXcSV6en54NFiuZG/TGbAJ9KxZfFWnQybCzsc84HT3qK18SQX1rOSDE8OSwPQqDjIosHMjB8WXjT3iW8ZyY/mI9WPCj+ddF4dsRbWcYA+6B+Nclp6Pq2tec443eYfx+6Pywfxr0K0iEMAUdutBMN7lgdKWkFLSNAooooAKKKKACiiigAooooAQ88Vy/iqwaW0doxl1+ZfqK6iqWoQ+bA49qaE1c5nwdfDa9tnhTuQf7J/+vmuyB6GvNbZjpGuqAdqbsc/3W/wOPzr0S3k8yJW9hSFHYsU00pqKV/LTJ5oK6mD4s1D7Np7xIw8yU+WvtnqfyzWP4RsAd0+MK5+X1Cjp/U/jVPxBcnU9XFvG2VDbF+p+8fwHH412Gh2a29soVcALgcdqrYzXvSuasa7UC0+kAxS1JoFFFFABRRRQAUUUUAFIeuKWkNAHJeLbTNq0gXJiIf8B1FO8H3m61NvuyYjt+o6itnV7fz7ZxjPFcX4dmOn60bfJwcxnPqPu/pmmZvRnoop1MiYMoIp9I0CiiigAooooAKKKKACiiigBrDK1xfirTdy+eiZeP5gPUdxXamqWoWouISNucigTV0ct4ZuLe+jWC4y0luhVGJ6xt/nH4VvXOgaa+Lh4mPlRbcBuCADjI/GuIuo59G1ISQ5VQxMfp7r+PauzsdZg1DTZHV8MEIZCeVOOlUZ6dSnceErS5iga3mlhXdvkBO5nHpmsnxH9lsiLW1UhmQ+bhs/JnOPxPSuhvtahsNOV2b5yoCIOrH0Fcfp9tNq2pmWYbwH3Oc8Fuyj2FCBpdDoPCum+VAJHXEknzt9T2/CusQYFVbCDyIQCMNjmrYqTVKwtFJQWA6kCgBaKbuB6EH6GgHNADqKbuBJGRkUZ5xmgB1JTdwHcUtAC0tJmigANNkXcpAp1HagDhfFliInFwV4Hyvgfwn/AA6/hWx4X1E3NkqSHMsZ2Nz6Ve1izFxbsCoYEYxXEaddy6HquyRv3Y+WTP8Ac/hb8OhqkZvRnpR6Vi+IdUFjYuynMh+VB6selWhqcJtfM3jbjO7PFcNqt9JrWprHbk7M4iPt/E/9BSsEpaWRP4asGuLtrlvnwSoPqf4j+f8AKu/hjCRBRxxWToWnraW6BV2hQMD2raHSkWlyqwDiloooGFFFFABRRRQAUUUUAFJS0UAQzoGjYe1ee69bvZaos8IxuII/3hyPzGRXozDK4rnPEumfabVyvBHKkdm7GmiZI09GvUu7OKRDkOua0c1wHhbV/ssptpvkVnO3PZu6/wBRXeRyK6gihhF6ElFJRSKFooooAKKKKACiiigApG6UtFAGBrWjpdxkMgYEVxtxpl7ZyMYQ7gjG5H2OR7+tenlQQeKpzafHJ1UGmiWkzzuDS769mzNvQDgs8m5segPYV2Hh+xtRaq1s6uiErlegI61jxZ17U5rKZzYwwnBtukkw9fpSQ382hyz2NpqOmxQrMxWN/vLk9DzTszH2ii7M7gcAU6uKHifUP+grpP5f/Xo/4SfUP+grpP5f/Xo5WX7WB2lZPiW2ubnRpFss/aUZXjwcZIOawf8AhJ9Q/wCgrpX5f/Xo/wCEn1D/AKCuk/l/9ejlYnVgytBp2v2VlcBfN85XEcToedp5JP48VcmHiYx3CiRwFRWRlPJJ+8B9KZ/wk2of9BXSf8/jSf8ACTah/wBBXSf8/jQRzR7iNb+IYwJY5ZA0jr5kir8zAAdqLyTX7S2luZp5hEeXweV5420v/CTah/0FdJ/z+NDeJL5hhtU0gj0I/wDr0w5o9yGCz1e92zNLdDzljcPu6Yz+vSuy077R/Z8H2rPnbPnz61yY8TX4GBqukgfT/wCvS/8ACT6gP+YrpP8An8aVilOK6naUtcV/wk+of9BXSfy/+vR/wk+of9BXSvy/+vRysr2sDtaK4r/hJ9Q/6Culfl/9ej/hJ9Q/6Culfl/9ejlYe2gdlIoZCp6Ec1xutadBfs7WkitLCxUleqn0NIfE+oY/5Culfl/9em2+mI1jLq0WoQxXTSO7zof3Tc/dYUWsS6sXojC+yak2LYxP5efuGX5P++fSuj0DQvKYvIdzt95v6fhV7w9L/bFmZ57RoWVtu4jAf3HtW/FCsfQAUmaRitxYo/LXFSCiikWLRRRQAUUUUAFFFFABRRRQAUUUUAIaguYRLGVNT0UAef61oMonaW3UZc/Mp4DfT0NdJ4ZFyunRpdb94z999x/OtWS3SX7yinRQLGcrQK2pLRRRQMWiiigAooooAKKKKACiiigAppFOooAy9U0O11RVZwYrhDmOePhlNV9G0NbO1kjv0huZmlZ2laMZbJ4rbxQadyeVXuVRptif+XK3/wC/Qo/syw/58oP+/Qq0KWi4+Vdip/Zlh/z5Qf8AfoUf2ZYf8+UH/fsVboouHKuxU/syw/587f8A79ij+zLD/nzt/wDv2Kt0Ug5UVP7MsP8Anzt/+/Yo/syw/wCfO3/79irdFO4cqKn9mWH/AD52/wD37FH9l2H/AD5wf9+xVuii4uVFT+zLD/nyg/79ij+zLD/nyg/79CrdFFw5V2Kn9mWH/PlB/wB+hR/Zlh/z5Qf9+hVuii4+VdiodMsR/wAucA/7ZisOz8KKbyaS9l8y3EzSQWqjCJn1HeumNIDnmi4uSIiRrGoVVCgDAAHSnEGlopFCYopaKACiiigAooooAKKKKACiiigAooooASilooATFGKWigAooooA/9k=)
c. Frequency: The number of oscillations of the particle of the medium at a place per unit of time is called frequency of the sound wave. It is denoted by Greek letter ‘ν’ read as nu. Its S.I unit is Hertz (Hz).
Question 9.Deduce the relation between wavelength, frequency and speed of sound.
Answer:Let ‘λ’ be the wavelength and ‘T’ be the time period. ‘v’ be the speed of sound wave.
⇒ Wave travels distance ‘λ’ in time ‘T’. (Because wavelength is the distance travelled by particle during particular time).
WE know that;
![](data:image/png;base64,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)
⇒
(Distance travelled in time ‘T’ = wavelength (λ).)
⇒ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADIAAAAYCAMAAACP1l7TAAAAAXNSR0IArs4c6QAAAGZQTFRFAAAAAAAAAAA6AABmADo6ADqQAGaQAGa2OgAAOgA6OgBmOjo6OpDbZgAAZgA6ZjqQZpCQZpDbZrbbZrb/kDoAkDo6kNvbkNv/tmYAtmY6tv//25A625CQ2////7Zm/9uQ//+2///bUilGtQAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAxUlEQVQ4T+1SXQ+CMAzsmAgq84upkwrb/v+ftC1gfJCZPeslGwm5a+/aAfwS4l0VbV5gfwIs+zwNQNjfciXgmneJVWrd+1rpLlHIVQCUiYTRajpsdEgqgmHOyHQaAAsyinNnp2bw7wm42rKHkVkC+Lr5ki+Y84X1zATxSP0G+i4DdSf5o62m4pTDvXb1wVgwDaDUJO0gKwrmeEitiojgJYzfXMUh2ePpLcLX1CGY9tHRvZuYyQlHK6NDKevyX072s/kLeAJPJp8MCf/Rs1IAAAAASUVORK5CYII=)
(∵ Frequency (ν) =
)
∴ Speed of sound wave = Frequency × Wavelength
Question 10.How are multiple reflections of sound helpful to doctors and engineers?
Answer:Multiple reflection of sound is used in various appliances and devices. The examples are as follows:
1. Stethoscope: A medical instrument used for listening the sound produced by heart or lungs. The sounds of heartbeat reach the doctor ear by multiple reflections and amplify the sound. The figure below describes multiple reflections in stethoscope.
![](data:image/png;base64,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)
2. Designing of Concert Halls: The ceilings of concert halls, conference hall and cinema halls are designed such that sound undergoes multiple reflections and reaches all corners of the hall. Some halls have a curved ceiling for the same. The figure below depicts the multiple reflections in concert hall.
![](data:image/jpeg;base64,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vR/0Ez/AN+f/r1ND4AtV/119M/+4oX/ABrraKAMGHwZosWN0Dykd3kP9K0YNH0215hsYEPqEGau0UAIqqowoAHoBS0UUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAH/9k=)
3. Megaphone: It is a horn shaped tube in which one end is at speaker end and other end is at listener end. The sound waves suffer multiple reflections repeatedly due to it they reach in particular direction without spreading out. Figure below illustrates the multiple reflections in Megaphone.
![](data:image/jpeg;base64,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4. Hearing Aid: Used by person who find it difficult to hear. Sound waves are received by a wide end and are reflected into a much narrower area leading it to the ear. This increases amplitude of vibration in ear and helps in hearing.
Question 11.Name two quantities that vary periodically at a place in air as a sound wave travels through it.
Answer:The series of compression and rarefaction vary periodically at place in air as sound travel through it. Compression is the region where the density as well as pressure of the air is very high. Rarefaction is the region where the density as well as the pressure is very low. The Figure below shows the compression and rarefaction as the sound travels in a medium.
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)
Question 12.Which has larger frequency – infrasonic sound or ultrasonic sound?
Answer:Ultrasonic sound have higher frequency than infrasonic sound. Because Infrasonic sound are the sound waves with frequency less than 20 Hz (hertz).While Ultrasonic sound are the sound waves having frequency higher than 20 kHz. The figure below depicts more clearly the frequency range of infrasonic and ultrasonic sound waves.
![](data:image/png;base64,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)
Question 13.The grandparents and parents of two-year old girl are playing with her in a room. A sound source produces a 28-kHz sound. Who in the room is most likely to hear the sound?
Answer:No one can hear the sound because the range of human hearing is between 20 Hz to 20,000 Hz. While the sound produced is of frequency 28,000 Hz which is more than the upper limit of human hearing range. It is ultrasonic sound wave.
Question 14.Does the sound follow same laws of reflection as light does?
Answer:Yes, the sound wave follows the same laws of reflection as the light does. The laws of reflection of sound are as follows:
1. The incident sound wave, the reflected sound wave and the normal at the point of incident, all lie in the same plane.
2. The angle of incidence of sound wave and angle of reflection of sound wave to the normal are equal.
The same laws hold in the reflection of light. The Incident ray, reflected ray and normal lie in the same plane and angle of incidence is equal to angle of reflection.
The figure below depicts the reflection of sound and light.
![](data:image/jpeg;base64,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)
Reflection of Sound Waves.
![](data:image/jpeg;base64,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)
Reflection of Light
Question 15.Why is soft furnishing avoided in concert halls?
Answer:Soft furnishing leads to reverberation which causes multiple reflections of sound due to which higher frequency sounds bouncing off walls, floors and ceilings and arriving at your ears just slightly later than the direct sound and this adversely affect the quality of the sound, Hence avoiding soft furnishing in concert halls reduces the reverberation and quality of sound is improved. The figure below depicts the effect of soft furnishing.
![](data:image/jpeg;base64,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)
Question 16.What do you understand by a sound wave?
Answer:A sound wave is the pattern of disturbance caused by the movement of particles traveling through a medium (such as air, water, or any other liquid or solid matter) as it propagates away from the source of the sound. The source is some object that causes a vibration, such as a ringing telephone, or a person's vocal chords. The vibration disturbs the particles in the surrounding medium; those particles disturb those next to them, and so on. The sound waves travel in medium through compression and rarefactions.
Sound waves are Longitudinal Waves which means that particles of the medium moves in the direction of propagation of the wave. The figure below depicts how the sound wave travels.
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)
Question 17.Define the wavelength of a sound wave. How is it related to the frequency and the wave speed?
Answer:Wavelength:
Wavelength is the distance travelled by a wave during the time a particle of the medium completes one vibration. It is also defined as the distance between successive crests or troughs of a wave. It is denoted by Greek letter ‘λ’ read as Lambda. Its SI unit is meter.
Relation with Frequency and Wave speed:
Wave speed (v) = Wavelength (λ) × Frequency (
.
The derivation of the above relation is as follows.
We know that;
![](data:image/png;base64,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)
∵ Wavelength (λ) = distance travelled in time ‘T’.
⇒ ![](data:image/png;base64,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)
Also
∵ Frequency (ν) = ![](data:image/png;base64,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)
⇒ ![](data:image/png;base64,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)
Hence Wave speed (v) = Wavelength (λ) × Frequency (
.
Question 18.Explain how echoes are used by bats to judge the distance of an obstacle in front of them.
Answer:To help them find their prey in the dark, most bat species have developed a remarkable navigation system called echolocation. Bats use echo in this process .A bat emits a ultrasound waves and listens carefully to the echoes that are returned. The ultrasound pulses are not echoed if way is clear. The bat's brain processes the returning information the same way we processed our shouting sound using a stopwatch and calculator. By determining how long it takes a noise to return, the bat's brain figures out how far away an object is. They compare the volume of echoes in their right and left ears, and turn away from the louder echo, since that obstacle would presumably be nearer this method allowed bats to avoid obstacles using just the first millisecond of the echo as a signal.
The figure below depicts the whole process.
![](data:image/png;base64,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)
Question 19.With the help of a diagram describe how compression and rarefaction pulses are produced in air near a source of sound.
Answer:When a vibrating object moves forward, it pushes the molecules of the air in front of it and create region of high pressure and high density called Compression. As the compression produced in the air travels forward, the Vibrating body moves backward. They create a region of low pressure and low density in the Air commonly called rarefaction. The compression and rarefaction causes the particles in air to vibrate about their mean position. The Figure below illustrates the formation of compression and rarefaction by Tuning fork.
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)
Question 20.How do echoes in a normal room affect the quality of the sounds that we hear?
Answer:For a distinct echo to take place, the minimum distance between the source of sound and the reflector must be 17.2 meters at a particular temperature in the air. The persistence of sound is 0.1 seconds. Since the distance between the walls and ceilings of a small room from the source of sound is less than 17.2 meters, the reflected sound is produced 0.1 second before the original sound. Due to this, a prolonged sound is heard in place of an echo which is called reverberation. Due to multiple reflections we hear same sound many times.so this persistence of sound creates a problem in listening words separately. The sound we hear comes many no of times and this is how our brain is confused to recognize the sound.
Question 21.Explain the working and applications of SONAR.
Answer:Working: SONAR is an acronym for Sound Navigation and Ranging. A beam of ultrasonic sound is produced and transmitted by the transducer (it is a device that produces ultrasonic sound) of the SONAR, which travels through sea water. The echo produced by the reflection of this ultrasonic sound is detected and recorded by the detector, which is converted into electrical signals. The distance (d) of the under-water object is calculated from the time (t) taken by the echo to return with speed (v) is given by 2d = v × t. This method of measuring distance is also known as ‘echo-ranging’. The figure below illustrates the working.
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)
Applications
1. Used to measure the depth, direction, and speed of under-water objects such as submarines and ship wrecks.
2. It is also used in military for detecting the presence of enemy ships.
Question 22.Find the period of a source of a sound wave whose frequency is 400Hz.)
Answer:We know that;
![](data:image/png;base64,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)
In our question;
Frequency = 400 Hz.
∴ ![](data:image/png;base64,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)
⇒ Time Period = 0.0025 s.
Question 23.A sound wave travels at a speed of 340 m/s. If its wavelength is 2cm, what is the frequency of the wave? Will it be in the audible range?
Answer:It is given that,
Velocity (v) of sound = 339 m/s.
Wavelength (λ) = 1.5 cm = 0.015 m.
Frequency (ν) =?
We know that, speed = wavelength × frequency
⇒340 m/s = 0.015 m × frequency
⇒ Frequency =
= 22666.66 Hz
⇒ Frequency = 22666.66 Hz.
∵ Audible frequency range is from 20 Hz to 20000 Hz
Hence the freq. is beyond 20000 Hz so it is not audible.
∴ the above sound is not audible.
Question 24.Given that sound travels in air at 340 m/s, find the wavelength of the waves in air produced by a 20kHz sound source. If the same source is put in a water tank, what would be the wavelength of the sound waves in water? Speed of sound in water = 1,480 m/s.
Answer:Case 1:
It is given that,
Velocity (v) of sound = 340 m/s.
Wavelength (λ) =?
Frequency (ν) = 20 kHz = 20000 Hz (∵ 1 kHz = 1000 Hz.)
We know that, speed = wavelength × frequency
⇒340 m/s = wavelength × 20000
⇒ Frequency =
= 0.017 m.
⇒ Wavelength = 0.017 m.
Case 2:
If the sound source is put in a water tank, the frequency of the waves remains unchanged.
∴ According to the question
Velocity (v) of sound = 1480 m/s.
Wavelength (λ) =?
Frequency (ν) = 20 kHz = 20000 Hz (∵ 1 kHz = 1000 Hz.)
We know that, speed = wavelength × frequency
⇒1480m/s = wavelength × 20000
⇒ Frequency =
= 0.074 m.
⇒ Wavelength = 0.074 m.
Question 25.A man is lying on the floor of a large, empty hemispherical hall, in such a way that his head is at the centre of the hall. He shouts “Hello!” and hears the echo of his voice after 0.2 s. What is the radius of the hall? (Speed of sound in air = 340 m/s)
Answer:Since the man receives the echo after 0.2 seconds. And echo is returned after reflection from the walls of hall.
∴ Time taken by sound wave to travel to wall of hall is 0.1 s
⇒ Time (T) = 0.1 s
Speed (v) of sound in air = 340 m/s)
We know that ![](data:image/png;base64,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)
⇒ 340 = ![](data:image/png;base64,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)
⇒ D = ![](data:image/png;base64,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)
Hence the distance travelled by sound wave is 34 m.
∵ the hall is hemispherical therefore the distance of the man from the walls of the hall is same and is equal to the radius of the hall.
Hence radius of hall is 34 m.
Question 26.“We know that sound is a form of energy. So, the large amount of energy produced due the sound pollution in cosmopolitan cities can be used to our day to day needs of energy. It also helps us to protect bio diversity in urban areas”. Do you agree with this statement? Explain.
Answer:As the energy can neither be created nor be destroyed but can be transformed from one form to other. And sound is also one of the forms of energy; Therefore It is possible to produce energy from sound. Sound consists of electromagnetic waves which contain energy; the problem is we do not have the knowledge to convert that energy into something more useful. So the answer is YES, and deeper study on the subject is required to achieve it.
It may be possible if we can concentrate sound at some particular point by refraction, total internal reflection or some other phenomena of sound .The blast of sound can create music, noise and destruction. With a collector or energy-absorbing panel adapted to the sound, you can save this energy.
Also the biodiversity in area can be protected because high levels of sound causes damage to their ears and also cause other disorders. Thus using the energy to produce other forms of energy can reduce the high levels of sound in that area and thereby will protect the bio diversity.
Question 27.How do you appreciate efforts of a musician to produce melodious sound using a musical instrument by simultaneously controlling frequency and amplitude of the sounds produced by it.
Answer:Quality or timbre is that characteristic of musical sound which enables us to distinguish between the sounds of same pitch an loudness produced by different musical instruments or different persons. The difference in the quality of two musical sounds produced by two musical instruments is due to the difference in the shapes of sound waves or waveforms produced by them.
Many of us might have seen the manjira (cymbals), the ghatam, and the noot (mudpots) and the kartal. These instruments are commonly used in many parts of our country. These musical instruments are simply beaten or struck .The figure below depicts these instruments.
![](data:image/jpeg;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAoHBwgHBgoICAgLCgoLDhgQDg0NDh0VFhEYIx8lJCIfIiEmKzcvJik0KSEiMEExNDk7Pj4+JS5ESUM8SDc9Pjv/2wBDAQoLCw4NDhwQEBw7KCIoOzs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozv/wAARCAD/ASwDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD2aiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKSjNAC0UmaKAFopM0UALRSUUANdgvJOABkmsKz1zUNV05tT0yygltTv8hZJSrzgHAI4IUEg4zW8wDDB6GsSLw2bbTpNLtrwLpzhlEMkIcxhucK2egycZBoAjPiR4NZNjeWpjX7Ct3+6VpHXLEMpAHbHWrr+I9LS3Fx9pLW+1WMyoxRQ33STjjOao2PhVtPnD298BGunCxVDB6EneTnk5JzVRPAzf2OdMm1VpYvsyQKTAMx7OhXnAz39fUUAasXiK0e/vbZkmT7JIsRby2O92GQBgehGKc3ifSU2h7lkdp/s/lmNtwkxkKRjg45qpL4ZmeS8ePU2jN5JHLKBFwWRQuPvZ2kAZH61CfB7i6M0OoiNWv0vmT7OMb1XbgcjCkfj70AaUXiXS5pViEzq5n+zkPEy7ZeoQ5HBPb1rUzmubfwnM00kn9pgb9TXUMfZ+hUABPvdOOtdGBigB1FFFABRRRQAVzvi6/u7CG1NpO0Jd2DFcc8V0Vct44/1Fn/vt/KgDBHiDV/8AoISfkP8ACl/t/WP+f+X8h/hWcO+O1HPWmTc0D4h1cf8AL/J+Q/woHiDV/wDn/k/If4VnkU3+Yphc0T4h1f8A6CEv5D/Cl/4SDV8f8hCX8h/hWbu/OkYnHHekBpf8JFq+f+P+X8h/hS/8JDq4/wCYhL+Q/wAKzQKXqaBmj/wkOr4/4/5PyH+FO/4SDV/+f6T8h/hWb3xzRnnGaQaml/wkGrdPt8v5D/Cl/t/Vv+f+T8h/hWaOtKKANL+39W/5/pPyH+FL/b2rd76T8h/hWbwKM8+ooA0/7e1U/wDL9J+Q/wAKX+3dV/5/pPyH+FZozTs+1AzQ/t3VM/8AH9J+Q/wqne+JdXVhFHfSg9SRj/CoJpVhiaQ84HT1rAmbVJSzW1m7E92wK569TlVkzvwdFTlzS2Roaj4s18acJbfVp1eN/nwF6flTo/FuuusWNVmJYc8Lz+lYMEWowlheafMEfhyF3DH4VPaxqkqoAdi/dz1xXnynPa57EaVJ/ZX3G1L4r16ORT/acxXuML/hVk+JNcNuWGpTZPfC8fpWHdbdue1aNs8VzB8hyMVKqTtuDpUt+VfcVH8X+IlbH9rz/kv+FSR+LvEDA51eb8Av+FZuqWTRsXXPvWbDcGF+cZ961U5NaMr2VL+VfcdjY+NdZiikSS4kuXb7jMQNp/KsdvGniaO8ljbVptq44wvGR9KzzcEEMP0rMJaXUrpgchgp571cZze7IdCkndRR2lt4w1yT5W1OUnscL/hVuPxLrhPzalN+S/4VxFtceW4+bkVv28wkAPes5Tn3LdGl/KvuNz/hJNa/6CM35D/CoG8T66LtE/tKbaeowv8AhVVQeDioDGzXq89jSjOV9yVRp3+FfcbP/CS6z5bH+0Jcjvx/hXpNo7PZwu5yzRqSfXivJIrd/JL7SwHBPpXrNlxY24/6ZL/IV14aTle7PKx8YxtyqxZooorsPNCiiigArl/G4zb2f++38q6iuZ8af6i0/wB9v5UAcfj2pCPb9KkxSY9zTJGbT1xSFW64p5/Ol+lAEWD/AHaXaTzinlaQCgBu2l2mn0hUsrsB8qLk/wCFROXKrlwjzOw+2iaWTIGQvepriWGEBTt3EcjHNU7XV4CnlKCgbqRVO4sb6/1JIob6KOFh/rm5K+2PWuKU3J3PRhSUFZl+DbcIJI2yCM809onQZPSnWumJoVkltJdNcDJzIRjqc1DNqkKuwG1ip61SqSgiXRjPZDsN7UoBqpdaiiw+Zuw/bHeiG/ZyFZRuIyMd60jiIdTKWFmti6ARSgZ7VV+2SiRVNpIwPdegrStltpDsmdo3PKmtPawfUx9lO9mjE1iaXzIraBipc8sO3tUCabOSD58oPruroG0kR3BkZvOOcqQOBStAQwBA47V5tdtyuz1aLjCPKjEEWpW/MV4zezCp11GRF26npaTL/wA9IxhhW3brGHHnRkqPQdKsXMNoF3QNkY6EUoRbVzSVVXtY5e4hsrxf9Dm2k/8ALOTg1nWYuLG58maMqCeD2reuLCKeQr5YUnoV7VRl+16eCk8QngHr/T0qbG8KmliaaJbiPacH3rndQ0woSUXvW/BdW065t2YqOsbfeX/GieOOSMkHNSm4s0jI5NUkVeRx0qO3j36gCf4kxWz5Ch2UjAB7U0W4EmQMY7itVLQ1aMmeExvwOQav6dNgjmluPJn3rHKJDHw2Ox9KoRObaYHn8qe61CMk1odZG/yg1GrBrhiP4VptvMstuCvNNjljUyMwIPf3rK5C3LsZxEQCcda9Vsx/oUH/AFzX+VeSrfw4IUcY7163ZHNjAfWNf5Cu3Cvc8jMOhPRRRXceWFFFFABXM+NP9Raf77fyrpq5rxkMwWv++38qAOS70Y4p+KQgVRIzApcUpAoxSAbzRingY9KMUmMbtz3rOvNW+xO8EhBV+ORWnisHxDaOLeSdVEsR+8ncfSsKybjodGGaU9SjMyKTJaSABjzGx6fSql34ibS4ep84HIDCsK5nEJ/cefG4/hYEj9a19L0ObVGW71ZjIqj93ERx9TXLpBXkejzSl7sdzR07Wta11FLxJHbt1kz1+lag0ONn3SXExJ5wpAH8qsQIsSKiqAF4AAwBVyOM8c/jXJKo5PQ6FHlViJdPtiQXiD4HGSauRxRr92ICnKoHFSRjtQmyJbDdh6gEVUvkkCDYMsv3fatcXENsBhQ7+/QVUuL37TxK0YAPGFANbWdtzKL10RjQeJ5oJRBcW8oPZhGSDW7Dd+dtfySMjuKz5tQtYRxJGv4io4rya8YrbHjuQOKfO+pTimbTXKAEeWfyqLHmLwfyqBIZwQryg+wqwNwG08YobuRZdCu8UiHcnODSzt9oh8uSMA+tTbj045NLu7EUldaFX2Zyt3oN3HIZ7AjeOcbutSWdtqzKRPa7M/eyw5rpScAEAU1mOf7vvU8t9zdVpI5/+zbhclo+p7GoZoZ7eGSVbWWTy1ztAyW+ldA5LE8kg0xQ6E/NRYft5s4Dw5J/aOo3kKoIp533JGTjgdevereq6fPYzGOZCrj8qwNTkbR/FbXMXytFcCQEH3zXr1+Ir/S4LsKrjAIOB0IzW1WFmpI5sNipL3X0OG0i62gxnvV2faEdx61pPp9qfm8lc+oFNawtyNu3K+9YNXO9Vosx8goSBjg969usP+Qdbf8AXFP5CvK7a1tX3jyVBQ4INerWYxZwDsI1/lXVg92ebmLUlGxPRRRXeeUFFFFABXN+Mf8AUWv++38q6Sub8Yf6i1/32/lQBy2MmkxjrTvwoxVEjaTFPpDSGJijFL0opDEpskSTRtG6hlYYIp+Paq9xPsyinnuaznJRV2aU4OcrIx5fD+nRXfnLvZgejNkCrqRcfKOaVQXOcfnU27gKOB7V49SSlI9ynFwjYEjC9sn1q3Fj+KqyHBx1qYEY9+9Z3RUkW4ImuH2oQMDk1Wvr+KxRlZlDJ941FcLcLATazmNyMZxmsn/hHjduJNSvJJFJzsXAzW8JRttqYta3b0KFz4lu724+zaZbmeQ8ZA4qZNE1q8A+26glsD1jiXJ/OtyM6fpVsY7aNIVPU96w7/xPZwZRJzIwPRBk1qrsPQ0rXw7pFsVeQSXDjvI/9K02uYLeDZFtjA9BXFxarrurHZptiwX/AJ6SHAFamkaDfJM1xrOoRTZHywx5wp9zT5UQ5amsbmaXDI5Ye1WbeGaXMkrH2GaBLawALGAOwqtLdszYWQkeg4rP1L32NHbGo+Yg8etMMwGQq8+tVYF8uMySdD60j3y49u1MnlJfPckjGOe1O85VxuOaoTXhKbhgAVny6miHlj9SaLlKNzoBcZyew9KpXF3luCevSuVu/FqwErHMufrWVL4ulTLllc9gBVKEpdBXhHdlTxRKsmsSleoPJr03wddNe+BrcSJ0jKbv90kD+leN3F1Le3DTSZLyNyK7vwlrc1hoFxaiEvEHIBDY2nbyT+Irqqq1NI86h71RtHSrOoH3h70/zVx1HHpXGprihPmc5NSf22uw/Oc1yanpqJ0V1eQ2rLOzbVPDk/zr1yxYNYW7A5BiUg/gK+eNR1D7TYSLuxlehr6D0kf8Siy/694//QRXThla7OLG/ZRcooorsPPCiiigArnfFv8AqLb/AH2/lXRVzvi7/U2v++38qAOYIpOhp+OKTbzTJG45pCPwpxFB7UDG4pMCn4x3opDRBcSiGIsOvQVmKzOxJ71PqUm6dYh0HWoAwUYxXmYmd5cvY9bCQtHm7kobC4PNG4Z+9ioS+fagHpiuGUj0FEtRkk8mrUYziqkWScd6v28ecd6IRuZVHYkt7mC3LNcqoGOC3Sue1fWi1w66cnnf3QnQV10emNdJ8yKU7hh1obR7W1xuRYwTj5VAzXeqclGyRx+0gpXZwK6Rq2puGuDgH+AHpWja+ErG2YS30gfHSNRgZ9zW3qt9a6adsBwuPmOcmucutVurwAWULEH+Jqhpp6s6VKU1orGzcX0MEWyKJURR8oXAxWDdazMZGW3UyN6L0H41XOj3d1JuvLp2H93OAPwrd03QkVfMkBSEdM9Wqbq+gcqjucz5fia+u4jDHG8RPzqGxgepNdUtrDZqApBPcA5/Wn3d8scfkwgJ2CIOTVQ6PrlzH5rKtrGe8p+Yj6CtHeWyM/hd2wvL4iPDHag96x5tXghP3stn1rRl0CJlxdTSzEdfmwD+FQrpFpAf3duikd8ZqGrbm0bPYypL+4nXciMAemeBWfeRSz27Zb5h1HrXSzQKyldorKuLfaTxilGaTNVBNHETW6tIR91qqtHJGxBUit/VrIkebEPmXn6iodOmtLgeVeLwejdxXoxqe7c8irh/3ji9CLTdJlv4w8L4ccHJ7101ta29p4FnuDKJLh2I2kEeWc4JH4CnaXZx6bI0sGZ4HGdobkGodb1JW04afBaSQqW3HPbnNcsqjnLlR0Qw/JG5zJuZI8ZXI9qVNRB781FIrc81UcMrcjmuzli0ccqk4vQ057xZIGCk/dNfU2jn/iS2P/XtH/6CK+TFsppgPIBfd2HrX1no4K6LYqwwRbRg/wDfIpxSWxnVlOVnIu0UUVZiFFFFABXP+LP9Tbf77fyroK5/xX/qbb/fb+VAHM9RRinDpSYpkiAcU1hT8U0jmkMTHFB/Sn9qZL8sTn0GaTehUdzCkcSXbsfXilJBFVI5D5j/AFqTfkc141V6tnvUo2ikKzc4qRB0xVfdjvmpo2z1NctmdPQ0LccjNbOnRb5AOhrAhl2kVsaffrE/JA+tdlBLqcddPodRH5artx09qparLEYjG4B3daiGoKUJ3AH61lXl0ZScc+9ehOpFROGFNt6mRPYWqyFvKJOf4mLfzppZIoycAADtUspqB0VhzmvMnK7PUgrI0DFZ2tgt4Z0dyMhe1LZpea98sH7uMcNK3QfQVkiytywZogSK6jw/exW8Rg4UZzW9Jxk7HPVTirrctWfhmz04eauZp8gmSXn8vSjUXBBXHAq3LqMXl7VIX2zWFd3W+RvT613S5YKyOOKnN3kUpwNx5zVGYgcCpbiYFjjiqsj47/WvNqS1PSpx0IX5yelUrtNw45GOats3JGKrykHOelYpnSjEnj9RXLanam1uSycK/I4712k4VzjisPWLZJUEfRs8H0ruo1LM5sVS9pDTdGHbardWjDypWXHoa27XxYrAJfQLIv8AeA5rJOlxxkebdoM/3QTWtpfhiz1KRlW6kAAzuCDGfSt6ipWuzgpRxS0RfW60O+X5Y4wT2PBqle6HDKC9nIM/3c1e/wCFeZP7vUgB7x//AF6Q+B9St+YdTj49Qwrni4RfuyOl88lacDm2ivNOZ2XdGdpHHSvqnSPm0axYnk28ZP8A3yK+cLrR9bt4WWRop1x/e/xr6R0kEaRZgjBFvHkenyiuynLm6nn4iHJa1y5RRRWpyhRRRQAVgeKhmK2/32/lW/WB4q5itv8Afb+VAHN4pO9O2+9GKCRpHFJ3q9baZcXQDKu1fVuK0YvD8Q/10rP7LxQVYwcZqO4H+jyf7tdP/Y1mhzsY/wDAqV9Ks2hcLCASp5NJopaM8rzgt9aZJMRnmrGpW5tbqVD0B4rKlfOR3ryJx1PoaWsSwk5PNSxXBDdeKoRsNtSI+1vaocTosasc+SPmq2lwo7Y/GsUSZ9asLI2Mdaz1RLima4uWI65/pTjOTnms1JyOCM1N5oNHOyPZostJkdcGmhyBjPBquZKQt79alsrlLQYE8frUiTvG33SAeuKpB9venGY4+9xVqdiHAvSXjBMbutV/PaqbzbjjOKjacgHmrdVsFSLTSZOSe9ROwzVCS4Yt1AFRPdSZ61NmzRQsW5Zgp5qhcXHJ9KiknLscmqs0u48fyrSECiVpcnisbW7jaoI69qty3GxR7VjzQXmrXQitIHlI/ujgV10o63ZyYmpaDS3K9nDc6lcpBCpJJ5I7V6PplhDplosQYZA+Yk9TVXw34ZubC0ZliUy4Bck/yraGhzOczFT7E1jXq8zsthYWkqUbyerKcuoLHxGcn2qA314/3Bj3xWuui7PumNfwp/8AZmP+Wg/Kuc6uaJhS/aXjO92Jx9BXuGncaba56+Sn/oIry86bGoIZsnFep2QxZQD0jX+QrtwvU8vMGny2J6KKK7zygooooAKwfFAzFbf77fyrerL1qya9EChgqqxLH8KAOXigknfZGpZv5Vs2ejpGQ9xh37L2FXre2itk2xLgdyepqbGKY7CBQBx2owaQHmnHmgoaTTcA04gYpuKYHA+LLACcyBcHP51xk8RVju4r1bxDYieDzNuSOtefalYmNycZrzcRBqVz1MJV93lZiqCPpUoXPenGPaeeKTGK5mz0kyUDCjHSpoxk1XUjHvUikjpUMZa+nFPDDrnmq6N0JNS5x93nNZtAS7vekLDNRZx160uQeT2qbASBqHkCimZGKqTzAEgdqpK40tSR5ATw2Peq8k2M81BJP+lVZLgED5q3jAtuxZebg4qBp8nrUSCe6k8uBGkJ647fWtqx8Pqu17p9xx9xen41ekSLmOkc07FYY3kJ/u1oWvhi+uOZZFhB7Z3Gunt7OMYSPYi+gxzWvDbCJfunPrRzMzlNI5a38D2OQ11LLP6jOB+ldBbaXbWkYS3gSNR2CitDaOKCBSbbOfmu7lYRAdzinFcDipWGPSomOOvSs2gvcYVBPSonQehqU4PejpikMgdG2HHIr0e0/wCPOH/rmv8AKvPSQB9a9Dtf+PWL/cX+VduE6nBjfsk1FVP7Tsf+fuL/AL6o/tOx/wCfuL/vqvQszy+ePct0VU/tOx/5+4v++qP7Tsf+fqL/AL6osw549y3UFznC/Wo/7Tsf+fuL/vqo5tQsnAxdRdf71FmHPHuKBSdai+22f/PzF/31SfbrT/n5j/76p2ZXtIdyTvS5qub21z/x8R/99Uv261/5+I/++qLMPaQ7k/Smn1qL7da/8/Ef/fVBvbXH/HxH/wB9UWZXtIdxJkWSNkboRXI6tpmWdSMEdK6+Q5AI6Gsu+TzB7jpWVSCkjWE3F3R5zeWLRk5XGKoMmPrXa31qHBPU+lYk9mvIP54rzZ0+VnrUq11qYeCKcHIxVp4FQnvQsKt3xWJ1KRGh3cAZqcKxwecU5FjXjIzUv6UuUXMNCDH3aaVxxnrUjPgcc1E0uB2osNMqXMojUjPNZc9xj3/GlvrnMrfMPwNUYkmvZfLt0LHPJ7LW0IJK7L5rA9yzvsjyzHoo5zWrp2gyz4lvWMa9fLB5P1q/pumW+lxhpHDTP3IGT7CvRNB8NpAqXd6oaRhlYiMhfr71qk5vliY1asaa5p7nL6fod9cKItNsgsY48xxtUf1NdJp3gSJWEupXUlxJ/cU7UH4V1qKAgHAA7UH5jgdK6oYaK3PLqYypPRaIzl8P6dGgWO2jAH+zVW60oRgmLjH8PrW8uRTZYwyHPpWrpQatY5o1ZJ3uce6MrYYYPpTCccVq3VkZfmHDqe/Q1lum1irqVI7GvPqUnFno06qmvMYV3epphTA5IxVq2spb05T5Yx3NaMOixoQZJC/sBxSjQlLVBOvCGnUwsDgbS2fQU+Ozu5mAjt2x6kV1EdrFEAFjUY9qlAxW6wa6sweLfRHOf2FduMsyL6812kC7LeNT1CAfpWfuwK0k5UfSuiFKNPY5atWVTc4aiiqEmtWcV3JbHznaHHnNFAzpFn+8QOK9CU4wV5M+ajCUnaKuX6KZDNFcQrLDIskbjKspyDT6dyWrOxRv9Qlt7q3srO2FzeXAZkRn2KqL95mbsOR2p0F+3nra31ubO5bOxS25JMf3GHB+nBqBZAnje3RusunybM+ocE1r39hBqVo9tcA7W5V1OGRh0ZT2Ir5jH51UweN9nJe5p6+p7mGy+FfD81/eI6KztPu50uZNL1D/AI/IBuWTGBcR9A49/UdjWjX0lKrCrBTg7pnj1KcqcnGW6CiiitCAoPSij1pAtzogP3Kf7o/lUEibhVtRmFB/sj+VRsvrXI1qe/H4UY13Z55Veawrq2ySMYNdhJHkVmXth5i5HB+lZSppm8JuJxV1bMAcLzWdJujPzZ/Gunu4TCSJVIHrWbc20cyHGPYiuGdHsejSr9GZIuBnoDUguKimsnUHaCSvWqUjTRdQRWHKzq5omm0igferE1HUwD5aHPPaqtxqMt0xt7Xlv4nzwtQqsdr85bzJTyXPb6VqoW3BT7EsVq0pD3Unlx9dn8Rq0+o+VGIbOMQpj73Qmsx79clic5/Wug8E6P8A8JPrAUp/otvh539uy/U1fJJhKtCK3On8AeFy+3XtQUu3/Lsj8893P9K9IhBbA64qERoiqiKFVQFVQMAAcAVdhTbHzXdThyI8WrVdSV2KeKclJ1an4CitDIQkIpZuBURmMi8LgGonYzSEZ+UU8EAbaAGPCGXNQNp0VwhEy59COCKucYqN29KGk9x81thiRJCoRBhR0oLqOCKQsQaUgOvvRZJWE22NZivzDlf5UoIYcVCrFGKN+FIQ0Tbl6elFiSZs4rVT7i/SshZBIp55xWun3F+gpMDh1+8PrWX4NYvo88rcySX1wzt3J3kfyArTzis7w5iC51eyAwIr0yKPZ1DfzzXlcRRk8HddGjnydpVmvImvbSSwka/sImZSc3FqnSQf31HZh+v1qxDNFcQpNC4eNxuVh3Bq971iMi6Rq6whttnfszRgniKbqVHs3Jx6g+tefkOaNy+rVX6f5HVmeCVvbQXqVNc/0TWNE1TokVz9nlP+zIMD/wAexXUYrC8QWTahoN5bLnzDEWjI67xyP1Aq54f1P+2NBstQ43TRAvj+8OD+oNZcT4f3oVl6FZPVvTcOxRfTrvxPq0z294LCPR5/LilWLe8shUFgcn7nIGO/4VYW4uLW+/s/U40huWBMLocx3C+q55yO6nke9TeEpdmp+IrJusd8JVH+y6A/zBrV1/T7XUNJmS6lWDyh5sdweDA46OD2x/KuvBYp4blpr4LL8eo8Vh41029zO61kah4o0vT5Gh81rm4XrDbLvYH37D8TXMS+I9U16BYlb7FboNszwn5rhh1Kt/Cv05rOa9srBDBaR+a4P+rh559Sf8a96ri0vdhqx4HIXUj7TEy5Yv72dE/jmaEGafQ5o7dOXYTqWUeu3/69dVHKs8CSxnKSIGU+oIyK8m1DUruWxkiayC+ePLUCTLZPA7c16tZxtDYW8Un344VRvqFANXh6k5p8xyZvhMNhZxVBvzudjGv7mP8A3B/KkMeRT0x5MZJx8g6/SnYouax+FFdo8jioZbfIq7sJ6A0CM/3aQzGn09JRhlBrntQ8M5y9szxN6rXcmH2FV7rS4ryPyp2fyz95Ubbu+pqJRTKUmmeG+IrzUNHkCxzRTvnaTGAcfXHeqNrp/iTXUH+jXPlN2SM5b9OK9/g0bT7aJYYbOBI16KIxirXlKowBgVn7I1VZniNn8N/EUiKq28dqh/56SAH8QM1r2/wkd8NqGqnHdYE/qf8ACvVGWmMvGapUkinXm1Y4a0+GXhu1IZ7WS5b1mkJ/TpXWabpVlpNp5FnbxwI3zEIuM1YVPMkGfurUrir5UYNtjYk3yD0FXduFqOCPaM9zUxHFUIYOOajnl8uMt3qXHFUL6X51jHbrQIZE+M+9TBs96qow3VKXVBkmhCJi/FN3c1XDsxyeB6UZ5zQBM/PNRvNsIHvTgflIqlesYij9qBFifkBx1FOWUSpkdaiSQSRA1DHL5c5XsxoAfI7RHcv410MRzEh9VFc/OMqSvWugi/1Kf7opMZw9c1qNxNZ+NLaC1vBa/wBp222R/LDnMZO3GeMkcV0tcf46tZxe6RqVuP3sEjIhH9/G5R+JBH41WMpqph5RZ5WBnyV4s6RdTuLCVI9SaN7dyFW7UbNrdg46DPqOKvajYx6jYyW0vyhx8rgcxsOQw9waw9N13SfEVv5ETiQyxnzLaRSDjuOeuKu6HczRtPpN0xaS0AMMjHmWE/dP1H3T9K/O69GVN88Vyyjq/wDNH2GjVnsxdKvZLu1InTy7qBzFOh7OP6HqPrVDw9KNK8QajoDDbFKTe2f+6x+dR9Dz+NW9QDafrcF6o/0e9xb3B/uuM+W348r+Iqp4nt5o7eDWbKPfeaZJ5qqBzJH/ABp+I/lX2EuXNcu/vW/FHzkU8FjLPZl+aVNF8XWeov8AJb6lH9jnbsJBzGT9eVrqriCO6t5raZd0cqFHHqCMGudmisvEmggZ3W15EHjYdV7gj3B/lVvw1q095C+n6kNmqWQCzD/nsv8ADKvqD+hr5vCVXOnyv4ob97f8Db7j2qkdb9GeaX3gfXtMvLXTWubdrCaV47eRnI34G4B8DPTIx7VoQeArnaFm1SOGP+7bW/P5k/0ruvFyZ0mGYffgvIZFI/3sfyNREYOK+twDjXpc01qeXjcbiaUlGE3axj6Z4X0rS3WWOAzXC/8ALedt759uw/Ctc9DRQehr1EklZHiSnOpLmk7s663t2aON5NrHaNvsMVZCH2pLb/j1i/3B/Kpa47WPcT0Q3FJtp9FAxhSk2VJRQBH5dIYyfSpaKAK5gY9xUbWjt/EuKuUUDuU0tWUY+XPtR9kfcOVxmrlFAiMR49KUoTT6KAI9lZ02m3EszPvjwfc1q0UAZP8AZlwoO1o8+5NMGlXRO55IyfqeP0rZooAyf7Muf+ekf5n/AApRp1z3aP8AM1q0UAZo0+f+8n5mqmp6JdX1ukUU6RkOGJyeR6Vu0UAYsWj3EUQjEkZwPU/4VG+iXbEESRZHuf8ACt6incDIXS7kLhniP4n/AArVQFUVfQYp1FFwOErhvHWtyvKNIsyFaEpJJJ3EmcooPboCa7S7uVs7Oe6f7sMbOfwGa8njeW5uLaWdt1xd3Hnyk9+/6cCrxE+WNu5z5PhFiKzlLaP5s1NBiubjxbYzxDy423zOucBD0lQD1zz9CK7XUHNnqOnago4E32eb/ck4/RgK4K7e+s9Tgn0uF5rglpvLU90HJx7rkH1FdsdQttd0y1+xsJJLqSNhGDlkwwLZHbGDXyuOhLmhUa91qx9HOHsqkqLeq/Lobmp2Q1DTp7TO0yLhG/usOVP4ECqel3bXumwzSptlIKyp/dcHDD8wa1m5yR61i2+2112/suizBbqP/gXyv+oH51lw1ibVZUHs9fmjys3o81JVFuinobtoWtS6FMf9Cui02nsTwp/ji/DqBW5faYl48Vwkr293BnybmP7ye3oVPcHis/WdKj1ix8hnMU0bCSCZesUg6Ef19qn0HWG1O3eG6j8jULQhLuH0bsw/2T1BozzAzw9X63R0T38n/wAEeXYpVqfsp7oq6/d6zHZWT372b20V5F55hRlaQE4BweFAJBNaZ6moPEtuLrw1qUI6m3ZgfQgbh/KksJ/tOnW056ywo35gV63D+KlXoyUt0zhzakozi11J6D0NFB6Gvojxludtbf8AHrF/uD+VS1Fbf8esX+4P5VLXG9z347IKKKKQwooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAPNtdtJr/Qr60tz+9mhZUGcZJHT+leb6UolvHe4XyZ7cGMW78OnqSK9WrP1XQdN1lQLy3BkX7s0Z2SL9GHNa16PtVo9TlyzMvqU9Y3icz4cja68V+Yo+Sxt2LN6O/AH1wCa3MReG9YkvBGF07UXAuGA/1Ep6N7K3Q+hrQ07TLTSbQW1lF5ceckk5Zj6k9zViWOOaJ4pUV43UqysMhgexrKpgoVcO6E9mLEZnKrjHiFon08i79aytSUJq+nXGOW8yAn1yNw/wDQTVW1uZvD4FreNLPpw/1N0fmaAf3JO+B2b86kudRs9S1CxgsrmK5aKQzyGFtwVQpAyR0yWr4zCYHEYTMYJrS+/Sx69fEUq+Ek0+hoVnajpsk08eoWEot9QgXCOeUkX+447r/KtGivvpwjUi4zV0z5WE5U5KUXZmPf6/NNps9i2lXcWpTxNEkPlloyWGNwkHG0ZzzWlZW/2Sxt7bdu8mNUz64GKnyfwpK4sFl9HBcypdToxOLniLc/QKD0NFB6Gu85V0O2tv8Aj1i/3B/Kpahtj/osX+4P5VhaV4r+13+p2eoWy2ZsS7JIJN6zRoxVmHAxgr09xXG9z347I6Oiue0TxSdRtrie9tfsfl3bW0cQYyO5AB6AdcHoM1dk8R6TFbRXEl6ixyzeQpIOfMzjaRjIOfWkM1KKxL7xVptlZz3Bdma3kSOSJlMbgucLwwHB6g96WbxVplrc3sV1MsCWckcbytyC79Bgc0AbVFZza7YLEJDK4UluPJfd8v3jjGcD16VehmjuIUmhdZI5FDI6nIYHoRQA+iiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAOW/sC/8A7sf/AH3R/YF//dj/AO+66mitfayOT6pT8zlv7Av/AO7H/wB90f2Bf/3Y/wDvuupoo9rIPqlPzOW/sC//ALsf/fdMi8NXUG7yYLeLccnYQuT+ArrKKPayvcPqlPzOW/sC/wD7sf8A33R/YF//AHY/++66mil7WQfVKfmct/YF/wD3Y/8Avuj+wL/+7H/33XU0U/ayD6pT8zlv7Av/AO7H/wB90HQL/B+WPp/frqaKXtZB9Up+ZHCrJAinqqgVzreEBcTwT3V5uaC7ln/dR7d6SMWaJuTkZwfwrpqKzOtaHOReGr2KO4A1JQZ79rwqsJCtkYMbfNkjgdCOlQjwhPHa/ZoL+NI/7TGofNb55DBtvDDjI611NFAHG+INDvJZdW8hmnl1VYAkawEKnlsOr5x0yeQKt6l4Vu7+fVHTUIol1CWB8G3LFPKxgZ3DOcV09FAGPqejXGo3KyG82xGBoXhMe5cn+Mc/e+uRVnR7B9K0i109pRKLWJYlcLtyFGBkZ61fooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooA//9k=)
When the musician plucks the string of an instrument, like the sitar, the sound that we hear is not only that of the string. The whole instrument is forced to vibrate, and it is the sound of the vibration of the instrument that we hear. Similarly, when musician strike the membrane of a mridangam, the sound that we hear is not only that of the membrane but of the whole body of the instrument.
The figure below depicts the Mridangam and Sitar.
![](data:image/jpeg;base64,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)
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Question 28.You might have observed that sometimes your pet dog starts barking though no one is seen near in its surroundings or no disturbance heard nearby. Does this observation raise any doubts in your mind about the peculiar behavior of dog after your understanding about ‘range of hearing the sound’. If yes, write them.
Answer:Dogs can hear the sound ranging from 67 Hz to 45000 Hz. Therefore it can also hear the ultrasonic sound waves. When there is other creature or anything that produces ultrasound waves the dog detects it and starts barking to warn us. We humans can hear sound waves from 20 Hz to 20000 Hz hence we can’t hear the sound waves that can be heard by dog.
When we say sound travels in a medium
A. The medium travels
B. The particles of the medium travel
C. The source travels
D. The disturbance travels
Answer:
When the source of sound vibrates it creates disturbance in the medium near it. And this disturbance disturbs the neighboring molecules (of medium) with the help of previous molecules (of medium). And in this way the particles of medium travels.
Question 2.
Two sources A and B vibrate with the same amplitude. They produce sounds of frequencies 1 kHz and 30 kHz respectively. Which of the two waves will have larger power?
Answer:
The power of the sound wave is directly proportional to the Frequency.
∴ The sound wave having high frequency will have more energy.
⇒ Sound of Frequency 30 KHz has more energy than sound of 1 kHz.
Question 3.
A sound wave consists of
A. number of compression pulses only
B. number of rarefaction pulses only
C. number of compression and rarefaction pulses one after the other
D. vacuum only.
Answer:
The sound wave travels through the series of compression and rarefactions that vary periodically. Therefore the sound wave consists of compression and rarefactions.
Question 4.
Hertz stands for oscillations per
A. second
B. minute
C. hour
D. milli second
Answer:
Hertz is the S.I unit of the frequency and it is defined as the number of oscillations per second.
Question 5.
When we increase the loudness of sound of a TV, the property of sound that changes is
A. amplitude
B. frequency
C. wavelength
D. speed
Answer:
The amplitude of the wave determines the loudness, more the amplitude of the wave more is the loudness produced. While Frequency determines the pitch of the sound.
Question 6.
The characteristic of the sound that describes how the brain interprets the frequency of sound is called ( )
A. Pitch
B. Loudness
C. Quality
D. Sound
Answer:
Pitch is the characteristics of sound that distinguish between shrill sound and growling sound. The sensation of pitch of sound is conveyed to our brain by sound waves that fall on our ears.
Question 7.
In a stethoscope, sound of heart beats travel through stethoscopes tube
A. By bending along the tube
B. In a straight line
C. Undergoing multiple reflections
D. all of the above
Answer:
Sound can get reflected a number of times before reaching us. In multiple reflections of sound waves, they add up and the loudness increases. In a stethoscope, the sound of a patient’s heart beat is guided along the tube to the doctor's ears by multiple reflections. The figure below describes the multiple reflections in stethoscope.
Question 8.
Explain the following terms
a) Amplitude
b) Wavelength
c) Frequency.
Answer:
a. Amplitude: It is defined as the maximum displacement of particles in the medium on either side of the mean position. It is denoted by A. Its SI unit is meter. The figure below depicts the amplitude of the wave.
b. Wavelength: It is defined as the distance travelled by a wave during the time a particle of the medium completes one vibration. Or the distance between successive crests or troughs of a wave It is denoted by Greek letter ‘λ’ read as Lambda. Its SI unit is meter. The figure below illustrates the wavelength.
c. Frequency: The number of oscillations of the particle of the medium at a place per unit of time is called frequency of the sound wave. It is denoted by Greek letter ‘ν’ read as nu. Its S.I unit is Hertz (Hz).
Question 9.
Deduce the relation between wavelength, frequency and speed of sound.
Answer:
Let ‘λ’ be the wavelength and ‘T’ be the time period. ‘v’ be the speed of sound wave.
⇒ Wave travels distance ‘λ’ in time ‘T’. (Because wavelength is the distance travelled by particle during particular time).
WE know that;
⇒ (Distance travelled in time ‘T’ = wavelength (λ).)
⇒
(∵ Frequency (ν) = )
∴ Speed of sound wave = Frequency × Wavelength
Question 10.
How are multiple reflections of sound helpful to doctors and engineers?
Answer:
Multiple reflection of sound is used in various appliances and devices. The examples are as follows:
1. Stethoscope: A medical instrument used for listening the sound produced by heart or lungs. The sounds of heartbeat reach the doctor ear by multiple reflections and amplify the sound. The figure below describes multiple reflections in stethoscope.
2. Designing of Concert Halls: The ceilings of concert halls, conference hall and cinema halls are designed such that sound undergoes multiple reflections and reaches all corners of the hall. Some halls have a curved ceiling for the same. The figure below depicts the multiple reflections in concert hall.
3. Megaphone: It is a horn shaped tube in which one end is at speaker end and other end is at listener end. The sound waves suffer multiple reflections repeatedly due to it they reach in particular direction without spreading out. Figure below illustrates the multiple reflections in Megaphone.
4. Hearing Aid: Used by person who find it difficult to hear. Sound waves are received by a wide end and are reflected into a much narrower area leading it to the ear. This increases amplitude of vibration in ear and helps in hearing.
Question 11.
Name two quantities that vary periodically at a place in air as a sound wave travels through it.
Answer:
The series of compression and rarefaction vary periodically at place in air as sound travel through it. Compression is the region where the density as well as pressure of the air is very high. Rarefaction is the region where the density as well as the pressure is very low. The Figure below shows the compression and rarefaction as the sound travels in a medium.
Question 12.
Which has larger frequency – infrasonic sound or ultrasonic sound?
Answer:
Ultrasonic sound have higher frequency than infrasonic sound. Because Infrasonic sound are the sound waves with frequency less than 20 Hz (hertz).While Ultrasonic sound are the sound waves having frequency higher than 20 kHz. The figure below depicts more clearly the frequency range of infrasonic and ultrasonic sound waves.
Question 13.
The grandparents and parents of two-year old girl are playing with her in a room. A sound source produces a 28-kHz sound. Who in the room is most likely to hear the sound?
Answer:
No one can hear the sound because the range of human hearing is between 20 Hz to 20,000 Hz. While the sound produced is of frequency 28,000 Hz which is more than the upper limit of human hearing range. It is ultrasonic sound wave.
Question 14.
Does the sound follow same laws of reflection as light does?
Answer:
Yes, the sound wave follows the same laws of reflection as the light does. The laws of reflection of sound are as follows:
1. The incident sound wave, the reflected sound wave and the normal at the point of incident, all lie in the same plane.
2. The angle of incidence of sound wave and angle of reflection of sound wave to the normal are equal.
The same laws hold in the reflection of light. The Incident ray, reflected ray and normal lie in the same plane and angle of incidence is equal to angle of reflection.
The figure below depicts the reflection of sound and light.
Reflection of Sound Waves.
Reflection of Light
Question 15.
Why is soft furnishing avoided in concert halls?
Answer:
Soft furnishing leads to reverberation which causes multiple reflections of sound due to which higher frequency sounds bouncing off walls, floors and ceilings and arriving at your ears just slightly later than the direct sound and this adversely affect the quality of the sound, Hence avoiding soft furnishing in concert halls reduces the reverberation and quality of sound is improved. The figure below depicts the effect of soft furnishing.
Question 16.
What do you understand by a sound wave?
Answer:
A sound wave is the pattern of disturbance caused by the movement of particles traveling through a medium (such as air, water, or any other liquid or solid matter) as it propagates away from the source of the sound. The source is some object that causes a vibration, such as a ringing telephone, or a person's vocal chords. The vibration disturbs the particles in the surrounding medium; those particles disturb those next to them, and so on. The sound waves travel in medium through compression and rarefactions.
Sound waves are Longitudinal Waves which means that particles of the medium moves in the direction of propagation of the wave. The figure below depicts how the sound wave travels.
Question 17.
Define the wavelength of a sound wave. How is it related to the frequency and the wave speed?
Answer:
Wavelength:
Wavelength is the distance travelled by a wave during the time a particle of the medium completes one vibration. It is also defined as the distance between successive crests or troughs of a wave. It is denoted by Greek letter ‘λ’ read as Lambda. Its SI unit is meter.
Relation with Frequency and Wave speed:
Wave speed (v) = Wavelength (λ) × Frequency (.
The derivation of the above relation is as follows.
We know that;
∵ Wavelength (λ) = distance travelled in time ‘T’.
⇒
Also
∵ Frequency (ν) =
⇒
Hence Wave speed (v) = Wavelength (λ) × Frequency (.
Question 18.
Explain how echoes are used by bats to judge the distance of an obstacle in front of them.
Answer:
To help them find their prey in the dark, most bat species have developed a remarkable navigation system called echolocation. Bats use echo in this process .A bat emits a ultrasound waves and listens carefully to the echoes that are returned. The ultrasound pulses are not echoed if way is clear. The bat's brain processes the returning information the same way we processed our shouting sound using a stopwatch and calculator. By determining how long it takes a noise to return, the bat's brain figures out how far away an object is. They compare the volume of echoes in their right and left ears, and turn away from the louder echo, since that obstacle would presumably be nearer this method allowed bats to avoid obstacles using just the first millisecond of the echo as a signal.
The figure below depicts the whole process.
Question 19.
With the help of a diagram describe how compression and rarefaction pulses are produced in air near a source of sound.
Answer:
When a vibrating object moves forward, it pushes the molecules of the air in front of it and create region of high pressure and high density called Compression. As the compression produced in the air travels forward, the Vibrating body moves backward. They create a region of low pressure and low density in the Air commonly called rarefaction. The compression and rarefaction causes the particles in air to vibrate about their mean position. The Figure below illustrates the formation of compression and rarefaction by Tuning fork.
Question 20.
How do echoes in a normal room affect the quality of the sounds that we hear?
Answer:
For a distinct echo to take place, the minimum distance between the source of sound and the reflector must be 17.2 meters at a particular temperature in the air. The persistence of sound is 0.1 seconds. Since the distance between the walls and ceilings of a small room from the source of sound is less than 17.2 meters, the reflected sound is produced 0.1 second before the original sound. Due to this, a prolonged sound is heard in place of an echo which is called reverberation. Due to multiple reflections we hear same sound many times.so this persistence of sound creates a problem in listening words separately. The sound we hear comes many no of times and this is how our brain is confused to recognize the sound.
Question 21.
Explain the working and applications of SONAR.
Answer:
Working: SONAR is an acronym for Sound Navigation and Ranging. A beam of ultrasonic sound is produced and transmitted by the transducer (it is a device that produces ultrasonic sound) of the SONAR, which travels through sea water. The echo produced by the reflection of this ultrasonic sound is detected and recorded by the detector, which is converted into electrical signals. The distance (d) of the under-water object is calculated from the time (t) taken by the echo to return with speed (v) is given by 2d = v × t. This method of measuring distance is also known as ‘echo-ranging’. The figure below illustrates the working.
Applications
1. Used to measure the depth, direction, and speed of under-water objects such as submarines and ship wrecks.
2. It is also used in military for detecting the presence of enemy ships.
Question 22.
Find the period of a source of a sound wave whose frequency is 400Hz.)
Answer:
We know that;
In our question;
Frequency = 400 Hz.
∴
⇒ Time Period = 0.0025 s.
Question 23.
A sound wave travels at a speed of 340 m/s. If its wavelength is 2cm, what is the frequency of the wave? Will it be in the audible range?
Answer:
It is given that,
Velocity (v) of sound = 339 m/s.
Wavelength (λ) = 1.5 cm = 0.015 m.
Frequency (ν) =?
We know that, speed = wavelength × frequency
⇒340 m/s = 0.015 m × frequency
⇒ Frequency = = 22666.66 Hz
⇒ Frequency = 22666.66 Hz.
∵ Audible frequency range is from 20 Hz to 20000 Hz
Hence the freq. is beyond 20000 Hz so it is not audible.
∴ the above sound is not audible.
Question 24.
Given that sound travels in air at 340 m/s, find the wavelength of the waves in air produced by a 20kHz sound source. If the same source is put in a water tank, what would be the wavelength of the sound waves in water? Speed of sound in water = 1,480 m/s.
Answer:
Case 1:
It is given that,
Velocity (v) of sound = 340 m/s.
Wavelength (λ) =?
Frequency (ν) = 20 kHz = 20000 Hz (∵ 1 kHz = 1000 Hz.)
We know that, speed = wavelength × frequency
⇒340 m/s = wavelength × 20000
⇒ Frequency = = 0.017 m.
⇒ Wavelength = 0.017 m.
Case 2:
If the sound source is put in a water tank, the frequency of the waves remains unchanged.
∴ According to the question
Velocity (v) of sound = 1480 m/s.
Wavelength (λ) =?
Frequency (ν) = 20 kHz = 20000 Hz (∵ 1 kHz = 1000 Hz.)
We know that, speed = wavelength × frequency
⇒1480m/s = wavelength × 20000
⇒ Frequency = = 0.074 m.
⇒ Wavelength = 0.074 m.
Question 25.
A man is lying on the floor of a large, empty hemispherical hall, in such a way that his head is at the centre of the hall. He shouts “Hello!” and hears the echo of his voice after 0.2 s. What is the radius of the hall? (Speed of sound in air = 340 m/s)
Answer:
Since the man receives the echo after 0.2 seconds. And echo is returned after reflection from the walls of hall.
∴ Time taken by sound wave to travel to wall of hall is 0.1 s
⇒ Time (T) = 0.1 s
Speed (v) of sound in air = 340 m/s)
We know that
⇒ 340 =
⇒ D =
Hence the distance travelled by sound wave is 34 m.
∵ the hall is hemispherical therefore the distance of the man from the walls of the hall is same and is equal to the radius of the hall.
Hence radius of hall is 34 m.
Question 26.
“We know that sound is a form of energy. So, the large amount of energy produced due the sound pollution in cosmopolitan cities can be used to our day to day needs of energy. It also helps us to protect bio diversity in urban areas”. Do you agree with this statement? Explain.
Answer:
As the energy can neither be created nor be destroyed but can be transformed from one form to other. And sound is also one of the forms of energy; Therefore It is possible to produce energy from sound. Sound consists of electromagnetic waves which contain energy; the problem is we do not have the knowledge to convert that energy into something more useful. So the answer is YES, and deeper study on the subject is required to achieve it.
It may be possible if we can concentrate sound at some particular point by refraction, total internal reflection or some other phenomena of sound .The blast of sound can create music, noise and destruction. With a collector or energy-absorbing panel adapted to the sound, you can save this energy.
Also the biodiversity in area can be protected because high levels of sound causes damage to their ears and also cause other disorders. Thus using the energy to produce other forms of energy can reduce the high levels of sound in that area and thereby will protect the bio diversity.
Question 27.
How do you appreciate efforts of a musician to produce melodious sound using a musical instrument by simultaneously controlling frequency and amplitude of the sounds produced by it.
Answer:
Quality or timbre is that characteristic of musical sound which enables us to distinguish between the sounds of same pitch an loudness produced by different musical instruments or different persons. The difference in the quality of two musical sounds produced by two musical instruments is due to the difference in the shapes of sound waves or waveforms produced by them.
Many of us might have seen the manjira (cymbals), the ghatam, and the noot (mudpots) and the kartal. These instruments are commonly used in many parts of our country. These musical instruments are simply beaten or struck .The figure below depicts these instruments.
When the musician plucks the string of an instrument, like the sitar, the sound that we hear is not only that of the string. The whole instrument is forced to vibrate, and it is the sound of the vibration of the instrument that we hear. Similarly, when musician strike the membrane of a mridangam, the sound that we hear is not only that of the membrane but of the whole body of the instrument.
The figure below depicts the Mridangam and Sitar.
Question 28.
You might have observed that sometimes your pet dog starts barking though no one is seen near in its surroundings or no disturbance heard nearby. Does this observation raise any doubts in your mind about the peculiar behavior of dog after your understanding about ‘range of hearing the sound’. If yes, write them.
Answer:
Dogs can hear the sound ranging from 67 Hz to 45000 Hz. Therefore it can also hear the ultrasonic sound waves. When there is other creature or anything that produces ultrasound waves the dog detects it and starts barking to warn us. We humans can hear sound waves from 20 Hz to 20000 Hz hence we can’t hear the sound waves that can be heard by dog.
Project Work
Question 1.Find out the information about names of animals and their photographs from internet, which communicate using infra-sonic or ultra-sonic sound and prepare a scrap book.
Answer:Animals that communicate through infra sonic or ultra-sonic are whales, elephants, hippopotamuses, rhinoceros, giraffes, okapi, and alligators
1. Below is an image showing the whale using ultra sonic waves in the water to communicate with other fishes.
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)
When the sound hits the object in the water it bounces back as an echo and whales absorb this echo .
2. Bats use ultrasound to find and catch insects. The phenomenon is called as echolocation. Some species are better at it than others.
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3. When male mice perceive the pheromones of a female counterpart, they respond with ultrasonic sounds.
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)
Find out the information about names of animals and their photographs from internet, which communicate using infra-sonic or ultra-sonic sound and prepare a scrap book.
Answer:
Animals that communicate through infra sonic or ultra-sonic are whales, elephants, hippopotamuses, rhinoceros, giraffes, okapi, and alligators
1. Below is an image showing the whale using ultra sonic waves in the water to communicate with other fishes.
When the sound hits the object in the water it bounces back as an echo and whales absorb this echo .
2. Bats use ultrasound to find and catch insects. The phenomenon is called as echolocation. Some species are better at it than others.
3. When male mice perceive the pheromones of a female counterpart, they respond with ultrasonic sounds.