Saturday, April 29, 2023

A Fire Essay for School Students.

Fire is a powerful and destructive force that can cause significant damage to property and human life. It is a phenomenon that has fascinated humans for centuries, but it also poses a serious threat to our safety and well-being. Understanding fire and how to prevent and control it is essential to protect ourselves and our environment.


Fire is caused by the combustion of a material, which releases heat, light, and gas. It can occur due to natural causes, such as lightning strikes, or human-made causes, such as electrical faults or improper use of flammable materials. The effects of fire can be devastating, including destruction of property and loss of life.


Preventing fires is essential to minimize the damage they cause. Proper handling and storage of flammable materials, regular maintenance of electrical and gas systems, and education on fire safety are all critical in preventing fires from occurring. Smoke detectors, fire extinguishers, and fire alarms are also essential tools to detect and control fires.


When a fire does occur, it is important to act quickly and calmly. Calling the emergency services, evacuating the building, and using fire extinguishers are all crucial steps in controlling the spread of the fire. It is essential to stay low to the ground and avoid inhaling smoke, as it can be toxic and cause suffocation.


Firefighters are the brave individuals who put their lives at risk to control and extinguish fires. They use specialized equipment and techniques to control fires and protect people and property from harm. Firefighting is a dangerous and challenging profession, requiring bravery, physical fitness, and quick thinking.


In conclusion, fire is a powerful and destructive force that requires careful attention and management. Understanding how to prevent fires and respond to them is essential for our safety and well-being. While fires can cause significant damage and loss, we can minimize their impact through education, awareness, and quick action when they occur. Firefighters are also essential in protecting our communities from the dangers of fire, and we must respect and support their bravery and sacrifice.

A Busy Street Essay for School Students.

A busy street is a place where people from different walks of life come together. It is a bustling and vibrant space filled with the hustle and bustle of daily life. A busy street is not just a physical space; it is a reflection of the people who live and work there, and it provides a glimpse into their culture, traditions, and way of life.


One of the defining features of a busy street is the noise. Cars honking, people talking, and the sound of music and street vendors fill the air, creating a lively and energetic atmosphere. There is a constant stream of movement, with people hurrying to work, school, or home, and others leisurely strolling along, taking in the sights and sounds of the street.


The diversity of people on a busy street is another defining characteristic. People from different social and economic backgrounds, ethnicities, and cultures come together, creating a melting pot of diversity. This creates a unique atmosphere, where people can interact, exchange ideas, and learn from one another.


Street vendors are also an integral part of a busy street. They sell a variety of items, including food, clothing, and other goods. The smell of street food and the sight of colorful displays attract many people, creating a lively and bustling market atmosphere.


However, a busy street can also be challenging to navigate. Traffic can be heavy, and pedestrians must be cautious while crossing the street. Pickpockets and other petty criminals are also a common sight, making it important to be aware of one's surroundings.


In conclusion, a busy street is a vibrant and dynamic place that provides a window into the daily lives of people. It is a reflection of their culture, traditions, and way of life, and it offers a unique opportunity for people to interact and learn from one another. While it can be noisy and challenging to navigate at times, a busy street is a place of energy and excitement that is sure to leave a lasting impression on those who experience it.

A birthday party Essay for School Students.

A birthday party Essay for School Students.


A birthday party is a celebration that is held to mark the anniversary of someone's birth. It is a special occasion that brings friends and family together to celebrate and have fun. The excitement and joy that come with a birthday party are unforgettable, and it is a memorable experience for everyone involved.


One of the most important elements of a birthday party is the preparation. The host spends days planning and preparing for the party, ensuring that everything is in order. They choose a venue, prepare the decorations, order the cake, and plan the activities that will take place during the party.


On the day of the party, guests arrive dressed in their best clothes, and the festivities begin. The atmosphere is lively and cheerful, with music and laughter filling the air. Guests enjoy a variety of snacks and drinks, including cake and ice cream, which are the highlights of any birthday party.


Games and activities are also an essential part of a birthday party. Children enjoy playing games like musical chairs, pin the tail on the donkey, and other fun activities. These games provide a source of entertainment and allow the children to bond and have fun together.


As the party comes to an end, the host thanks everyone for coming and hands out party favors. These are small gifts that guests can take home as a memento of the party. The guests then say their goodbyes and leave, taking with them memories that they will cherish for a long time.


In conclusion, a birthday party is a fun and memorable occasion that brings people together to celebrate someone's birth. It is a time of joy, excitement, and happiness, and it is a great way to create lasting memories with friends and family. Whether it is a small gathering or a big party, a birthday celebration is always a special event that is eagerly awaited by everyone.

Monday, April 17, 2023

Samacheer Kalvi 10th Maths Solutions Chapter 1 Relations and Functions Ex 1.1

Tamilnadu State Board helps you to revise the complete Syllabus and score more marks in your examinations.

10th Maths Exercise 1.1 Samacheer Kalvi Question 1.
Find A × B, A × A and B × A
(i) A = {2,-2,3} and B = {1,-4}
(ii) A = B = {p,q]
(iii) A= {m,n} ; B = (╬ж)
Solution:
(i) A = {2,-2,3}, B = {1,-4}
A × B = {(2, 1), (2, -4), (-2, 1), (-2, -4), (3,1) , (3,-4)}
A × A = {(2, 2), (2,-2), (2, 3), (-2, 2), (-2, -2), (-2, 3), (3, 2), (3, -2), (3,3) }
B × A = {(1, 2), (1, -2), (1, 3), (-4, 2), (-4, -2), (-4,3)}

(ii) A = B = {(p,q)]
A × B = {(p, p), {p, q), (q, p), (q, q)}
A × A = {(p, p), (p, q), (q, p), (q, q)}
B × A = {(p,p), {p, q), (q, p), (q, q)}

(iii) A = {m,n} × ╬ж
A × B = { }
A × A = {(m, m), (m, n), (n, m), (n, n)}
B × A = { }

10th Maths Exercise 1.1 Question 2.
Let A= {1,2,3} and B = {× | x is a prime number less than 10}. Find A × B and B × A.
Answer:
A = {1,2,3}, B = {2, 3, 5, 7}
A × B = {1,2,3} × {2, 3, 5, 7}
= {(1, 2) (1, 3) (1, 5) (1, 7) (2, 2)
(2, 3) (2, 5) (2, 7)(3, 2) (3, 3) (3, 5) (3, 7)}
B × A = {2, 3, 5, 7} × {1,2,3}
= {(2, 1)(2, 2)(2, 3)(3, 1)(3, 2)(3, 3) (5, 1)(5, 2)(5, 3) (7, 1) (7,2)(7, 3)}

10th Maths Exercise 1.1 In Tamil Question 3.
If B × A = {(-2, 3),(-2, 4),(0, 3),(0, 4),(3, 3), (3, 4)} find A and B.
Solution:
B × A ={(-2, 3), (-2, 4), (0, 3), (0, 4), (3, 3), (3, 4)}
A = {3, 4), B = { -2, 0, 3}

Samacheer Kalvi 10th Maths Exercise 1.1 Question 4.
If A= {5, 6}, B = {4, 5 ,6}, C = {5, 6, 7}, Show that A × A = (B × B) ∩ (C × C)
Answer:
A ={5,6}, B = {4,5,6}, C = {5, 6,7}
A × A = {5, 6} × {5,6}
= {(5, 5) (5, 6) (6, 5) (6, 6)} ….(1)
B × B = {4, 5, 6} × {4, 5, 6}
= {(4, 4)(4, 5)(4, 6)(5, 4)(5, 5) (5, 6) (6, 4)(6, 5) (6, 6)}
C × C = {5,6,7} × {5,6,7}
= {(5, 5)(5, 6)(5, 7)(6, 5)(6, 6) (6, 7)(7, 5)(7, 6) (7, 7)}
(B × B) ∩ (C × C) = {(5, 5)(5, 6)(6, 5)(6, 6)} ….(2)
From (1) and (2) we get
A × A = (B × B) ∩ (C × C)

Ex 1.1 Class 10 Samacheer Question 5.
Given A ={1, 2, 3}, B = {2, 3, 5}, C = {3, 4} and D = {1, 3, 5}, check if (A ∩ C) x (B ∩ D) = (A × B) ∩ (C × D) is true?
Solution:
LHS = {(A∩C) × (B∩D)
A ∩C = {3}
B ∩D = {3, 5}
(A ∩ C) × (B ∩ D) = {(3, 3) (3, 5)} ………….. (1)
RHS = (A × B) ∩ (C × D)
A × B = {(1, 2), (1, 3), (1, 5), (2, 2), (2, 3), (2, 5), (3, 2), (3, 3), (3, 5)}
C × D = {(3, 1), (3, 3), (3, 5), (4, 1), (4, 3), (4, 5)}
(A × B) ∩ (C × D) = {(3, 3), (3, 5)} …(2)
∴ (1) = (2) ∴ It is true.

10th Maths Book Exercise 1.1 Question 6.
Let A = {x ∈ W | x < 2},
B = {x ∈ N | 1 < 1 < × < 4} and
C = {3,5}. Verify that
(i) A × (B ∪ C) = (A × B) ∪ (A × C)
(ii) A × (B ∩ C) = (A × B) ∩ (A × C)
(iii) (A ∪ B) × C = (A × C) ∪ (B × C)
Answer:
(i) A = {0, 1}
B = {2,3,4}
C = {3,5}
(i) A × (B ∪ C) = (A × B) ∪ (A × c)
B ∪ C = {2, 3,4} ∪ {3,5}
= {2, 3, 4, 5}
A × (B ∪ C) = {0, 1} × {2, 3, 4, 5}
= {(0, 2) (0, 3) (0, 4) (0, 5) (1, 2) (1, 3)(1, 4)(1, 5)} ….(1)
A × B = {0, 1} × {2,3,4}
= {(0,2) (0,3) (0,4) (1,2) (1,3) (1,4) }
A × C = {0, 1} × {3, 5}
{(0, 3) (0, 5) (1,3) (1,5)}
(A × B) ∪ (A × C) = {(0, 2) (0, 3) (0, 4) (0, 5) (1, 2)(1, 3)(1, 4)(1, 5)} ….(2)
From (1) and (2) we get
A × (B ∪ C) = (A × B) ∪ (A × C)

(ii) A × (B n C) = (A × B) n (A × C)
B ∩ C = {2,3,4} ∩ {3,5}
= {3}
A × (B ∩ C) = {0, 1} × {3}
= {(0,3) (1,3)} ….(1)
A × B = {0,1} × {2,3,4}
= {(0, 2) (0, 3) (0, 4) (1,2) (1,3) (1,4)}
A × C = {0,1} × {3,5}
{(0, 3) (0, 5) (1,3) (1,5)}
(A × B) n (A × C) = {(0, 3) (1, 3)} ….(2)
From (1) and (2) we get
A × ( B n C) = (A × B) n (A × C)

(iii) (A ∪ B) × C = (A × C) ∪ (B × C)
A ∪ B = {0, 1} ∪ {2,3,4}
= {0,1, 2, 3, 4}
(A ∪ B) × C = {0, 1,2, 3,4} × {3,5}
= {(0, 3) (0, 5) (1, 3) (1, 5)(2, 3) (2, 5) (3, 3)(3, 5) (4, 3)(4, 5)} ….(1)
A × C = {0, 1} × {3,5}
= {(0,3) (0,5) (1,3) (1,5)}
B × C = {2,3,4} × {3,5}
= {(2,3) (2,5) (3,3) (3,5)(4,3)(4,5)}
(A × C) ∪ (B × C) = {(0, 3) (0, 5) (1, 3) (1, 5) (2, 3)(2, 5) (3, 3) (3, 5) (4, 3) (4, 5)} ….(2)
From (1) and (2) we get
(A ∪ B) × C = (A × C) ∪ (B × C)

Maths Exercise 1.1 Class 10 Samacheer Question 7.
Let A = The set of all natural numbers less than 8, B = The set of all prime numbers less than 8, C = The set of even prime number. Verify that
(i) (A ∩ B) × c = (A × C) ∩ (B × C)
(ii) A × (B – C ) = (A × B) – (A × C)
A = {1, 2, 3, 4, 5, 6, 7}
B = {2, 3, 5, 7}
C = {2}
Solution:
(i)(A ∩ B) × C = (A × c) ∩ (B × C)
LHS = (A ∩ B) × C
A ∩ B = {2, 3, 5, 7}
(A ∩ B) × C = {(2, 2), (3, 2), (5, 2), (7, 2)} ………… (1)
RHS = (A × C) ∩ (B × C)
(A × C) = {(1, 2), (2, 2), (3, 2), (4, 2), (5, 2), (6, 2), (7, 2)}
(B × C) = {2, 2), (3, 2), (5, 2), (7, 2)}
(A × C) ∩ (B × C) = {(2, 2), (3, 2), (5, 2), (7, 2)} ……….. (2)
(1) = (2)
∴ LHS = RHS. Hence it is verified.

(ii) A × (B – C) = (A × B) – (A × C)
LHS = A × (B – C)
(B – C) = {3,5,7}
A × (B – C) = {(1, 3), (1, 5), (1, 7), (2, 3), (2, 5), (2, 7) , (3, 3), (3, 5), (3, 7), (4, 3), (4, 5), (4, 7), (5, 3), (5, 5), (5, 7), (6, 3) , (6, 5), (6, 7), (7, 3), (7, 5), (7, 7)} …………. (1)
RHS = (A × B) – (A × C)
(A × B) = {(1,2), (1,3), (1,5), (1,7),
(2, 2), (2, 3), (2, 5), (2, 7),
(3, 2), (3, 3), (3, 5), (3, 7),
(4, 2), (4, 3), (4, 5), (4, 7),
(5, 2), (5, 3), (5, 5), (5, 7),
(6, 2), (6, 3), (6, 5), (6, 7),
(7, 2), (7, 3), (7, 5), (7,7)}
(A × C) = {(1, 2), (2, 2),(3, 2),(4, 2), (5, 2), (6, 2), (7, 2)}
(A × B) – (A × C) = {(1, 3), (1, 5), (1, 7), (2, 3), (2, 5), (2, 7), (3, 3), (3, 5), (3, 7), (4, 3), (4, 5), (4, 7), (5, 3), (5, 5), (5, 7), (6, 3), (6, 5), (6, 7), (7, 3), (7, 5), (7,7) } ………….. (2)
(1) = (2) ⇒ LHS = RHS.
Hence it is verified.


10 Lines on Advantages and Disadvantages of Offline Study

1) Offline mode of study is more beneficial and productive as compared to any other mode of study.

2) The offline mode of study enables direct interaction between the teachers and students.

3) Offline studies provide a healthy competitive environment to the students.

4) It facilitates good classroom communication that helps in understanding the concepts easily.

5) Teachers can pay equal attention to every student in the class.

6) Extra-curricular activities in offline mode help in the overall development of students.

7) Offline mode of study requires physical presence at a fixed time.

8) Students get less time for self-study due to time wastage in traveling for school and coaching.

9) The class schedule for every day is fixed with no flexibility.

10) Longer schedules of classes are sometimes much boring to attend.

1) The offline study is the best mode in enhancing the concentration level of students.

2) Teachers can easily judge the performance of every student in the classroom.

3) Doubts and questions can be cleared easily in the offline mode of studies.

4) In this mode of study, we get facilitated with manual books and written notes.

5) Homework is best about this mode of study that helps in developing peer pressure.

6) Offline mode of study is difficult to opt for the employed people.

7) Transportation charges are additional expenses for going to attend school and college daily.

8) It is expensive to manage and bear the cost of offline studies.

9) The lectures given during the classes cannot be repeated whenever required.

10) We suffer great loss in studies if we could not attend the classes due to any unavoidable cause.

Sunday, April 9, 2023

NCERT SOLUTION FOR SCIENCE 9TH STANDARD. CHAPTER 1: Matter in Our Surroundings.

NCERT SOLUTION FOR SCIENCE 9TH STANDARD. 

CHAPTER 1: Matter in Our Surroundings. 

Which of the following are matter?

Chair, air, love, smell, hate, almonds, thought, cold, cold drink, smell of perfume.

Solution

Anything that occupies space and has mass is called matter. Matter can exist in three physical states—solid, liquid, and gaseous.

Chair and almond are forms of matter in the solid state.

Cold drink is a liquid state of matter.

Air is a gaseous state of matter.

Notes

Note: The sense of smell is not matter. However, the smell or odour of a substance is classified as matter. The smell of any substance (say, perfume) can be classified as matter. This is because, perfume is in liquid state inside the bottle. It comes out in the form of tiny droplets. These droplets of perfume are matter and spread out in the atmosphere to create a sense of smell. This smell can be detected by our olfactory system.


Give reasons for the following observation:

The smell of hot sizzling food reaches you several metres away, but to get the smell from cold food you have to go close.

Solution

Solids diffuse at a very slow rate. But, if the temperature of the solid is increased, then the rate of diffusion of the solid particles into air increases. This is due to an increase in the kinetic energy of solid particles. Hence, the smell of hot sizzling food reaches us even at a distance, but to get the smell from cold food we have to go close.


A diver is able to cut through water in a swimming pool. Which property of matter does this observation show?

Solution

The ability of a diver to cut through water in a swimming pool shows that the particles of matter have intermolecular spaces. The intermolecular spaces in liquids is fair enough to let the diver pass through it.


What are the characteristics of particles of matter?

Solution

The characteristics of particles of matter are:-

(i) Particles of matter have spaces between them.

(ii) Particles of matter are continuously moving.

(iii) Particles of mater attract each other.


The mass per unit volume of a substance is called density (density = mass/volume). Arrange the following in order of increasing density − air, exhaust from chimney, honey, water, chalk, cotton, and iron.

Solution

The given substances in the increasing order of their densities can be represented as:

Air < Exhaust from chimney < Cotton < Water < Honey < Chalk < Iron


Tabulate the differences in the characteristics of states of matter.

Solution

Sr. No

Solid state

Liquid state

Gaseous state

1.

Definite shape and volume.

No definite shape. Liquids attain the shape of the vessel in which they are kept.

Gases have neither a definite shape nor a definite volume.

2.

Incompressible

Compressible to a small extent.

Highly compressible

3.

There is little space between the particles of a solid.

These particles have a greater space between them.

The space between gas particles is the greatest.

4.

These particles attract each other very strongly.

The force of attraction between liquid particles is less than solid particles.

The force of attraction is least between gaseous particles.

5.

Particles of solid cannot move freely.

These particles move freely.

Gaseous particles are in a continuous, random motion.


Comment upon the following:-

Rigidity

Solution

The rigidity can be expressed as the tendency of matter to resist a change in shape.


Compressibility

Solution

Compressibility is the ability to be reduced to a lower volume when force is applied.


Fluidity


Solution


Fluidity is the ability to flow.


Filling a gas container

Solution

By filling a gas container we mean the attainment of the shape of the container by gas.


Shape

Solution

The shape defines a definite boundary.


Kinetic energy


Solution


Kinetic energy is the energy possessed by a particle due to its motion.



Density


Solution


Density is mass per unit volume.

Comment upon the following:- rigidity, compressibility, fluidity, filling a gas container, shape, kinetic energy, and density.

Solution

Rigidity can be expressed as the tendency of matter to resist a change in shape.

Compressibility is the ability to be reduced to a lower volume when force is applied.

Fluidity is the ability to flow.

By filling a gas container we mean the attainment of shape of the container by gas.

Shape defines a definite boundary.

Kinetic energy is the energy possessed by a particle due to its motion.

Density is mass per unit volume.


Give reasons:- A gas fills completely the vessel in which it is kept.

Solution 1

There is little attraction between particles of gas. Thus, gas particles movefreely in all directions. Therefore, gas completely fills the vessel in which it is kept.

Solution 2

The molecules of gas have high kinetic energy due to which they keep moving in all directions and hence fill the vessel completely in which they are kept.

A gas exerts pressure on the walls of the container.


Solution 1


Particles of gas move randomly in all directions at high speed. As a result, theparticles hit each other and also hit the walls of the container with a force. Therefore, gas exerts pressure on the walls of the container.


Solution 2


A gas exerts pressure on the walls of the container because the molecules of the gas are in constant random motion due to high kinetic energy. These molecules constantly vibrate, move and hit the walls of the container thereby exerting pressure on it.


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