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NCERT Solutions for Class 9 Science Chapter 11 Work and Energy

NCERT Solutions for Class 9 Science Chapter 11 Work and Energy

Edited By Vishal kumar | Updated on Sep 18, 2023 04:44 PM IST

NCERT Solutions Class 9 Science Chapter 11 – CBSE Free PDF Download

NCERT Solutions for Class 9 Science Chapter 11 Work and Energy: If you are a Class 9 student seeking NCERT solutions for work and energy class 9, you have come to the right place. On this page, you will find the complete NCERT solutions for this chapter, available to you free of cost. The experts at Careers360 have meticulously created these solutions in a step-by-step and easy-to-understand language. This CBSE NCERT solutions for Class 9 Science chapter 11 Work and Energy covers all the exercise questions, including additional exercises, with proper diagrams to aid comprehension. In addition to Science, you can also access NCERT Solutions for Class 9 Maths, which will further enhance your clarity in solving questions.

These class 9 chapter 11 science will give you a better understanding of concepts present in this chapter through various real-life examples, such as, when a person is holding a bucket of water for ten minutes, we can say, he is physically doing work but according to Physics he is not doing work because bucket has no displacement. work and energy class 9 pdf will clear your concept of work in Physics with a condition to say that a work has been done by a force. The solutions will provide you with an overview of the complete chapter and NCERT solutions can help you walk through other chapters and other subjects also if you wish to study.

The work and energy class 9 questions and answers are prepared with the latest NCERT syllabus. These resources can be downloaded in PDF format, allowing students to access them at their convenience. Class 9 science chapter 11 question answer is particularly helpful for students who prefer to study offline or want to print out the material for future reference.

Also read,

This chapter has been renumbered as Chapter 10 in accordance with the CBSE Syllabus 2023–24.

NCERT Solutions for Class 9 Science Chapter 11: Work and Energy

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NCERT Solutions for Class 9 Science Chapter 11 Work and Energy: Solved In-text Questions-

NCERT Solutions for Class 9 Science Chapter 11 Work and Energy

Topic11.1.3 Work done by a constant force

Q1 . When do we say that work is done?

Answer:

The work is done when an applied force causes some displacement. Further, if the direction of the displacement is in the direction of the force then work done by that force is positive and if the displacement is in the opposite direction then the work done is negative.

Q2. Write an expression for the work done when a force is acting on an object in the direction of its displacement.

Answer:

The force is acting in the direction of displacement so the work done by the force is positive.

The work done is given by :

W\ =\ F.s ( Here s is the displacement.)

Q3. Define 1\; J of work.

Answer:

1 J of work is defined as the 1 m displacement of a body due to the 1 N of force.

W\ =\ F.s\ =\ 1\times 1\ =\ 1J

Class 9 Science Chapter 11 Work and Energy Question Answer: Topic 11.2 Energy

Q1. What is the kinetic energy of an object?

Answer:

The energy of a particle which is due to its motion is the kinetic energy.

It is given by :

K.E.\ =\ \frac{1}{2}mv^2

Here, m is the mass of the particle and v is the velocity.

Q2. Write an expression for the kinetic energy of an object.

Answer:

The kinetic energy of a body is given by :

K.E\ =\ \frac{1}{2}mv^2

Here m is the mass of the body and v is the velocity.

Q3 . The kinetic energy of an object of mass, m moving with a velocity of 5 \; m\; s ^{-1} is 25\; J . What will be its kinetic energy when its velocity is doubled?

What will be its kinetic energy when its velocity is increased three times?

Answer:

Using the formula for the kinetic energy we have :

K.E\ =\ \frac{1}{2}mv^2

or 25\ =\ \frac{1}{2}m\times 5^2

or m\ =\ 2\ Kg

(i) Kinetic energy when velocity is doubled :

K.E\ =\ \frac{1}{2}mv^2

=\ \frac{1}{2}\times2 \times 10^2

=\ 100\ J

(ii) Kinetic energy when velocity is tripled :

K.E\ =\ \frac{1}{2}mv^2

=\ \frac{1}{2}\times 2\times 15^2

=\ 225\ J



Class 9 Science Chapter 11 Exercise Question Answer: Topic 11.3 (Rate of doing work)

Q1. What is power?

Answer:

Power is defined as the rate of doing work. Mathematically, it is given by :

P\ =\ \frac{W}{t}

The SI unit of power is a watt.

Q2. Define 1 Watt of power.

Answer:

1 Watt of power is defined as the 1 joule of work is done in 1 sec.

P\ =\ \frac{1\ J}{1\ sec}\ =\ 1\ Watt


Q3. A lamp consumes 1000 J of electrical energy in 10 s . What is its power?

Answer:

The power is given by :

P\ =\ \frac{W}{t}

=\ \frac{1000}{10}\ =\ 100\ watt

Thus power is 100 watt.

Q4. Define average power.

Answer:

Average power is defined as the total work done in a particular time period divided by the time period.

P_{avg}\ =\ \frac{W_{total}}{T}

Work and Energy Class 9 NCERT: Solved Exercise Questions

Q1. Look at the activities listed below. Reason out whether or not work is done in the light of your understanding of the term ‘work’.

• Suma is swimming in a pond.

• A donkey is carrying a load on its back.

• A wind-mill is lifting water from a well.

• A green plant is carrying out photosynthesis.

• An engine is pulling a train.

• Food grains are getting dried in the sun.

• A sailboat is moving due to wind energy

Answer:

(i) Work done by Suma is negative as the force and displacement are in the opposite direction.

(ii) Work done is zero as the gravity on the load is acting vertically downward whereas its displacement is in a horizontal direction.

(iii) Work done is positive as both force and displacement are in an upward direction.

(iv) Work done is zero as there is no displacement involved.

(v) Work done is positive as force is acting in the direction of the motion.

(vi) Work done is zero as there is no displacement of the grains.

(vii) Work done by wind force is positive as it supports the motion of the boat.


Q2. An object thrown at a certain angle to the ground moves in a curved path and falls back to the ground. The initial and the final points of the path of the object lie on the same horizontal line. What is the work done by the force of gravity on the object?

Answer:

We can see that there is no net displacement in the vertical direction. It has only horizontal displacement. Thus work done by vertical forces on the stone will be zero.

The force of gravity is acting vertically downward, thus the work done by it is zero.

Q3. A battery lights a bulb. Describe the energy changes involved in the process.

Answer:

The chemical energy stored in a battery is transformed into the heat energy which glows the filament of the bulb. Further, the heat energy is converted into light energy.

Q4. Certain force acting on a 20 \; kg mass changes its velocity from 5\; m\; s ^{-1} to 2\; m\; s ^{-1} . Calculate the work done by the force.

Answer:

By the equations of motion, we can write :

v^2\ =\ u^2\ +\ 2as

s\ =\ \frac{v^2\ -\ u^2}{2a}

=\ \frac{2^2\ -\ 5^2}{2a}\ =\ \frac{-21}{2a}\ m

And the work done is :

W\ =\ F.s

=\ 20a\times \frac{-21}{2a}

=\ -210\ J

Thus work done is - 210 J.

Q5. A mass of 10 kg is at a point A on a table. It is moved to a point B . If the line joining A and B is horizontal,what is the work done on the object by the gravitational force? Explain your answer

Answer:

The displacement of the object is horizontally on the table. We know that the gravitational force is acting in a downward direction. There is no displacement vertically.

Thus the work done by the gravitational force is zero.


Q 6. The potential energy of a freely falling object decreases progressively. Does this violate the law of conservation of energy? Why?

Answer:

No, there is no violation of the law of conservation of energy. At the maximum height, the energy is in the form of potential energy. When the object is reaching the ground, its potential energy is decreasing whereas its kinetic energy is increasing (as the velocity of the object is increasing). Thus there is no loss of total energy (energy transformation may take place ).

Q 7. What are the various energy transformations that occur when you are riding a bicycle?

Answer:

The muscular energy of a person is transformed in the form of mechanical energy which helps to rotate the wheel of bicycles.

Q8. Does the transfer of energy take place when you push a huge rock with all your might and fail to move it? Where is the energy you spend going?

Answer:

Since the rock doesn't move thus net displacement is zero. As a result, the work done by the force is zero.

The energy which we apply on the rock gets transformed in the form of heat.

Q9. A certain household has consumed 250 units of energy during a month. How much energy is this in joules?

Answer:

We know that 1 unit of energy is given by : 1 unit = 1 KWh.

Also, 1\ KWh\ =\ 3.6\times 10^6\ J

Thus 250 units in joule is given by :

E\ =\ 250\times 3.6\times 10^6\ =\ 9\times 10^8\ J


Q 10. An object of mass 40 kg is raised to a height of 5 m above the ground. What is its potential energy? If the object is allowed to fall, find its kinetic energy when it is half-way down.

Answer:

The potential energy of an object of mass m and at the height at h is given as = mgh

The potential energy of the given object is :

P.E.\ =\ mgh\ =\ 40\times 10\times 5\ =\ 2000\ J

The potential energy is being converted into the K.E..

Thus at half-way kinetic energy of the object is :

K.E.\ =\ \frac{P.E.}{2}\ =\ \frac{2000}{2}\ =\ 1000\ J


Q11. What is the work done by the force of gravity on a satellite moving round the earth? Justify your answer.

Answer:

The work done by the gravitational force is zero. This is because the satellite is moving in a circular orbit. Thus the direction of displacement of the satellite is perpendicular to the force of gravity. Hence work done is zero.

Q12. Can there be displacement of an object in the absence of any force acting on it? Think. Discuss this question with your friends and teacher.

Answer:

This depends on the initial state of the object. If the object is in motion initially, then it will continue to be in this state as no external force is acting. But if the object is at rest initially then the object can't move without external force.

Q13. A person holds a bundle of hay over his head for 30 minutes and gets tired. Has he done some work or not? Justify your answer.

Answer:

Since there was no displacement thus the work done by man is zero . This work should not be considered relatable to the term 'work' we use in daily life.

Due to upholding the weight against gravity led the man to get tired.

Q14. An electric heater is rated 1500 W. How much energy does it use in 10 hours?

Answer:

The relation between energy and power is given by :

Energy = Power \times Time

Thus the energy used in 10 hours is :

E\ =\ 1500\times 10\ =\ 15000\ Wh\ =\ 15\ KWh

Hence the energy used by the heater is 15 KWh.

Q15. Illustrate the law of conservation of energy by discussing the energy changes which occur when we draw a pendulum bob to one side and allow it to oscillate. Why does the bob eventually come to rest? What happens to its energy eventually? Is it a violation of the law of conservation of energy?

Answer :

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In the above figure, point B is the mean position about which the bob rotates.

When the bob is released from point C, it attains some velocity while moving down (up to B) and deaccelerated and stops at point A.

Thus point A and point C are the maximum height points. And the velocity of the bob at point B will be maximum.

The total energy at point A and point C is only the potential energy as its velocity at these points is zero. And at point B as the height of bob is zero thus the total energy is just the kinetic energy.

Thus in this manner, the conservation of energy takes place (by transforming in some other form.).

The eventually comes to rest due to the air resistance. It deacceleration the motion of bob. (as it is a frictional force.)

There is no violation of the energy conservation law as some amount of energy is converted in the form of heat.

Q. 16. An object of mass, m is moving with a constant velocity, v . How much work should be done on the object in order to bring the object to rest?

Answer:

At this moment the energy of the object is :

K.E.\ =\ \frac{1}{2}mv^2

Thus in bringing the object to rest the work needed is : =\ K.E.

W\ =\ \frac{1}{2}mv^2\ J

Q17. Calculate the work required to be done to stop a car of 1500 kg moving at a velocity of 60 km/h?

Answer:

Firstly convert the velocity in SI unit.

v\ =\ 60\times \frac{5}{18}\ =\ \frac{50}{3}\ m/s

Thus the work done to stop the car is equal to the kinetic energy of the car.

W\ =\ \frac{1}{2}mv^2\ =\ \frac{1}{2}\times 1500\times \left ( \frac{50}{3} \right )^2

=\ 208333.33\ J\ or\ 208.33\ KJ

Q18. In each of the following a force, F is acting on an object of mass, m . The direction of displacement is from west to east shown by the longer arrow.

  • Observe the diagrams carefully and state whether the work done by the force is negative, positive or zero.

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Answer:

(i) In first case, the force acting on the object is perpendicular to the displacement of the body. Thus the work done by the force is zero.

(ii) In this, the force is in direction of the displacement so the work done is positive.

(iii) In this case, the direction of force and displacement are opposite to each other. Thus the work done by the force is negative.

Q19. Soni says that the acceleration in an object could be zero even when several forces are acting on it. Do you agree with her? Why?

Answer:

Yes. If all the external forces acting on the body balances each other then the net force acting on the object is zero. Thus the acceleration produced is zero even if forces are acting on the body. The necessary condition for the zero acceleration is that the net force acting on the body should be zero.

Q 20. Find the energy in k W h consumed in 10 hours by four devices of power 500 W each.

Answer:

The energy consumed by 1 device is given by :

E\ =\ 500\times 10\ =\ 5000\ Wh

Thus the energy consumed by 4 devices is =\ 4\times 5000\ =\ 20\ KWh


Q21. A freely falling object eventually stops on reaching the ground. What happens to its kinetic energy?

Answer:

When an object is falling from a height, there is an increase in the kinetic energy of the object. Thus just before hitting the ground the kinetic energy of the object is very high. But after hitting the ground its velocity comes to zero and thus the kinetic energy becomes zero. The kinetic energy is transformed into other forms of energy such as heat, sound or some deformation on the ground.

The solutions for chapter 11 class 9 science are provided topic by topic, beginning with work and continuing with subtopics such as work done by a constant force and energy. In addition to these topics, solved exercise questions are also included, which can provide greater clarity for students.

Furthermore, the class 9 ncert science chapter 11 solutions include important formulas, diagrams, and examples to help students apply their knowledge in problem-solving. The work energy and power class 9 solution are presented in a concise and easy-to-understand manner, making them an invaluable resource for students preparing for their class 9 science exams.

NCERT Solutions for Class 9 Science- Chapter Wise

Chapter No.
Chapter Name
Chapter 1
Matter in Our Surroundings
Chapter 2
Is Matter Around Us Pure
Chapter 3
Atoms and Molecules
Chapter 4
Structure of The Atom
Chapter 5
The Fundamental Unit of Life
Chapter 6
Tissues
Chapter 7
Diversity in Living Organisms
Chapter 8
Motion
Chapter 9
Force and Laws of Motion
Chapter 10
Gravitation
Chapter 11
Work and Energy
Chapter 12
Sound
Chapter 13
Why Do We Fall ill?
Chapter 14
Natural Resources
Chapter 15
Improvement in Food Resources

NCERT Solutions for Class 9 Science: Important Formulas and Diagrams + eBook link

Formulas are essential in any chapter of a subject. They provide simple mathematical representations of concepts and relationships, making the fundamental concepts easier to understand and implement. Formulas help in solving ncert class 9 science chapter 11 exercise solutions and calculating accuracy and efficiency. Important formulas for this chapter are listed below which will help to solve work and energy class 9 numericals.

  • Work (W) = Force (F) × Displacement (S) × Cosθ [SI unit work= Joule(J)]

  • Kinetic Energy (K.E) =1/2*m*v2 [SI unit of K.E= Joule(J)]

  • Potential Energy (P.E) = m*g*h [SI unit of P.E= Joule(J)]

  • P=\frac{W}{t}

  • Total Mechanical Energy (TME) = Kinetic Energy (K.E) + Potential Energy (P.E)

These are some of the important formulas for work and energy class 9 chapter 11. Student can also download PDF of chapter important formula of class 9 by clicking on the below link.

Download Ebook - NCERT Class 9 Science: Chapterwise Important Formulas, Diagrams, And Point

NCERT Solutions for Class 9 Science Chapter 11 Work and Energy - Important Topics

  • Work: The concept of work involves the application of force to cause the displacement of an object in the direction of the applied force.
  • Energy: Energy is the ability to perform tasks. It comes in several forms, including kinetic energy (motion energy), potential energy (energy held in an object due to its position or condition), and thermal energy (energy linked with an object's temperature).
  • Power: Power is the rate at which work is done or energy is transferred. It is measured in watts (W) and represents the amount of work done or energy transferred per unit of time.
  • Mechanical energy: Mechanical energy is the sum of an object's kinetic energy and potential energy. It is associated with the motion and position of an object.
  • Conservation of energy: The principle of the conservation of energy states that energy cannot be created or destroyed but can only be converted from one form to another. In any energy transformation or transfer, the total amount of energy remains constant.
  • Applications of work, energy, and power: The concepts of work, energy, and power have various applications in daily life. They are essential in understanding the functioning of machines, the efficiency of engines, and the analysis of sports activities.

These topics provide the basis for understanding the principles of work and energy and their application in various circumstances, opening the way for further study of physics and related fields.

Class 9 Science Chapter 11 Work and Energy Topics

Topics for ncert class 9 science chapter 11 question answer are given below:

11.1 Work

11.1.2 Scientific Conception Of Work

11.1.3 Work Done By A Constant Force

11.2 Energy

11.2.1 Forms Of Energy

11.2.4 Potential Energy Of An Object At A Height

11.2.5 Are Various Energy Forms Interconvertible?

11.2.6 Law Of Conservation Of Energy

11.3 Rate Of Doing Work

11.3.1 Commercial Unit Of Energy

Work And Energy Class 9 NCERT Chapter 11 Highlights

When work is said to be done?

Work is said to be done when a force is applied and due to the force, the objects have a displacement.

If F is the constant force acting on the object and S is the displacement then work W= FS. The unit of work is Joule and 1 Joule= 1N m.

An important topic of NCERT Solutions for Class 9 Science Chapter 11 is :

Also Read -

Energy: Energy is the capability of doing work. The unit of energy is the same as that of energy.

Kinetic Energy: The kinetic energy of an object moving with a certain velocity is the work done on the object to acquire that velocity. Suppose initial velocity of an object is u, by applying a constant force we changed the velocity to v. Let the acceleration due to force be a and S be the displacement then work done.

\\W=FS\\s=\frac{v^2-u^2}{2a}\\W=mas\\W=ma\frac{v^2-u^2}{2a}\\W=\frac{1}{2}m(v^2-u^2)

This work done is known as kinetic energy

If the body starts from rest then u=0 then the kinetic energy =\frac{1}{2}mv^2

Potential Energy: Potential energy of an object is the energy possessed by an object due to its position. The gravitational potential energy of an object at a point above the ground is defined as the work done in raising it from the ground to that point against gravity. Suppose the mass of the object raised is m and the height to which the object is raised is h then,

Potential Energy = mgh

One of the main topics of NCERT syllabus Class 9 Science Chapter 11 Work and Energy is given below:

Work-Energy Theorem: When energy gets transformed total energy gets conserved. That is energy can neither be created nor be destroyed. For example, When we open a tape the potential energy stored in the water tank at height is converted to the kinetic energy of the water. When an electric fan is working electrical energy is converted to mechanical energy and certain energy are lost in the form of heat.

Power: The rate of doing work is Power. Power measures the speed of work done, that is, how fast or slow work is done. If an agent does a work W for time t, then power

P=\frac{W}{t}

The unit of power is watt.

Commercially electric bills are calculated in terms of unit and 1 unit= 1Kilo Watt-hour

1KWH=1\times1000W\times60\times60sec=3.6\times10^6\ joule

That is if equipment with power rating 1 KW is operated for 1 hour then it consumes 1 unit of energy.

Key Features of NCERT Solutions for Class 9 Science Chapter 11: Work and Energy

Detailed Explanations: The class 9 science chapter 11 question answer provide comprehensive and detailed explanations for all complex topics covered in the chapter. This helps students understand the concepts clearly and grasp the underlying principles.

Complete Solutions: The ncert class 9 science chapter 11 exercise solutions provide complete answers to all of the questions in the Class 9 Science NCERT textbook. This ensures that students understand the solutions and can verify their own answers.

Important Questions: The work and energy class 9 questions and answers include important questions at the end of every chapter. These questions are carefully selected to test the student's understanding and provide them with practice opportunities.

Easy Language: The language used in ncert class 9 science chapter 11 question answer is designed to be easy and simple for students to understand. This helps in the effective communication of concepts and reduces confusion.

Prepared by Subject Experts: The NCERT Solutions for Class 9 Science are prepared by the experienced faculty as per the CBSE guidelines who have conducted extensive research on every topic. This ensures that the class 9 science chapter 11 work and energy question answer provide accurate and reliable information to students.

Also Check NCERT Books and NCERT Syllabus here:

NCERT Solutions for Class 9 - Subject Wise

NCERT Science Exemplar Solutions Class 9 - Chapter Wise


Frequently Asked Question (FAQs)

1. What are the main topics to be covered to understand the Work And Energy Class 9 Science chapter 11 NCERT solutions?

The main topics covered in the NCERT syllabus of Class 9  chapter 11 are work, calculation of work, unit of work, energy, unit of energy,  kinetic energy, potential energy, work energy theorem, concept of conservation of energy, power and commercial unit of energy

2. Is the chapter helpful for exams like NSEJS?

Yes, definitely. Almost every year there are questions from the class 9 chapters of NCERT. More than one question can be expected from the chapter Work And Energy for NSEJS. In the some of the previous year papers more than one questions were asked.

3. Whay should I solve Work And Energy Class 9 NCERT Science Chapter 11 questions?

Solving the NCERT questions will give knowledge of how to apply the concepts studied to solve a numerical question and will give conceptual clarity. To solve more problems refer to NCERT Exemplar questions for Class 9 chapter 11 Work And Energy.

4. Are NCERT Solutions for Class 9 Science Chapter 11 free?

 Yes, NCERT Solutions for Class 9 Science Chapter 11, Work and Energy, can be accessed and downloaded for free by visiting the link: NCERT Solutions for Class 9 Science Chapter 11 Work and Energy. These solutions provide comprehensive explanations and examples that can help students understand the concepts and prepare for their exams.

5. Are NCERT Solutions for Class 9 Science Chapter 11 sufficient for exam preparation?

While NCERT Solutions for Class 9 Science Chapter 11 are a good resource for exam preparation, it is recommended that students also practice solving other reference books and previous year's question papers to get a better understanding of the concepts and exam patterns.

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A block of mass 0.50 kg is moving with a speed of 2.00 ms-1 on a smooth surface. It strikes another mass of 1.00 kg and then they move together as a single body. The energy loss during the collision is

Option 1)

0.34\; J

Option 2)

0.16\; J

Option 3)

1.00\; J

Option 4)

0.67\; J

A person trying to lose weight by burning fat lifts a mass of 10 kg upto a height of 1 m 1000 times.  Assume that the potential energy lost each time he lowers the mass is dissipated.  How much fat will he use up considering the work done only when the weight is lifted up ?  Fat supplies 3.8×107 J of energy per kg which is converted to mechanical energy with a 20% efficiency rate.  Take g = 9.8 ms−2 :

Option 1)

2.45×10−3 kg

Option 2)

 6.45×10−3 kg

Option 3)

 9.89×10−3 kg

Option 4)

12.89×10−3 kg

 

An athlete in the olympic games covers a distance of 100 m in 10 s. His kinetic energy can be estimated to be in the range

Option 1)

2,000 \; J - 5,000\; J

Option 2)

200 \, \, J - 500 \, \, J

Option 3)

2\times 10^{5}J-3\times 10^{5}J

Option 4)

20,000 \, \, J - 50,000 \, \, J

A particle is projected at 600   to the horizontal with a kinetic energy K. The kinetic energy at the highest point

Option 1)

K/2\,

Option 2)

\; K\;

Option 3)

zero\;

Option 4)

K/4

In the reaction,

2Al_{(s)}+6HCL_{(aq)}\rightarrow 2Al^{3+}\, _{(aq)}+6Cl^{-}\, _{(aq)}+3H_{2(g)}

Option 1)

11.2\, L\, H_{2(g)}  at STP  is produced for every mole HCL_{(aq)}  consumed

Option 2)

6L\, HCl_{(aq)}  is consumed for ever 3L\, H_{2(g)}      produced

Option 3)

33.6 L\, H_{2(g)} is produced regardless of temperature and pressure for every mole Al that reacts

Option 4)

67.2\, L\, H_{2(g)} at STP is produced for every mole Al that reacts .

How many moles of magnesium phosphate, Mg_{3}(PO_{4})_{2} will contain 0.25 mole of oxygen atoms?

Option 1)

0.02

Option 2)

3.125 × 10-2

Option 3)

1.25 × 10-2

Option 4)

2.5 × 10-2

If we consider that 1/6, in place of 1/12, mass of carbon atom is taken to be the relative atomic mass unit, the mass of one mole of a substance will

Option 1)

decrease twice

Option 2)

increase two fold

Option 3)

remain unchanged

Option 4)

be a function of the molecular mass of the substance.

With increase of temperature, which of these changes?

Option 1)

Molality

Option 2)

Weight fraction of solute

Option 3)

Fraction of solute present in water

Option 4)

Mole fraction.

Number of atoms in 558.5 gram Fe (at. wt.of Fe = 55.85 g mol-1) is

Option 1)

twice that in 60 g carbon

Option 2)

6.023 × 1022

Option 3)

half that in 8 g He

Option 4)

558.5 × 6.023 × 1023

A pulley of radius 2 m is rotated about its axis by a force F = (20t - 5t2) newton (where t is measured in seconds) applied tangentially. If the moment of inertia of the pulley about its axis of rotation is 10 kg m2 , the number of rotations made by the pulley before its direction of motion if reversed, is

Option 1)

less than 3

Option 2)

more than 3 but less than 6

Option 3)

more than 6 but less than 9

Option 4)

more than 9

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