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NCERT Exemplar Class 9 Science Solutions Chapter 11 Work and Energy

NCERT Exemplar Class 9 Science Solutions Chapter 11 Work and Energy

Edited By Vishal kumar | Updated on Apr 12, 2025 12:25 AM IST

Consider this, riding a bicycle uphill, carrying your school encapsulated in a bag, and even running a race; every one of these actions involves work and energy. Now, whether you are moving an object or accelerating, all these day-to-day activities relate to concepts explained in Chapter 11 – Work, Energy, and Power from the Class 9 Science NCERT Exemplar.

This Story also Contains
  1. NCERT Exemplar Class 9 Science Solutions Chapter 11-MCQ
  2. Question:1
  3. NCERT Exemplar Class 9 Science Solutions Chapter 11-Short Answer
  4. NCERT Exemplar Class 9 Science Solutions Chapter 11-Long Answer
  5. NCERT Exemplar Solutions Class 9 Science Chapter 11 Important Topics:
  6. NCERT Class 9 Science Exemplar Solutions for Other Chapters:
  7. Features of NCERT Exemplar Class 9 Science Solutions Chapter 11
NCERT Exemplar Class 9 Science Solutions Chapter 11 Work and Energy
NCERT Exemplar Class 9 Science Solutions Chapter 11 Work and Energy

The NCERT exemplar solutions for this chapter has been crafted with utmost precision by professionals in the field. They intend to facilitate learning by offering comprehensive, methodical answers to every single problem. Every answer is provided in a systematic manner which enables students to deepen their understanding of the basics.

Background wave

Moreover, these Class 9 Science NCERT Exemplar Solutions are highly reliable and accurate in accordance with the current syllabus of CBSE Class 9 Science. They prepare the students well for the examinations while providing an in-depth understanding of the concepts.

NCERT Exemplar Class 9 Science Solutions Chapter 11-MCQ

Question:1

When a body falls freely towards the earth, then its total energy
(a) increases
(b) decreases
(c) remains constant
(d) first increases and then decreases

Answer: [C]
Solution.

The total energy of any body is the sum of kinetic energy and potential energy.
TE=KE+PE
When a body falls freely towards the earth; kinetic energy of the body increases and potential energy of the body decreases.
However, by the law of conservation of energy total energy of the body remain constant.
The correct answer to this question is option C.

Question:2

A car is accelerated on a levelled road and attains a velocity 4 times of its initial velocity. In this process the potential energy of the car
(a) does not change
(b) becomes twice to that of initial
(c) becomes 4 times that of initial
(d) becomes 16 times that of initial

Answer: [A]

Solution.
The kinetic energy of a body increases on increasing speed.
KE=12mv2
The potential energy of the body increases by increasing height from the surface of earth.
PE=mgh
In the given question, the car is increasing speed on the level road. Hence, its kinetic energy must be increasing.
The kinetic energy will be 16 times of the initial kinetic energy as velocity becomes four times.
The car's height from the ground is not changing as it is moving on a level road.
Therefore, we can say that the potential energy of the car is not changing.
Hence, the correct answer to this question is option A.

Question:3

In case of negative work the angle between the force and displacement is
(a) 0 (b) 45 (c) 90 (d ) 180

Answer: [D]
Solution.
Work done by any force is defined as:
W=Fdcosθ
This work done can be positive, negative or zero depending on the angle between force and displacement.
If the angle between them is acute, then work done will be positive because cosθ will be positive.
If the angle between them is 90, then the work done will be zero.
If the angle between them is obtuse, then the work done will be negative.
W=Fd(cos180)=Fd
Hence, the correct answer is option D.

Question:4

An iron sphere of mass 10 kg has the same diameter as an aluminium sphere of mass is 3.5 kg. Both spheres are dropped simultaneously from a tower. When they are 10 m above the ground, they have the same
(a) acceleration
(b) momenta
(c) potential energy
(d) Kinetic energy

Answer: [A]
Solution.

When a body falls under gravity, the body’s acceleration does not depend on mass of the body.
Therefore, acceleration for both the spheres will be same at that instant.
Their velocities will be the same at that instant too.
v=u+at
Momentum and kinetic energy depend on speed as well as mass.
KE=12mv2
P=mv
As mass of both the spheres is different; however, speed is the same; hence their momentum and kinetic energy will be different.
Gravitational potential energy is defined as:
PE=mgh
Therefore, it would be different for both the spheres of different mass at same the height.
Hence, the correct answer is option A.

Question:5

A girl is carrying a school bag of 3 kg mass on her back and moves 200 m on a levelled road. The work done against the gravitational force will be (g=10ms2)
(a) 6×103J
(b) 6J
(c) 0.6J
(d) zero

Answer: [D]
Solution.
We know that work is defined as:
W=Fdcosθ
As the girl is carrying a schoolbag of 3 kg, the girl must be applying force in vertically upward direction against gravity.
The displacement of the girl is in the horizontal direction, as it is moving on a level road.
The angle between force and displacement is 90.
Therefore, by the formula, work done by the girl against gravity will be zero.
W=Fdcos90=0
Hence, the correct answer for this question is option D.

Question:6

Which one of the following is not the unit of energy?
(a) joule
(b) newton metre
(c) kilowatt
(d) kilowatt hour

Answer: [C]
Solution.
We know that work done and energy have same unit.
The SI unit of energy is Joule.
Work done is defined as product of force and displacement; therefore, its unit will be newton meter.
W=Fdcosθ
Power is defined as work done per unit time, and its unit will be watt or kilowatt.
If we multiply power with time, we will get energy or work done.
Therefore, kilowatt-hour will be the unit of energy.
[Only kilowatt is the unit of power, and that is not unit of energy.]
Correct answer of this question is option C.

Question:7

The work done on an object does not depend upon the
(a) displacement
(b) force applied
(c) angle between force and displacement
(d) initial velocity of the object

Answer: [D]
Solution.
We know that the work done is defined as:
W=Fdcosθ
It means work done depends on force, displacement and angle between force and displacement.
Work done does not depend on any other property other than the three mentioned above.
Therefore, we can say work done does not depend on the initial velocity of the object.
Hence the correct option to this question is option D.

Question:8

Water stored in a dam possesses
(a) no energy
(b) electrical energy
(c) kinetic energy
(d) potential energy

Answer:

Answer: [D]
Solution.
Water stored in a dam remains at rest.
The kinetic energy of the water stored will be zero as its speed is zero.
KE=12mv2
Electrical energy is not possessed by stored water.
The water has mass, and it occupies the space above the surface of ground.
Therefore, the water will have gravitational potential energy.
PE=mgh
Hence, the correct answer to this question is option D.

Question:9

A body is falling from a height h. After it has fallen a height h/2, it will possess
(a) only potential energy
(b) only kinetic energy
(c) half potential and half kinetic energy
(d) more kinetic and less potential energy

Answer:

Answer: [C]
Solution.
When a body is dropped from a height, it gets acceleration due to gravity.
Acceleration increases its speed; hence its kinetic energy keeps on increasing.
KE=12mv2
The ball is dropped from height H, and we are analyzing the ball at height H/2.
The total energy of the ball will not change in free fall under gravity.
As the height becomes half of the initial height, the potential energy will become half.
PE=mgh
This decrease in potential energy, will come in the form of kinetic energy because total energy is conserved.
TE=PE+KE
Therefore, kinetic energy of the ball will be half of initial potential energy.
Hence, the correct answer to this question is option C.

NCERT Exemplar Class 9 Science Solutions Chapter 11-Short Answer

Question:10

A rocket is moving up with a velocity v. If the velocity of this rocket is suddenly tripled, what will be the ratio of two kinetic energies?

Answer:

Solution.
We know that kinetic energy is defined as:
KE=12mv2
We can see that the kinetic energy will be proportional to the square of speed for a given body of constant mass.
As the rocket's speed is suddenly tripled, the rocket's kinetic energy will be nine times.
KE=12mv2
KEiKEf=Vi2Vf2

Question:11

Avinash can run with a speed of 8ms1 against the frictional force of 10 N, and Kapil can move with a speed of 3ms1 against the frictional force of 25 N. Who is more powerful and why?

Answer:

Solution.
Power of anything is defined as the rate of work done by that thing.
Mathematically, power is defined as product of force and velocity.
Power =Fv
If we calculate the power of Avinash and Kapil, by the given information:
PowerAvinash=10×8=80watt
PowerKapil=25×3=75watt
Therefore, it is quite visible that power of Avinash is more than the power of Kapil.

Question:12

A boy is moving on a straight road against a frictional force of 5 N. After travelling a distance of 1.5 km he forgot the correct path at a round-about of radius 100 m. However, he moves on the circular path for one and half cycle and then he moves forward upto2.0km. Calculate the work done by him.

Answer:

Answer: 22210J
Solution.
The boy has to apply force in the direction of its motion against frictional force.
Therefore, the angle between force and displacement will always be 0.
For calculating the work done, we have to multiply force with the distance travelled by the boy.
The magnitude of the force is always 5 newton.
Total distance travelled, will be equal to sum of 3/2 times perimeter of the circular path and distance travelled along a straight track.
d=1500m+(3/2)(2π×100)m+2000m
d=4442m
Hence work done:
W=5×4442=22210J

Question:13

Can any object have mechanical energy even if its momentum is zero? Explain.

Answer:

Solution.
Mechanical energy is the sum of kinetic energy and potential energy. It is also known as total energy.
Kinetic energy is the virtue of motion which comes with speed.
KE=12mv2
Potential energy is the virtue of position which comes with a height from the ground surface.
PE=mgh
As the object has zero momentum, it means it is not moving.
Momentum is defined as the product of mass and speed.
P = mv
A body at rest and some height from the ground will have potential energy or mechanical energy.

Question:14

Can any object have mechanical energy even if its momentum is zero? Explain.

Answer:

Solution.
Mechanical energy consists of both potential energy and kinetic energy. Momentum is said to be zero when the velocity is zero. Hence, there is no kinetic energy but the object may have potential energy.

Question:15

The power of a motor pump is 2 kW. How much water per minute the pump can raise to a height of 10 m? (Given g=10ms2 )

Answer:

1200kg
Solution.
The power of pump is 2 kW, it means it can give energy equal to 2000 Joule in one second.
Total time given is one minute; therefore, the motor pump's total energy will be equal to 1,20,000 joule.
Energy=power×time
This energy will be equal to the potential energy of the water raised to 10 m.
Let mass of the water raised is M kg.
Therefore, its potential energy at height H=10m will be:
PE=mgh
=M×10×10
120000=100M
M=1200kg
It means 1200 kg water can be raised up height 10 m, in one minute by this motor pump.

Question:16

The weight of a person on a planet A is about half that on the earth. He can jump upto 0.4 m height on the surface of the earth. How high he can jump on the planet A?

Answer:

Answer: 0.8m
Solution.
We will assume that the energy level (power) of a person does not change on changing planet.
Energy used by the person will increase its potential energy.
Therefore potential energy at the end will be same on planet A and earth.
We know the formula of potential energy is given as:
PE=mgh
As acceleration due to gravity is half on planet A. Therefore, the height raised will be twice on planet A.
Hence, height raised on planet A will be 0.8m.

Question:17

The velocity of a body moving in a straight line is increased by applying a constant force F, for some distance in the direction of the motion. Prove that the increase in the kinetic energy of the body is equal to the work done by the force on the body.

Answer:

Solution.
By the equation of motion, we can say:
v2=u2+2as
s=v2u22a
By Newton’s second law, we can say:
F= ma
We know that work done is defined as the product of force and displacement if the body is moving on a straight track.
W=Fs
W=ma×v2u22a
W=m×v2u22
W=mv22mu22
W=KEfKEi
Hence, work done is equal to the change in kinetic energy.

Question:18

Is it possible that an object is in the state of accelerated motion due to external force acting on it, but no work is being done by the force. Explain it with an example.

Answer:

Solution.
Yes, it is possible. A body moves in a uniform circular motion is an example of accelerated motion. Consider the motion of the Earth around the Sun. The Earth is constantly moving in a circular path in a direction perpendicular to the gravitational pull of the Sun. So, the work done by the gravitational force is zero. Thus, the work done can be zero for an accelerated body.

Question:19

A ball is dropped from a height of 10 m. If the energy of the ball reduces by 40% after striking the ground, how much high can the ball bounce back?(g=10ms2)

Answer:

Solution.
When the ball is dropped from 10 meters, the total energy will be in the form of potential energy.
Potential energy can be calculated as:
PE=mgh
After striking the ground, 40% of energy is lost. Hence, it will have only 60% of energy.
With the help of this 60% energy, the object will attain maximum height.
Therefore, if height attained is H then we can say:

60%(mg(10))=mgh

60100(mg(10))=mgh

h=6m
The height attained is 6m.

Question:20

If an electric iron of 1200 W is used for 30 minutes every day, find electric energy consumed in the month of April.

Answer:

Answer: 64800000J
Solution.
The electrical energy consumed is calculated in units.
We know that one unit is equal to the energy of 1 kilowatt-hour.
Power of heater = 1200 watt =1.2 kilowatt
Per day usage = 30 minutes = 0.5 hour
Energy consumed per day = (1.2 kilowatt) (0.5 hour) = 0.6 units.
In April, total number of days = 30
Therefore, total consumption will be: Energy = (30) (0.6) = 18 units
It can be converted in joules:
1unit=1000×3600J
18unit=(18×1000×3600)J=64800000J

NCERT Exemplar Class 9 Science Solutions Chapter 11-Long Answer

Question:21

A light and a heavy object have the same momentum. Find out the ratio of their kinetic energies. Which one has a larger kinetic energy?

Answer:

Solution.
For any object of mass m, the kinetic energy and momentum are defined as:
KE=12mv2
P=mv
Here v is the speed of the object.
We try to eliminate speed and to find out the relation between kinetic energy and momentum.
KE=12m(pm)2
KE=12p2m
If two bodies have the same momentum, then kinetic energy will be inversely proportional to the mass of the body.
Therefore, the lighter body will have more kinetic energy than the heavy body.

Question:22

An automobile engine propels a 1000 kg car (A) along a levelled road at a speed of 36 km h–1. Find the power if the opposing frictional force is 100 N. Now, suppose after travelling a distance of 200 m, this car collides with another stationary car (B) of same mass and comes to rest. Let its engine also stop at the same time. Now car (B) starts moving on the same level road without getting its engine started. Find the speed of the car (B) just afte the collision.

Answer:

Solution.
Mass of the car = 1000 kg
Speed of car A = 36 km/h = 10 m/s
Frictional force =100 N
We know that power is defined as:
Power = Fv
Hence, power of engine will be:
Power = (100N) (10m/s) =1000 watt.
In the collision, no external force is involved. Therefore, total momentum of both cars will be conserved.
mAuA+mBuB=mAvA+mBvB
Where mA=1000kg;mB=1000kg;uA=10m/s;uB=0m/s;vA=0m/s;
By putting the values, we will get:
vB=10m/s;

Question:23

A girl having mass of 35 kg sits on a trolley of mass 5 kg. The trolley is given an initial velocity of 4ms1 by applying a force.
The trolley comes to rest after traversing a distance of 16 m.

(a) How much work is done on the trolley?
(b) How much work is done by the girl?

Answer:

Solution
Mass of the girl = 35 kg
Mass of the trolley = 5 kg
Initial velocity of trolley = 4m/s
Total distance travelled by trolley = 16 m
We know that
v2u2=2asa=v2u22s=162×16=0.5

Force=ma=40×(0.5)=20N
workdoneonthetrolley=20N×16m=320J.workdonebythegirl=0J.

Question:24

Four men lift a 250 kg box to a height of 1 m and hold it without raising or lowering it. (a) How much work is done by the men in lifting the box? (b) How much work do they do in just holding it? (c) Why do they get tired while holding it? (g=10ms2)

Answer:

Solution.
Mass of the box = 250 kg
Height attained = 1 m
(a) Work done in lifting the block will be stored as potential energy
W=PE=mgh
After calculating, the work done will be 2500 joule.
(b) When they hold it in the air without any movement, the displacement of box will be zero.
We know work is defined as:
W=Fdcosθ
Hence, work done will be zero.
(c) When they hold it in air without any movement, their muscles are stretched.
These stretched muscles requires energy and causes fatigue and tiredness.

Question:25

What is power? How do you differentiate kilowatt from kilowatt hour? The Jog Falls in Karnataka state are nearly 20 m high. 2000 tons of water falls from it in a minute. Calculate the equivalent power if all this energy can be utilized? (g=10ms2)

Answer:

Solution

Power of anything is defined as the rate of work done by that thing or energy supplied per unit time.
Mathematically, power is defined as the product of force and velocity.
Power = F v.
Power is defined as work done per unit time and its unit will be watt or kilowatt.
If we multiply power with time, we will get energy or work done.
Therefore, kilowatt -hour will be the unit of energy.
[Only kilowatt is the unit of power and that is not unit of energy.]
In one minute all the potential energy of water can be utilised.
Energy utilised = Potential energy = mgh
PE=(2000×103kg)×10ms2×20m
=4×108Joule
Now time t = 1 minute = 60 seconds
Hence power will be
power=energytime=4×108Joule60seconds=6.67×106watt

Question:26

How is the power related to the speed at which a body can be lifted? How many kilograms will a man working at the power of 100 W, be able to lift at constant speed of 1ms1 vertically? (g=10ms2)

Answer:

Power of anything is defined as the rate of work done by that thing or energy supplied per unit time.
Mathematically, power is defined as the product of force and velocity.
Power = F v.
Power is defined as work done per unit time and its unit will be watt or kilowatt.
If we multiply power with time, we will get energy or work done.
If a man is lifting a body with constant speed, he has to apply force equal to his weight.
Force applied: F=mg=10mN
Speed attained: V=1ms1
Power used: P = 100W
By using the formula of power:
100=(10m)(1)
m=10kg.

Question:27

Define watt. Express kilowatt in terms of joule per second. A 150 kg car engine develops 500 W for each kg. What force does it exert in moving the car at a speed of 20ms1 ?

Answer:

Solution.
Power of anything is defined as the rate of work done by that thing or energy supplied per unit time.
Mathematically, power is defined as the product of force and velocity.
Power = F v.
Power is defined as work done per unit time and its unit will be watt (in SI unit) or kilowatt.
If we multiply power with time, we will get energy or work done.
power=energytime
unitofpower=joulesecond=watt
1kilowatt=1000watt=1000joule/second.
For the car:
Mass of the car: m=150kg
Speed attained: V=20ms1
Power used: P=500Wperkg hence,
Total power will be:
Power=500×150=75000watt
By using the formula of power:
75000=(Force)(20)
Force=3750N.

Question:28

Compare the power at which each of the following is moving upwards against the force of gravity? (given:g=10ms2)
(i) a butterfly of mass 1.0g that flies upward at a rate of 0.5ms1.
(ii) a 250 g squirrel climbing up on a tree at a rate of 0.5ms1

Answer:

Solution.
Power of anything is defined as the rate of work done by that thing or energy supplied per unit time.
Mathematically, power is defined as the product of force and velocity.
Power = F v.
In lifting a body with constant speed, it has to apply force equal to his weight.
(i)For the Butterfly:
Mass of the butterfly: m=1gram=0.001kg
Speed attained: V=0.5ms1
Force required: F=mg=0.01N
By using the formula of power:
Power=0.01×0.5=5×103watt
(ii)For the Squirrel:
Mass of the squirrel: m =250 gram = 0.250 kg
Speed attained: V = 0.5 m s–1
Force required: F = mg = 2.5 N
By using the formula of power:
Power=2.5×0.5=1.25watt

NCERT Exemplar Solutions Class 9 Science Chapter 11 Important Topics:

  • The chapter’s focus on work, energy, and power has been tailored to help learners comprehend these topics from a numerical perspective.
  • Energy is explained at the same time with definition of work as the change of kinetic energy during the work done by a force on a body.
  • The concept of mechanical energy is explained with particular emphasis on two components, namely, the kinetic energy (energy in motion) and the potential energy (energy in a state by virtue of position).
  • Students are taught to define power to be the work done in a given unit of time and also derive the definitions for the power of a machine or of a force.
  • More focus is directed toward the angle formed by the direction of the displacement and force since it helps in determining work and provides answers to other problems.

NCERT Class 9 Exemplar Solutions for Other Subjects:

NCERT Class 9 Science Exemplar Solutions for Other Chapters:

Features of NCERT Exemplar Class 9 Science Solutions Chapter 11

  • Concept Clarity - As in work, energy, power, and mechanical energy, these concepts are deeply explained in very simple words.

  • Step-by-Step Solutions - Each practical and theoretical question is solved in a specific manner so that strong problem-solving abilities can be developed.

  • Based on CBSE Syllabus - Completely integrated with the most recent Class 9 CBSE Science syllabus.

  • Covers All Question Formats - Contains MCQs, short answer questions, long answer questions, and questions that require application of concepts.

  • Focus on Real-Life Applications - Concept of energy conversion, machines, and power is explained with the help of relevant examples.

  • Clear Mathematical Derivations - Important derivations such as Work-Energy Theorem and power and energy formulas are included.

Also, read - NCERT Solutions for Class 9

Check the Solutions of Questions Given in the Book

Also, Read NCERT Solution Subject Wise

Check NCERT Notes Subject Wise

Also Check NCERT Books and NCERT Syllabus here

Frequently Asked Questions (FAQs)

1. What is the scientific definition of work?

Work is said to be done when a force is applied on an object and the object moves in the direction of the force.

2. How is average power different from instantaneous power?

Average power is total work done divided by total time, while instantaneous power is power at a specific moment in time.

3. Why is energy important in daily life?

Energy is required for every activity—from walking and cooking to running machines and lighting homes.

4. Can energy be destroyed?

No, according to the law of conservation of energy, it can only be transformed from one form to another.

5. Why do we use kilowatt-hours instead of joules in electricity bills?

Because joules are very small units; kilowatt-hours are more practical for measuring large-scale energy consumption.

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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

 

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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

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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

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

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

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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.

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Option 1)

twice that in 60 g carbon

Option 2)

6.023 × 1022

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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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