# Book 1: Chapter No 5 Circular Motion

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## Book 1: Chapter No 5

Circular Motion

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Question 1 |

Relation between linear velocity of a rotating body and its angular

A | V = ? x r |

B | V = ? x r ? |

C | V = ? . r ? |

D | V = ? x r |

Question 2 |

The shaft of a motor rotates at a constant angular speed of 3600 revolution Per minute. Angle turned through in 1 sec in radian is

A | p |

B | 120 p |

C | 4p |

D | 6 p |

Question 3 |

A body can have constant velocity when it follows a(an)

A | elliptical path |

B | circular path |

C | parabolic path |

D | rectiljnear path |

Question 4 |

A body moving along the circumference of a circle completes two revolutions. If the radius of the circular path is R, then the ratio of displacement to the covered path will be

A | p R |

B | 2p R |

C | 4p R |

D | zero |

Question 5 |

If a wheel of radius r turns through an angle of 30°, then the distance through which any point on its rim moves is

A | p /3x3 |

B | p /6x3 |

C | p /9x3 |

D | p /3x2 |

Question 6 |

When a wheel 1m in diameter, makes 30 revolutions per minute, the linear speed of a point on its rim in m/sec is

A | p |

B | 2 p |

C | 5p |

D | 6p |

Question 7 |

The dimensional formula for angular velocity will be

A | M° U° T-1 |

B | M° U° T- |

C | M° T-1 |

D | MLT3 |

Question 8 |

The useful unit of angular displacement in SI units is

A | Meter |

B | Radian |

C | Revolution |

D | Rotation |

Question 9 |

When a body is moving along a circular path, it covers a certain angle in a given interval of time. Such type of motion is

A | vibratory motion |

B | linear motion |

C | rotatory motion |

D | angular motion |

Question 10 |

One radian is equal to

A | 87.3° |

B | 87° |

C | 57.3° |

D | 67.3° |

Question 11 |

Radian is defined as the angle subtended at the centre of a circle by

A | AIl are of length equal to its radius |

B | An are of length equal to double its radius |

C | An are of length equal to 2.5 times its radius |

D | An are of length equal to thrice its radius |

Question 12 |

The angular displacement per second (per unit time) is called

A | Angular acceleration |

B | Angular rotation |

C | Angular velocity |

D | Angular speed |

Question 13 |

The direction of linear velocity 'of a body moving in a circle is

A | along the axis of rotation |

B | along the tangent |

C | directed towards the centre |

D | directed away from the centre |

Question 14 |

If a car moves with a uniform speed of 2 mS•1 in a circle of radius 0.4 m, its angular speed is

A | 4rad.s.1 |

B | 5rad.s.1 |

C | 5rad.s.-1 |

D | 4rad.s |

Question 15 |

Average angular velocity is defined by the relation

A | = ?t |

B | = ?/t |

C | = 6t2 |

D | = ?t 3 |

Question 16 |

When a body moves in a circle, the angle between its linear velocity and angular velocity is always

A | 180° |

B | 100° |

C | 0° |

D | 60° |

Question 17 |

The circumference of a circle subtends an angle of

A | p/2 radian |

B | p radian |

C | 2p radian |

D | 4p radian |

Question 18 |

In angular motion, Newton’s second law of motion is

A | F = ma |

B | F = a |

C | F = ma 2 |

D | T = la |

Question 19 |

A body moving along the circumference of a circle completes two revolutions. If the radius of the circular path is R, then the ratio of the displacement to the covered path will be

A | vR |

B | vR2 |

C | 2vR |

D | zero |

Question 20 |

The rate of change of angular velocity is called

A | Average displacement |

B | Average angular velocity |

C | Average acceleration |

D | Angular acceleration. |

Question 21 |

The unit of angular velocity in SI units is

A | Radian S-l |

B | Meter S-1 |

C | Degree S•1 |

D | Revolution S-I |

Question 22 |

The unit of angular acceleration in SI units is

A | Radian S-l |

B | Radian-2s-1 |

C | Radian-s-2 |

D | Radian-2s |

Question 23 |

The dimensions of angular velocity are

A | LT-1 |

B | LT12 |

C | L-T |

D | LT1 |

Question 24 |

The dimensions of angular acceleration are

A | L-1T1 |

B | L-T1 |

C | LT2 |

D | LT1 |

Question 25 |

The acceleration of a body undergoing uniform circular motion is constant in

A | Magnitude only |

B | Direction only |

C | Both magnitude and direction |

D | None of the above |

Question 26 |

Angular acceleration is produced by

A | Torque |

B | power |

C | force |

D | Pressure |

Question 27 |

For a particle moving in a horizontal circle with constant angular velocity

A | The linear momentum is constant but the energy varies |

B | The energy is constant but the linear momentum varies |

C | Both energy linear momentum are constant |

D | Neither the linear momentum nor the energy is constant |

Question 28 |

In case of planets the necessary acceleration is provided by

A | Gravitational force |

B | Frictional force |

C | Coulomb's force |

D | None of these |

Question 29 |

Average angular velocity is mathematically defined as

A | v/2 |

B | v/3 |

C | v/5 |

D | ?i + ?f/2 |

Question 30 |

A body can have tangential acceleration in

A | Elliptical motion. |

B | Rectilinear motion. |

C | Uniform circular motion. |

D | Variable circular motion. |

Question 31 |

The angular speed of second's hand of a watch in rad/s is

A | p/30 |

B | p/3 |

C | p/10 |

D | p/20 |

Question 32 |

For a particle moving in a horizontal circle with a constant angular velocity

A | The linear momentum is constant but the energy varies |

B | The energy is constant but the linear momentum varies |

C | Both energy and linear momentum are constant |

D | Neither the linear momentum nor the energy is constant |

Question 33 |

The angular speed for daily rotation of earth in radians per hour

A | p |

B | p4 |

C | p/4 |

D | p/12 |

Question 34 |

Two revolutions arc equal to

A | 12.56 radians |

B | 7t radians |

C | 70n° |

D | 4 radians |

Question 35 |

Angular acceleration is

A | 1 times linear acceleration |

B | 1/r times linear acceleration |

C | r times linear acceleration |

D | 1/r times linear acceleration |

Question 36 |

A wheel of radius 4t1cm haying an angular speed 4 rad/sec will have linear speed equal to

A | 1 m/sec |

B | 1.6 m/sec |

C | 16 m/sec |

D | 1.2 m/sec |

Question 37 |

Linear acceleration of a point moving in circle of radius 311 cm with angular acceleration of 0.5 rad/sec2.is

A | 10 cm/ sec 2 |

B | 5 cm/ sec 2 |

C | 15 cm/ sec 2 |

D | 9cm/ sec 2 |

Question 38 |

Angular displacement is measured in

A | Radians |

B | Meters |

C | Centimeter |

D | Foot |

Question 39 |

If a gymnast sitting on a rotating stool with his arms outstretched, lowers his arms

A | The angular speed increases |

B | The angular speed decreases |

C | The angular speed remains same |

D | None of them |

Question 40 |

When an object moves in a circle with uniform speed, its acceleration is

A | Directed towards the centre of circle |

B | Directed away from the centre of circle |

C | In a direction tangent to 'the point at the circle |

D | Along the chord |

Question 41 |

The motion of a body in a circle is called

A | Rectilinear motion |

B | Vibratory motion |

C | Angular motion |

D | Elliptical motion |

Question 42 |

The dimensions of angular momentum are

A | M L2T-1 |

B | M L2T1 |

C | M L2-1 |

D | L2T-1 |

Question 43 |

When a torque acting on a system is zero, which of the following will he constant

A | Force |

B | Angular momentum |

C | Linear momentum |

D | Linear impulse |

Question 44 |

The physical quantity which produces angular acceleration in a body is called

A | Angular ve1ocity |

B | Momentum |

C | Centripetal force |

D | Torque |

Question 45 |

A stone being whirled at the end of a string is likely to break when the stone is

A | At the highest point |

B | AI the lowest point |

C | At any point during motion |

D | heavy |

Question 46 |

The period of a circular motion is given by

A | T = rv2 |

B | T = v |

C | T = rv |

D | T =2p/ ? |

Question 47 |

The centripetal force to the satellite is provided by

A | weight of the satellite |

B | The motion of satellite |

C | Coulomb's force |

D | Force of gravity |

Question 48 |

48. A stone is whirled in a vel1ical circle at the end of a string. When the stone is at the highest position the tension in the string is

A | maximum |

B | zero |

C | equal to the weight of the stone |

D | less than the weight of the stone |

Question 49 |

What is the outward force acting on a mass of 10 kg tied to one end of an inelastic string 10m long and rotated at a speed of 1m/s'?

A | 1N |

B | 10N |

C | 2N |

D | 2.5N |

Question 50 |

A cyc1ist cycling around a circular racing track skids because

A | the centripetal force upon him is les& than the limiting friction |

B | the centripetal force upon him is greater than the limiting friction |

C | the centripetal force upon him is equal to the limiting friction |

D | the friction between the lyres of the cycle and the road vanishes |

Question 51 |

The centripetal force is always directed

A | Away from the centre along the radius |

B | Along the direction of motion |

C | Towards the centre along the radius |

D | Opposite to the Illation of the body |

Question 52 |

When an object moves' with uniform speed in a circular orbit, its centripetal acceleration must he directed

A | Along the direction of motion |

B | Towards the centre along the radius |

C | Perpendicular to the centre of circle |

D | Away from the centre along the radius |

Question 53 |

When a body is whirled in a horizontal circle by means of a string,the centripetal force is supplied by

A | Mass of a body |

B | Velocity of body |

C | Tension in the string |

D | Centripetal acceleration |

Question 54 |

When a body is whirled. in a vertical circle at the end of the string tension in the string is maximum

A | At the top |

B | At the bottom |

C | At the centre |

D | None of these |

Question 55 |

centripetal force performs

A | Maximum work |

B | Minimum work |

C | Negative work |

D | No work |

Question 56 |

The mud flies off the tyre of a moving bicycle in the direction of

A | Towards the centre |

B | Radius |

C | Tangent to the tyre |

D | Motion |

Question 57 |

57. A ball is tied to one end of a cord and is whirled from the other end in a circle at constant speed. If the cord breaks, the hall moves along .

A | The radius towards the centre |

B | The radius away from the centre |

C | The direction of motion |

D | The tangent |

Question 58 |

The work done in moving a body of mass m by the centripetal force mv2/r, ovel' half the circumference of the circle of radius r with Speed r

A | 0 |

B | 5 |

C | 4 |

D | 3 |

Question 59 |

The angle of banking is given by

A | Tan ? v/rg2 |

B | Tan ? v2/r2 |

C | Tan ? v2/r2g |

D | Tan ? v2/rg |

Question 60 |

A Car negotiating a curved path

A | µ > tan ? |

B | µ = tan ? |

C | µ < tan ? |

D | noe of them |

Question 61 |

When a person throws a stone vertically upward while sitting in a train moving with constant velocity the stone will fall

A | In his hands |

B | Behind him |

C | In front of him |

D | Behind him |

Question 62 |

A vehicle of mass 1000 kg is moving round a curve with a speed of108 kill/hour. If the speed of the car is doubled what happens to the centripetal force acting on it?

A | Remains unchanged |

B | Becomes double |

C | Becomes three times |

D | Becomes four times |

Question 63 |

In case of planets the necessary acceleration is provided by the

A | Frictional force |

B | Centripetal force |

C | Gravitational force |

D | Electromagnetic force |

Question 64 |

work, done by centripetal force is

A | Zero |

B | Maximum |

C | positive |

D | Negative |

Question 65 |

Centripetal force is that force which is directed

A | Away from the centre of the circle• |

B | towards from the centre of the circle |

C | Not have a particular direction |

D | Tangent 10 the circle |

Question 66 |

If a satellite of mass m orbits around the earth of mass Me in an orbits of radius r, its angular speed will be

A | vGMe/r3 |

B | vGMe/r2 |

C | vGMe/r |

D | vGMe |

Question 67 |

An astronaut in space with a life belt is attached to the spaceship. If the life belt is cut hy accident

A | he will continue moving in the orbit |

B | he will fall to the earth |

C | he will continue moving |

D | none of these |

Question 68 |

The weight of a body of 15 kg mass placed in a Spaceship orbiting the earth at a Speed of 3000 m/sec at a height of 500 m will be

A | 176.5 N |

B | 126.5 N |

C | 240 N |

D | 0 N |

Question 69 |

A satellite moving round the earth constitutes

A | An inertial frame of reference |

B | Non-inertial frame |

C | Neither inertial nor non-inertial |

D | Both inertial and non-inertial |

Question 70 |

A satellite orbiting the earth receives centripetal force from

A | Gravitational pull of the sun on the satellite |

B | Gravitational pull of the earth on the satellite |

C | The rocket engine attached to the satellite |

D | None of the above |

Question 71 |

A man' of weight w is standing on a lift which is moving upwards . with an acceleration a. The apparent weight of the man is

A | w |

B | w (1+a/g) |

C | w (1+a3/g) |

D | w (1+a2/g) |

Question 72 |

The ratio of inertial mass to gravitational mass is

A | 1 |

B | 2 |

C | 3 |

D | 4 |

Question 73 |

A body of mass 2 kg is suspended in an• elevator by means of a spring balance. The balance reads its weight when the elevator moves up with an acceleration of 5 ms-z as

A | 20.5N |

B | 29.6N |

C | 35.5N |

D | 30.5N |

Question 74 |

The weight of a man is equal to the force of gravity acting on it when

A | The elevator is at rest |

B | The elevator moves up with an acceleration |

C | The elevator moves down with an acceleration -a' |

D | None of the above |

Question 75 |

Inertial mass is

A | Equal to gravitational mass |

B | Less than gravitational mass |

C | more than gravitational mass |

D | Not related to gravitational mass at ordinary speed |

Question 76 |

A man in an elevator ascending with an acceleration will conclude that his weight has

A | Increased |

B | Decreased |

C | Reduced to zero |

D | Remained constant |

Question 77 |

A man in an elevator descending with an acceleration will conclude that his weight has

A | Increased |

B | Decreased |

C | Remained constant |

D | Reduced to zero |

Question 78 |

A body of 2kg is suspended from the ceiling of an elevator moving up with an acceleration 'g' its apparent weight in the elevator will be

A | 19.2N |

B | 9.4N |

C | 9.8N |

D | 39.2N |

Question 79 |

A man weighs 980N in a stationary lift. What will he the weight if the lift starts moving up with an acceleration of 4.9 m sec2

A | 980N |

B | 1980N |

C | 1280N |

D | 1470N |

Question 80 |

The weight of a man in an elevator moving down with an acceleration of 9.8 ms2 will become

A | Half |

B | Zero |

C | unchanged |

D | Double |

Question 81 |

A man of mass 1011 kg is standing in an elevator. The net force on man when elevator is going up with acceleration of 4 ms•2 would be

A | 908N |

B | 918N |

C | 1280N |

D | 1380N |

Question 82 |

If a body of mass 10 kg is falling freely, its weight becomes

A | 0 |

B | 98N |

C | 80N |

D | 88N |

Question 83 |

A 5kg mass is falling freely, the force acting on it will he

A | 5N |

B | 3N ~ |

C | 4N |

D | 0 |

Question 84 |

A mass of 100 kg in an elevator is descending with a = 1 m/sec2 Its apparent weight will be

A | 1080 N |

B | 1010 N |

C | 100 N |

D | 880 N |

Question 85 |

A mass of 10kg is ascending in an elevator with an acceleration of 4m/scc2 Its apparent weight will he

A | 98 N |

B | 128 N |

C | 138 N |

D | 108 N |

Question 86 |

An elevator initially accelerates upward from rest and then ascends with uniform speed. Time period of a simple pendulum in the elevator will

A | Increase and then decrease |

B | Decrease and then increase |

C | Increase |

D | Decrease |

Question 87 |

The weight, of a man in an elevator moving down with an acceleration of 9.8m/sec will become

A | Half |

B | Zero |

C | Double |

D | Negative |

Question 88 |

A body in satellite orbiting round the earth is weightless because (

A | No force acts on it |

B | The moon attracts with a force equal to its weight |

C | It is far away from the earth |

D | g is zero |

Question 89 |

The apparent weight of a man in an elevator moving up with an acceleration a is

A | mg + ma |

B | mg - ma |

C | mg |

D | mg/2 |

Question 90 |

A body in satellite orbiting round the earth is weightless because

A | No net force acts on it |

B | The moon attracts the body with a force equal to its weight |

C | It is far away from the earth to experience pull of the earth |

D | None of the above |

Question 91 |

The frequency of rotation of a spaceship about its own axis to create artificial gravity like that on earth is

A | avr |

B | vavr |

C | a |

D | va |

Question 92 |

Which one of the following planets is closer to the sun?

A | Pluto |

B | Mars |

C | Venus |

D | Mercury |

Question 93 |

The planet nearest to the earth is

A | Venus |

B | Mercury |

C | Moon |

D | Sun |

Question 94 |

Minimum number of communication satellites required to cover the whole earth is

A | 4 |

B | 2 |

C | 3 |

D | 1 |

Question 95 |

The SI units of angular momentum are

A | Kg-ms-I |

B | Kg-ms5-I |

C | Kg-ms2-I |

D | Kg-ms |

Question 96 |

angular momentum of a body under a central force is

A | Zero |

B | Maximum |

C | Minimum |

D | Constant |

Question 97 |

For the angular momentum of a system. to remain constant, the external torque should he

A | small |

B | large |

C | Neither small nor large |

D | 0 |

Question 98 |

If a gymnast sitting on a rotating stool with his ,urns out stretched lowers his arms

A | The angular speed decreases |

B | The angular speed increases |

C | The angular speed becomes zero |

D | None of the above |

Question 99 |

. The rate of change of linear momentum of a body is equal to

A | The applied torque |

B | The applied force |

C | Impulse |

D | None of the above |

Question 100 |

The moment of linear momentum is called

A | Couple |

B | Torque |

C | Angular momentum |

D | Moment of force |

Question 101 |

Which of the following pairs docs not have identical dimensions

A | Mass and moment of inertia |

B | Momentum and impulse |

C | Torque and energy |

D | Energy and work |

Question 102 |

Angular momentum is defined as

A | The dot product of position vector and linear momentum |

B | The cross product of position vector and linear momentum |

C | The simple product. of position vector and linear momentum |

D | The product of distance and linear momentum |

Question 103 |

Angular momentum is defined as

A | The quantity of matter in a body |

B | The quantity of motion in a body |

C | The moment of force in a body |

D | The moment of momentum in a |

Question 104 |

If a body is moving with a uniform velocity with respect to a fixed origin, then its angular momentum will

A | Increase |

B | Decrease |

C | Remain constant |

D | First increases then decreases |

Question 105 |

The rate of change of angular momentum of a body is equal to

A | Impulsive 'force |

B | Applied force |

C | Moment of inertia |

D | The applied torque |

Question 106 |

118. Law of conservation of angular momentum states that in the absence of an external torque, the angular momentum of a rotating body is

A | Variable |

B | Constant |

C | Unstable |

D | Zero |

Question 107 |

The point at which the whole weight of the body acts is called

A | Torque |

B | Centre of gravity |

C | Centre of the body |

D | none of them |

Question 108 |

The centre of gravity of irregular shaped body lies

A | At the intersection of diagonals |

B | At the intersection of medians |

C | At its centre |

D | At the axis of rotation of the body |

Question 109 |

The centre of gravity of a uniform rod is at

A | Its one end |

B | The other end |

C | The centre of rod |

D | None of these |

Question 110 |

The centre of gravity of triangular plate is

A | At the axis of rotation of plate |

B | At the intersection of medians |

C | At the intersection of diagonals |

D | None of the above |

Question 111 |

Mark the correct statement.

A | Linear moments do not vanish about the centre of mass. |

B | A body may have two centers of mass |

C | Centre of mass of a body lies within the body |

D | Centre of mass of a body may lie within or outside the body. |

Question 112 |

The centre of mass of a body is at

A | The middle of the body |

B | The centre of the body |

C | The point at which the whole mass of CI body acts |

D | None of the above |

Question 113 |

The total weight of the body acts

A | At its centre of gravity |

B | At its other end |

C | At its centre |

D | None of the above |

Question 114 |

The centre of gravity of a triangular plate is at

A | One end of the plate |

B | The intersection of the medians |

C | The mid point of any side of Ute plate |

D | None of the above |

Question 115 |

If a stock does not pay dividends the calculation can still be performed

A | a value of ______is used for the dividend payments |

B | 0 |

C | 1 |

D | -1 |

Question 115 Explanation:

1

Question 116 |

an IFE total weighted score of____________ represents a weak internal position

A | |

B | 1.0 to .99 |

C | 1.0 to 2.99 |

D | 20 to 1.99 |

Question 116 Explanation:

4

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