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Chapter 5

Circular Motion 

Encircle the most appropriate answer among the following options

1          When a body is moving along a circular path, it covers a certain angle in given time. Such a type of motion is called choose which one is correct:

(a) Linear motion        

(b) Angular motion

(c) Vibratory motion   

(d) Rotatory motion

2.         When a body moves in such a way that its distance from the mean position remains constant is called choose which one is correct:

(a) Linear motion        

(b) Circular motion

(c) Vibratory motion   

(d) Rotatory motion

3.         The angle through which a body moves is called choose which one is correct:

(a) Angular displacement   

(b) Angular velocity

(c) Angular acceleration        

(d)        None of these

4.         The SI unit of angular displacement is choose which one is correct:              

(a) Metre        

(b) Kilometre

(c) Radian     

(d) None of these

5.         The angle subtended at the center of a circle by an arc equal to its radius is called choose which one is correct:

(a) One radian          

(b) One degree          

(c) One rotation

(d) None of these

6          One radian is equal to choose which one is correct:     

(a) 47.30         

(b) 57.30

(c) 67.30         

(d) 59.30

7          The linear acceleration of bodies moving in circular path is choose which one is correct:

(a) Constant   

(b) Negative

(c) Positive     

(d) Zero

8.         The angular displacement is assign positive sign when the rotation is choose which one is correct:

(a) Clockwise 

(b) Anti-clock wise

(c) Perpendicular       

(d) Parallel

9.         The direction associated with angular displacement is given by choose which one is correct:

(a) Left hand rule       

(b) Head to tail rule

(c) Right hand rule   

(d) None of these

10.       Angular displacement is a choose which one is correct:

(a) Scalar       

(b) Vector

(c) Neither scalar nor vector  

(d) None of these

11.       Radian is defined as the angle subtended at the center of a circle by an choose which one is correct:

(a) Arc whose length equal to radius of circle

(b) Arc whose length less than radius of circle

(c) Arc whose length greater than radius of circle

(d) None of these

12.       Which one is the correct relation for angular displacement O, radius r and length of arc S is choose which one is correct:

(a) S = r0

(b)  = 0

(c) Sr = 0        

(d) S0 = r

13.       The rate of change of angular displacement is known as choose which one is correct:

(a) Angular speed      

(b) Angular acceleration

(c) Angular velocity 

(d) None of these

14.       Angular velocity is a choose which one is correct:                    

(a) Scalar       

(b) Vector

(c) Neither scalar nor vector  

(d) None of these

15.       The direction of angular velocity of a body moving in a circle is choose which one is correct:

(a) Towards the axis of rotation         

(b) Away from the axis of rotation

(c) Along the axis of rotation         

(d) None of these

16.       Average angular velocity is defined by the relation choose which one is correct:

(a) <> =

(b) <> =

(c) <> =

(d) <> =

17.       When an object moves in a circle, the angle between angular velocity and linear velocity v is choose which one is correct:

(a) 900

(b) 00

(c) 450

(d) 600

18.       The angular velocity at any instant is called choose which one is correct:

(a) Instantaneous angular velocity

(b) Instantaneous angular speed

(c) Instantaneous angular displacement

(d) None of these

19.       If a particle moves in a circle of radius r with uniform angular velocity o then the angle between radius r and linear velocity V is choose which one is correct:

(a) 450

(b) 90

(c) 600

(d) 1800

20.       The rate of change of angular velocity is known as choose which one is correct:

(a) Angular velocity    

(b) Angular acceleration

(c) Angular displacement       

(d) None of these

21.       SI unit of angular acceleration is choose which one is correct:           

(a) rad/s2       

(b) rad/s

(c) rad.s2        

(d) rad.s

22.       The relation between linear acceleration and angular acceleration is choose which one is correct:

(a)  = a x r

(b) a = r x 

(c) r = a x 

(d) a =  x r

23.       The dimensions of angular acceleration are choose which one is correct:

(a) [LT-2]

(b) [T2]

(c) [LT-1]

(d) [T-3]

24.       The relation between linear velocity and angular velocity is choose which one is correct:  

(a) V = r x

(b) V =  x r

(c)  = V x r

(d) r = V x

25.       The dimensions of angular velocity are choose which one is correct:

(a) [LE-1]         

(b) [LT]

(c) [LE-2]         

(d) [T-1.]

26.       If a rotating body is moving anti-clockwise, the direction of angular velocity is choose which one is correct:

(a) Towards the centre          

(b) Along the linear velocity

(c) Away from the centre      

(d) Perpendicular to both radius and linear velocity

27.       Angular acceleration is produced due to choose which one is correct:                      

(a) Centripetal force   

(b) Torque

(c) Force        

(d) None of these

28.       When the lift is moving upwards with an acceleration a then weight of the object appears to be  than real weight.

(a) Less          

(b) More

(c) No change

(d) None

29.       The force needed to bend the normally straight path of particle into a circular path is known as choose which one is correct:

(a) Inertia        

(b) Torque

(c) Centripetal force

(d) None of these

30.       When a body is moving in a circle of radius r with constant linear velocity v, its centripetal force is choose which one is correct:

(a)  

(b)

(c)

(d) none of these

31.       When a body moves in a circle of radius r with angular speed o, its centripetal force is choose which one is correct: 

(a)

(b)

(c)

(d)

32.       A body is moving in a circle of radius r with constant speed V, its centripetal acceleration is choose which one is correct:

(a)

(b) v2r

(c)       

(d) 

33.       A body is moving in a circle of radius r with constant angular velocity 0), its centripetal acceleration is choose which one is correct:

(a) 

(b)

(c)

(d)

34.       The force required to keep a body into a circle is called choose which one is correct:

(a) Centrifugal force  

(b) Centripetal force

(c) Gravitational force

(d) None of these

35.       A body is moving in a circle at constant speed. Which of the following statement is correct choose which one is correct:

(a) There is no force acting away from the centre of the circle

(b) There is no force acting towards the centre of the circle

(c) There is no acceleration

(d) None of these

36.       The vectorial form Of centripetal force is choose which one is correct:

(a)

(b)

(c)

(d)

37.       An object is traveling in a circle with constant speed. Its acceleration is constant in choose which one is correct:

(a) Direction only       

(b) Magnitude only

(c) Both magnitude and direction      

(d) None of these

38.       A body of mass 4 kg moves along a circle of radius 2m with a constant speed of

4 m/s. The centripetal force is choose which one is correct:

(a) 32 N          

(b) 16N

(c) 20 N          

(d) 64 N

39.       In case of planets, the necessary acceleration is provided by choose which one is correct:

(a) Coulombs force    

(b) Centripetal force

(c) Gravitation force

(d) None of these

40.       The necessary centripetal force to the moving car round a corner track is provided by choose which one is correct:

(a) Centrifugal force

(b) Gravitational force

(c) Coulombs force

(d) Frictional force

41.       The mud flies off the tyre of a moving bicycle in the direction of choose which one is correct:

(a) Towards the centre          

(b) Tangent to the tyre

(c) Along the radius

(d) Along the motion

42.       The angular momentum is defined as choose which one is correct:   

(a) L = mv

(b) L = r x F

(c) L = r x P   

(d) L = P x r

43.       The SI unit of angular momentum is choose which one is correct:     

(a) kg m2/s     

(b) kg m2/s2

(c) kg2 m/s     

(d) kg m/s

44.       The dimensions of angular momentum L are choose which one is correct:   

(a) [M2 LT-1]   

(b) [M2L2T]

(c) [ML2T2]     

(d) [ML2T-2]

45.       Angular momentum of a body under central force is choose which one is correct:

(a) Minimum  

(b) Zero

(c) Maximum 

(d) Constant

46.       A body rotating in a circle of radius I m with an angular speed 10 rad/s has the tangential velocity choose which one is correct:

(a) 2 m/s         

(b) 5 m/s

(c) 10 m/s                 

(d) 15 m/s

47.       The rate of change of angular momentum of a body is choose which one is correct:

(a) The applied torque         

(b) The applied force

(c) Both (a) and (b)    

(d) None of these

48.       Angular momentum is conserved under choose which one is correct:                      

(a) Variable force       

(b) Constant force

(c) Central force       

(d) None of these

49.       The direction of angular momentum L is choose which one is correct:

(a) Along the direction of P

(b) Along the direction r

(c) Parallel to the plane containing r and P

(d) Perpendicular to the plane containing r and P

50.       The angular momentum of a body about a fixed point is conserved if its velocity choose which one is correct:

(a) Increases  

(b) Decreases

(c) Constant   

(d) None of these

51.       Angular momentum of a rigid body is equal to choose which one is correct:

(a) 1

(b)

(c)

(d)

52.       In rotational motion, the quantity which plays the same role as the inertial mass in term of linear motion is known as choose which one is correct:

(a) Angular momentum

(b) Linear momentum

(c) Momentum of inertia

(d) Torque

53.       The value of angular momentum is maximum when O is choose which one is correct:

(a) 600

(b) 450

(c) 00  

(d) 900

54.       The angular momentum L in terms of angular velocity   is equal to choose which one is correct:

(a) mr2)          

(b) rn2

(c) m  

(d) m2r22

55.       The product of the mass m of the rotating body and the square of radius of gyration is called choose which one is correct:

(a) Moment of inertia           

(b) Torque

(c) Linear momentum

(d) None Of these

56.       Mathematically moment of inertia is equal to choose which one is correct:   

(a) I = mr2      

(b)  I = mr

(c)  rn2r           

(d) I = m2r2

57.       The moment of inertia depends upon choose which one is correct:

(a) Angular momentum

(b) Mass of the body and its angular speed

(c) Mass of the body and its radius

(d) Mass as well as its distribution with respect to axis of rotation

58.       Moment of inertia of a thin rod about mid length is choose which one is correct:

(a) I = mL2     

(b) I = mr2

(c) I = mr2      

(d) I = mr2

59.       Moment of inertia of a hoop about its axis is choose which one is correct:

(a) I = mr2      

(b) I = mr2

(c) I = mr2      

(d) I =  mr2

60.       The moment of inertia of a body comes in action in choose which one is correct:

(a) Circular motion  

(b)  Straight line motion

(c) Curved path          

(d) None of these

61.       The SI unit of angular momentum is choose which one is correct:                 

(a) kgm3         

(b) kgm

(c) kgm2         

(d) kgm-2

62.       The physical quantity which plays the same part in angular motion as mass does in linear motion is called choose which one is correct:

(a) Moment of inertia           

(b) Momentum

(c) Torque      

(d) None of these

63.       The physical quantity which produces angular acceleration is known as choose which one is correct:

(a) Force

(b) Torque

(c) Inertia        

(d) None of these

64.       Moment of inertia of a solid disc about its axis is choose which one is correct:

(a) mr2

(b) mr-3           

(c) mr2

(d) mr2

65.       Moment of inertia of a sphere is choose which one is correct:

(a) mr2

(b) mr-3           

(c) mr2

(d) mr2

66.       The dimensions of moment of inertia are choose which one is correct:                     

(a) [ML2 ]       

(b) [ML-2]

(c) [ML-1]        

(d) [M2L]

67.       The force and torque are analogues to choose which one is correct:             

(a) Each other           

(b) Moment of inertia

(c) Velocity     

(d) None of these

68.       The total weight of the body acts at choose which one is correct:                  

(a) its center of gravity        

(b) its centre

(c) its one end

(d) its other end

69.       The center of gravity is also called choose which one is correct:                    

(a) Centre of body     

(b) Centre of mass

(c) Both (a) and (b)    

(d) None of these

70.       The acceleration due to gravity choose which one is correct:              

(a) Same value at every place          

(b) Same value everywhere on the surface of earth

(c) Varies with altitude

(d) none of these

71.       The value of ‘g’ at the center of the Earth will be choose which one is correct:

(a) Infinite       

(b) Double

(c) Zero          

(d) None of these

72.       Law of conservation of angular momentum states that if no acts on a system, the total angular momentum of the system remains constant choose which one is correct:

(a) External torque     

(b) External couple

(c) External force     

(d) None of these

73.       The axis Of rotation of a body will not change its orientation unless an external causes it to do so choose which one is correct:

(a) Force        

(b) Torque

(c) Work         

(d) Energy

74.       A cricketer spins the ball before bowling to choose which one is correct:     

(a) Give it downward deflection         

(b) Give it upward deflection

(c) Keep it straight      

(d) None of these

75.       An elevator is accelerated downward with acceleration a, the apparent weight of a body of mass m in it will be choose which one is correct:

(a)  m(a – g)

(b)  m(g + a)

(c) m(g – a)    

(d) mg

76.       An elevator is accelerated upward with acceleration a, the apparent weight of a body of mass m in it will be choose which one is correct:

(a)  m(a – g)

(b)  m(g + a)

(c) m(g – a)     

(d) mg

77.       If the rope of an elevator moving downward with acceleration a breaks, the apparent weight of a body of mass m in it will be choose which one is correct:

(a)  m(a – g)

(b)  m(g + a)

(c) m(g – a)     

(d) zero

78.       The K.E of a disc of mass m rolling down on an included plane is choose which one is correct:

(a) mv2           

(b) mv2

(c) mv2           

(d) None of these

79.       The rotation K.E of any hoop of radius r is given by choose which one is correct:

(a)

(b)

(c)

(d) none

80.       Suppose a body of cylindrical shape is called down on an inclined plane of height h. It contains choose which one is correct:

(a) Translation K.E     

(b) Rotational K.E

(c) Both (a) and (b)  

(d) None of these

81.       Speed of hoop at the bottom can be given by choose which one is correct:

(a) v =

(b)  v =

(c)  v =

(d) None of these

82.       Orbital velocity of a satellite orbiting closer to the planet is given by choose which one is correct:

(a) v =

(b) v =

(c) v =

(d) None of these

83.       If the earth stops rotating weight of a body on the equator choose which one is correct:

(a) Increases  

(b) Remains constant

(c) Decreases

(d) None of these

84.       A body becomes weightless choose which one is correct:                   

(a) Spaceship orbiting the earth         

(b) Outside the field free region

(c) On the earth ‘s centre       

(d) All Of above

85.       The axis of rotation of a rotating body in the absence of external torque choose which one is correct:

(a) Continuously changes      

(b) Remain fixed in direction

(c) Both (a) and (b)    

(d) None of these

86.       The number of satellite included in the Global positioning system is choose which one is correct:

(a) 20  

(b) 48

(c) 24  

(d) None of these

87.       Orbital speed of a satellite at large enough height h above the earth’s surface is choose which one is correct:

(a)

(b)

(c)

(d) None of these

88.       In a spaceship orbiting the earth, the apparent weight of the body in it is choose which one is correct:

(a) Less than its real weight   

(b) Greater than its real weight

(c) Weightlessness  

(d) None of these

89.       One communication satellite covers choose which one is correct:

(a) 240 longitudinal lines        

(b) 360 longitudinal lines

(c) 120 longitudinal lines     

(d) none of these

90.       International telecommunication in satellite organization (INTELSAT) choose which one is correct:

(a) Operates at microwave frequency 4.611 and 149 Hz

(b) Has capability of 30,000 two-way telephone circuits

(c) Provides facility of three T.V channels

(d) All of above

91.       Height of the closest orbit of the satellite above the earth is choose which one is correct:

(a) 300 km     

(b) 250 km

(c) 500 km     

(d) 400 km

92.       Radius of the geo-stationary orbit from the earths center is choose which one is correct:

(a) 4.24 x 104 km       

(b) 3.23 x 104 km

(c) 4.23 x 103 km       

(d) None of these

93.       Height of geo-stationary satellite above the equator is choose which one is correct:

(a) 40,000 km

(b) 24,000 km

(c) 30,000 km

(d) 36,000 km

94.       Entire populated earth, surface is covered by choose which one is correct: 

(a) Four          

(b) Three

(c) Two                      

(d) None of these

95.       The geo-stationary satellite are used for choose which one is correct:                      

(a) World communications    

(b) Weather observations

(c) Navigation

(d) All of above

96.       Einstein theory was considered as a choose which one is correct:                 

(a) Scientific trump  

(b) Simple trump

(c) Natural trump       

(d) None of these

97.       Which theory of gravitation is better choose which one is correct:                 

(a) Newton     

(b) Einstein

(c) Compton   

(d) Plank

98.       The product of linear momentum and moment arm for momentum is called choose which one is correct:

(a) Momentum           

(b) Angular momentum

(c) Torque      

(d) Moment of inertia

99.       radian.                      

(a) 0.01745     

(b) 57

(c) 0.1745       

(d) 0.2

100.     If r= I m and O = 10 then what is value of S choose which one is correct:

(a) 0.01745 m

(b) 1 m

(c) 2 m

(d) none