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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) 47.3^{0}

**(b) 57.3 ^{0}**

(c) 67.3^{0}

(d) 59.3^{0}

*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 = r 0**

(b) = ~~0~~

(c) Sr = ~~0~~

(d) S~~0~~ = 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) 90 ^{0}**

(b) 0^{0}

(c) 45^{0}

(d) 60^{0}

*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) 45^{0}

**(b) 9 ^{0}**

(c) 60^{0}

(d) 180^{0}

*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/s ^{2} **

(b) rad/s

(c) rad.s^{2}

(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) [T ^{2}]**

(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) v^{2}r

(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 m ^{2}/s **

(b) kg m^{2}/s^{2}

(c) kg^{2} m/s

(d) kg m/s

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

(a) [M^{2} LT^{-1}]

(b) [M^{2}L^{2}T]

(c) [ML^{2}T^{2}]

**(d) [ML ^{2}T^{-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) 60^{0}

(b) 45^{0}

(c) 0^{0}

**(d) 90 ^{0}**

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

**(a) mr ^{2}) **

(b) rn^{2}

(c) m

(d) m^{2}r^{22}

*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 = mr ^{2} **

(b) I = mr

(c) rn^{2}r

(d) I = m^{2}r^{2}

*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 = mL ^{2} **

(b) I = mr^{2}

(c) I = mr^{2}

(d) I = mr^{2}

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

(a) I = mr^{2}

**(b) I = mr ^{2}**

(c) I = mr^{2}

(d) I = mr^{2}

*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) kgm^{3}

(b) kgm

**(c) kgm ^{2} **

(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) mr ^{2}**

(b) mr^{-3}

(c) mr^{2}

(d) mr^{2}

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

(a) mr^{2}

(b) mr^{-3}

**(c) mr ^{2}**

(d) mr^{2}

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

**(a) [ML ^{2} ] **

(b) [ML^{-2}]

(c) [ML^{-1}]

(d) [M^{2}L]

*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) mv^{2}

**(b) mv ^{2}**

(c) mv^{2}

(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 10 ^{4} km **

(b) 3.23 x 10^{4} km

(c) 4.23 x 10^{3} 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 = 1*^{0}* then what is value of S choose which one is correct:*

**(a) 0.01745 m**

(b) 1 m

(c) 2 m

(d) none