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Question (1)
QN0034935

Centripetal acceleration is

  • (A)

    a constant vector

  • (B)

    a constant scalar

  • (C)

    a magnitude changing vector

  • (D)

    not a constant vector

Correct Answer: D
Explanation:

Centripetal acceleration,

Where  is the speed of an object and  is the radius of the circle. It is always directed towards the centre of the circle. Since  and  are constants for a given uniform circular motions, therefore the magnitude of centripetal acceleration is also constant. However, the direction of centripetal acceleration changes continuously. Therefore, a centripetal acceleration is not a constant vector.

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Question (2)
QN0034936

Two stones are moving with same angular speeds in the radii of circular paths  and . The ratio of their linear speed is ...X.... Here,  refers to 

  • (A)

    2

  • (B)

  • (C)

  • (D)

    3

Correct Answer: B
Explanation:

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Question (3)
QN0034937

The direction of the angular velocity vector is along

  • (A)

    the tangent to the circular path

  • (B)

    the inward radius

  • (C)

    the outward radius

  • (D)

    the axis of rotation

Correct Answer: D
Explanation:

As linear velocity vector  is along the tangent to the circular path and angular velocity vector  is perpendicular to , so  is along the axis of rotation.

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Question (4)
QN0034938
  1. Two particles A, B are moving on two concentric circles of radii  and  with equal angular speed . At , their positions and direction of motion are shown in the figure:             

The relative velocity at  is given by:

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: C
Explanation:

From,

So, both have completed quater circle

Relative velocity,

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Question (5)
QN0034939

In uniform circular motion

  • (A)

    both velocity and acceleration are constant 

  • (B)

    acceleration and speed are constant but velocity changes

  • (C)

    both acceleration and velocity change

  • (D)

    both acceleration and speed are constant

Correct Answer: C
Explanation:

In circular motion with constant speed, acceleration is always inward, its magnitude is constant but direction changes, hence acceleration changes, so does velocity. K.E. is constant.

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Question (6)
QN0034940

A body is moving with a constant speed  in a circle of radius . Its angular acceleration is 

  • (A)

  • (B)

  • (C)

    zero

  • (D)

Correct Answer: C
Explanation:

Since the circular motion is uniform, therfore there is no change of angular velocity. Thus angular acceleration is zero.

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Question (7)
QN0034941

A stone of mass  is tied to a string of length  and rotated in a circle with a constant speed , if the string is released the stone flies          

  • (A)

    radially outward

  • (B)

    radially inward

  • (C)

    tangentially outward

     

  • (D)

    with an acceleration 

Correct Answer: C
Explanation:

In uniform circular motion, the body move with  (tangential velocity) & . If  then it implies that the body is no longer bound to rotate in circle & so no change in the direction of velocity. Hence it move tangentially to the circle outward with velocity .

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Question (8)
QN0034942

Two bodies are moving in concentric orbits of radii  and  such that their time periods are the same. The ratio of their centripetal accelerations is :

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: A
Explanation:

As time periods are same and so

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