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Q.

A particle moves with constant angular velocity in circular path of certain radius and is acted upon by a certain centripetal force F. If the angular velocity is doubled, keeping radius the same, the new force will be

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a

2F

b

F2

c

4F

d

F/2

answer is C.

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Detailed Solution

F = m{omega ^2}Rtherefore F propto {omega ^2}      (m and R are constant)

If angular velocity is doubled force will become four times

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A particle moves with constant angular velocity in circular path of certain radius and is acted upon by a certain centripetal force F. If the angular velocity is doubled, keeping radius the same, the new force will be