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Q.

A body of mass 200g is tied to a spring constant 12.5 N/m, while the other end of spring is fixed at point O. If the body moves about O in a circular path on a smooth horizontal surface with constant angular speed 5 rad/s . Then the ratio of extension in the spring to its natural length will be :

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a

1 : 2

b

2 : 5

c

1 : 1

d

2 : 3

answer is D.

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Detailed Solution

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The required centripetal force is provided by the spring .

If 'l' is the length of the spring and the extension is given by 'e'

m(l+e)ω2=Ke200×103(l+e)25=252el+ee=104=52le=32el=23

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