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Q.

A body of mass m slides down an incline (without friction) and reaches the bottom with a velocity v. If the same mass were in the form of a ring which rolls down(without slipping) this incline, the velocity of the ring at bottom would have been

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a

v

b

2v

c

v2

d

(25)v

answer is C.

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Detailed Solution

v = 2gh   ------(i)For second case: 12mv'2+12Iω2 = mgh(ω = v'r, I = mr2)⇒ v' = gh   -------(2)from (1) and (2) v' = v2
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A body of mass m slides down an incline (without friction) and reaches the bottom with a velocity v. If the same mass were in the form of a ring which rolls down(without slipping) this incline, the velocity of the ring at bottom would have been