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A sphere a ring and a disc of same mass ...

A sphere a ring and a disc of same mass and radius are allowed to roll down three similar sufficiently rough inclined planes as shown in the figure from same height.

Which of the follwing order is true for final `KE` of the bodies?

A

Solid sphere reaches the bottom with minimum K.E.

B

Disc reaches the bottom with minimum K.E.

C

Hollow sphere reaches the bottom with minimum K.E.

D

All three objects reach the bottom with same K.E.

Text Solution

Verified by Experts

Since it is a case of pure rolling hence total mechanical energy remains constant. All the objects are released from the same height h (say), then all will reach the bottom with kinetic energy mgh. Hence option (d) is correct.
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MODERN PUBLICATION-SYSTEMS OF PARTICLES AND ROTATIONAL MOTION-COMPETITION FILE (OBJECTIVE TYPE QUESTIONS (MULTIPLE CHOICE QUESTIONS) (MULTIPLE CHOICE QUESTIONS WITH ONLY ONE CORRECT ANSWER) )
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