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A solid sphere rolls down an inclined pl...

A solid sphere rolls down an inclined plane and its velocity at the bottom is `v_(1)`. Then same sphere slides down the plane (without friction) and let its velocity at the bottom be `v_(2)`. Which of the following relation is correct

A

`v_(1)=v_(2)`

B

`v_(1)= (5)/(7) v_(2)`

C

`v_(1)= (7)/(5) v_(2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
When solid sphere rolls down an inclined plane the velocity at bottom `v_(1)= sqrt((10)/(7)gh)`
but, if there is no friction then it slides on inclined plane and the velocity at bottom `v_(2)= sqrt(2gh)`
`therefore (v_(1))/(v_(2))= sqrt((5)/(7))`
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