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If a hollow cylinder and a solid cylinde...

If a hollow cylinder and a solid cylinder are allowed to roll down an inclined plane, which will take more time to reach the bottom?

A

Hollow cylinder

B

Solid cylinder

C

Same for both

D

One whose density is more

Text Solution

Verified by Experts

The correct Answer is:
A

`t prop sqrt(1+ (K^(2))/(R^(2))) rArr ((K^(2))/(R^(2)))_("solid cylinder") lt ((K^(2))/(R^(2)))_("hollow cylinder")`
`rArr t_("solid cylinder ") lt t_("hollow cylinder")`
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