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Question

A solid cylinder and a hollow cylinder, both of the same mass and same external diameter are released from the same height at the same time on an inclined plane. Both roll down without slipping. Which one will reach the bottom first ?

A
Both together only when angle of inclination of plane is 45o
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B
Both together
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C
Hollow cylinder
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D
Solid cylinder
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Solution

The correct option is B Solid cylinder
Time taken to reach the bottom of inclined plane
t=   2l(1+K2R2)gsinθ
Here, l is length of incline plane
For solid cylinder K2=R22
For hollow cylinder = K2=R2
Hence, solid cylinder will reach the bottom first.

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