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An inclined plane makes an angle 30^(@) ...

An inclined plane makes an angle `30^(@)` with the horizontal. A groove (OA) of length 5m cut in the plane makes an angle `30^(@)` with OX. A short smooth cylinder is free to slide down under the influence of gravity. The time taken by the cylinder to reach from A to O is `(g=10ms^(-2))`.

A

`4s`

B

`2s`

C

`3s`

D

`1s`

Text Solution

Verified by Experts

The correct Answer is:
B
Acceleration of the cylinder down the plane is
`a = (g sin theta_(1))(sin theta_(2)), t = sqrt((2s)/(a))` .
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