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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

2 s

C

3 s

D

1 s

Text Solution

Verified by Experts

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