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An inclined plane makes an angle 30° with the horizontal. A groove (OA) of length 5 m 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 $(g = 10 m / s^{2})$

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4 s

2 s

3 s

1 s

answer is B.

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Detailed Solution

Acceleration of the cylinder down the plane is
$a = (gsin θ_{1}) (\sin θ_{2}); t = \sqrt{\frac{2 s}{a}}$

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