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Q.

An inclined plane makes an angles 300 with the horizontal. A groove OA=5m cut in the plane makes an angle 300 with OX. A short smooth cylinder is free to slide down the influence of gravity. The time taken by the cylinder to reach from A to O is (g = 10 m/s2
 

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a

1s

b

4s

c

22s

d

2s

answer is B.

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Detailed Solution

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Component of ‘g’ along inclined plane is
g sin300.
Component of g along groove is
(gsin30°) sin30° = 2.5m/s2
Now OA = 1/2 (2.5)t2
5=12×2.5t2t=2 sec

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