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Q.

A block is placed on an inclined plane moving towards right horizontally with an acceleration a0 = g. The length of the plane AC = 1m. Friction is absent everywhere. The time taken by the block to reach from C to A is (g = 10 m/s2)

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a

1.2 s

b

2.56 s

c

0.42 s

d

0.74 s

answer is B.

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Detailed Solution

Drawing free body diagram of block with respect to plane.

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Acceleration of the block up the plane is

a=mgcos⁡30∘−mgsin⁡30∘m=3−12g=3.66m/s2

Applying s=12at2                t=2sa=2×13.66=0.74s

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