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Q.

A block is placed over a plank which in turn is placed on a smooth level horizontal    surface. The coefficient of friction between the block and plank is 0.2. Initially    both are at rest, suddenly the plank starts moving with accelerations a= 4ms-2. The    displacement of the block in 1sec is (g=10 m/s2).

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a

2m relative to ground

b

2m relative to plank

c

1m relative to plank

d

3m relative to ground

answer is C.

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Detailed Solution

pseudo force acting on the block ma and frictional force is μmg net force backward direction w.r.t plank is  ma-μg =ma' a'=4-0.2x10 =2ms-2 displacement w.r.t to plank is 12212= 1m
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