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A Wodden plank of mass "m" and dimensions L*B floats over a very shallow river of thickness"T" and vicosity "η" . at t=0 the speed of plank is v.a car is at rest on the bank at this instant the plank is adjacent to the car which starts to move with a constant acceleration.if after sometime when the speed of the plank is v/2 the car catches up with the plank(the car moves with a constant acceleration)find the speed of the car at this instant when the car is crossing the plank. (A)3v/2 (B)vηLB/2T (C)v/ln2 (D)3v/4

A Wodden plank of mass "m" and dimensions L*B floats over a very shallow river of thickness"T" and  vicosity "η" . at t=0 the speed of plank is v.a car is at rest on the bank at this instant the plank is adjacent to the car which starts to move with a constant acceleration.if after sometime when the speed of the plank is v/2 the car catches up with the plank(the car moves with a constant acceleration)find the speed of the car at this instant when the car is crossing the plank.


(A)3v/2


(B)vηLB/2T


(C)v/ln2


(D)3v/4

Grade:11

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