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Q.

The magnitdue of velcoity of water current in a river of width d varies across the river as V=u02y2d   and  u0 is velcity of man in still water,   is perpeniducalr distancee from one of the bank

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a

time taken  to reach opposite bank in shortest path is  πd3u0

b

time taken to reach opposite bank in shortest time is  du0

c

time taken to reach opposite bank  in shortest time is  πdu0

d

time taken to reach opposite bank in shortest path is  πd2u0

answer is A, B.

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Detailed Solution

sinθ=VrVbr=U0y(2d)U0;sinθ=y(2d) cosθdθ=dy(2d)  and  dydt=Vb=U0cosθ dydt=U0dy(2d)dθ

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