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Q.

A man is trying to cross a river flowing at a speed of 5 ms−1 to have least possible displacement by swimming at an angle of 143°  to the stream. The drift he suffers when he is crossing the same river in least possible time is (Width of river = 1 km)

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a

160 m

b

800 m

c

400 m

d

200 m

answer is B.

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Detailed Solution

vR=5 m/s

θ=53°

ω=1000 m

sinθ=vRvMR

sin53°=5vMR

vMR=254

=vR×ωvMR

=5×1000×425

=800 m

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