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An aeroplane is to go along straight line from A to B, and back again. The relative speed with respect to wind is V. The wind blows perpendicular to line AB with speed v. The distance between A and B is l. The total time for the round trip is:

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a

2lV2−v2

b

2vlV2−v2

c

2VlV2−v2

d

2lV2+v2

answer is A.

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Detailed Solution

For no drift: Vsin⁡θ=vsin⁡θ=vV ∴ t=tAB+tBAt=2ℓVcos⁡θ=2ℓV1−v2V2⇒t=2ℓV2−v2
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