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A man can row a boat in still water at a speed V. If the width of river is d and water is flowing due south at a speed V/2; then find the drift of the boat if the man rows the boat making an angle of $60^{o}$ with respect to north.

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zero

$\frac{d}{4}$

$\frac{d}{2 \sqrt{3}}$

$\frac{\sqrt{3} d}{4}$

answer is A.

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Detailed Solution

Time taken by the boat to cross the river, $t = \frac{d}{V \sin 60^{o}} = \frac{2 d}{\sqrt{3} V}$

$∴$ Drift produced $= (V \cos 60^{o} - \frac{V}{2}) \times t = zero$

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