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Physics-

General

Easy

Question

A man crosses a river through shortest distance D as given in the figure. $stack V with rightwards arrow on top subscript R end subscript$ is velocity of water and $blank stack V with rightwards arrow on top subscript m end subscript blank$ is velocity of man in still river water. $blank stack V with rightwards arrow on top subscript m R end subscript$ is relative velocity of man w.r.t. river, then find the angle made by swimming man with the shortest distance AB

${t a n}^{- 1} \frac{V_{R}}{V_{m} - V_{H}}$
${t a n}^{- 1} \frac{V_{m}}{\sqrt{V_{R^{2}} - V_{m^{2}}}}$
$1 \frac{V_{k}}{\sqrt{{V_{m^{2}}}_{} - V_{R^{2}}}}$
${t a n}^{- 1} \frac{V_{R}}{\sqrt{V_{R^{2}}} - V_{m^{2}}}$

The correct answer is: $1 invisible function application fraction numerator V subscript k end subscript over denominator square root of V subscript m to the power of 2 end exponent end subscript subscript blank minus V subscript R to the power of 2 end exponent end subscript end root end fraction$

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