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JIPMER 2006
Exam
JIPMER
Year
2006
Subject
Physics
Chapter
Motion in Two Dimensions

JIPMER 2006 · Physics · Motion in Two Dimensions

A river is flowing from west to east with a speed of 5 ~m / min . A...

A river is flowing from west to east with a speed of 5 m/min5 \mathrm{~m} / \mathrm{min}. A man can swim in still water with a velocity 10 m/min10 \mathrm{~m} / \mathrm{min}. In which direction should the man swim so, as to take the shortest possible path to go to the south?A river is flowing from west to east with a speed of 5 ~m / min . A man can swim in still water with a velocity 10 ~m /

Options

  1. A30∘30^{\circ} east of south
  2. B60∘60^{\circ} east of south
  3. C60∘60^{\circ} west of south
  4. D30∘30^{\circ} west of north

Correct answer

A. 30∘30^{\circ} east of south

Step-by-step solution

Let the swimmer swims at an angle θ\theta with the vertical. A river is flowing from west to east with a speed of 5 ~m / min . A man can swim in still water with a velocity 10 ~m / ∴sin⁡θ=vrvs=510=12=sin⁡30∘θ=30∘\begin{aligned} \therefore \quad \sin \theta & =\frac{v_r}{v_s}=\frac{5}{10}=\frac{1}{2}=\sin 30^{\circ} \\ \theta & =30^{\circ}\end{aligned} The swimmer should swim 30∘30^{\circ} east of south to take the shortest possible path to go to the south.
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