A boy runs on a circular track of radius \( R \) (in \( \mathrm{km}...
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A boy runs on a circular track of radius \( R \) (in \( \mathrm{km} \) ) with
\( \mathrm{P} \) speed of \( \frac{\pi R}{2} \mathrm{~km} / \mathrm{h} \) in clockwise sense for \( 3 \mathrm{~h} \) and then
W \( \pi R \mathrm{~km} / \mathrm{h} \) in anticlockwise sense for \( 1 \mathrm{~h} \). The magnitude of his displacement will be
(1) \( \frac{\pi R}{2} \)
(2) \( \frac{R}{\sqrt{2}} \)
(3) \( \frac{3 \pi R}{2} \)
(4) \( \sqrt{2} R \)
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