A man of mass \( 50 \mathrm{~kg} \) is running on a plank of mass \( 150 \mathrm{~kg} \) with sp...

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A man of mass \( 50 \mathrm{~kg} \) is running on a plank of mass \( 150 \mathrm{~kg} \) with speed of \( 8 \mathrm{~m} / \mathrm{s} \) relative to plank as shown in the figure (both were initially at rest and the velocity of man with respect to ground any how remains constant). Plank is placed on smooth horizontal surface. The man, while running, whistles with frequency \( f_{0} . A \) detector \( (D) \) placed on plank detects frequency. The man jumps off with same velocity (w.r.t. to ground) from point \( D \) and slides on the smooth horizontal surface [Assume coefficient of friction between man and horizontal is zero]. The speed of sound in still medium is \( 330 \mathrm{~m} / \mathrm{s} \). Answer the following questions on the basis of above situations.

Choose the correct plot between the frequency detected by detector versus position of the man relative to detector.
(a)
Position of man relative to detector
Position of man relative to detector
(C)
(d)
Position of man relative to detector
Position of man relative to detector
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