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A source \( (S) \) emitting sound of frequency \( f_{0}=960 \mathrm{~Hz} \) is projected with velocity \( 10 \sqrt{2} \mathrm{~ms}^{-1} \) at an angle \( \theta=45^{\circ} \) with the horizontal. Simultaneously, a detector \( (O) \) is projected vertically upwards with a speed \( 10 \mathrm{~ms}^{-1} \). There is no wind and speed of sound in air is \( 310 \mathrm{~ms}^{-1} \). After the source and detector fall to the ground, they come to rest. (Take, \( g=10 \mathrm{~ms}^{-2} \) )

The graph of apparent frequency \( \left(f^{\prime}\right) \) versus time \( (t) \) is best represented by (for time \( 0 \leq t \leq 2 \mathrm{~s} \) )
(a)
(b)
(c)
(d)
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