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, \( g=10 \mathrm{~ms}^{-2} \) )
Suppose the source and detector are projected horizontally in opposite direction from the top of a tower as shown in the figure. Then, choose the correct options.
(a) The apparent frequency received by the detector will be constant till the source and the detector fall on to the ground
(b) The apparent frequency received by detector will continuously decrease till the sound and detector fall on to the ground
(c) The apparent frequency must be same as the frequency emitted by the source at least once during the complete journey
(d) The apparent frequency received by the detector will continuously increase till the source and detector fall on to the ground
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