$A$ sound source is moving on a circular path of radius $R$ with constant angular speed $\omega$ in an anticlockwise direction and emits a frequency $n$. An observer performs simple harmonic motion along the path $QPR$ with time period $T = \frac{2\pi}{\omega}$ as shown in the figure. If at $t = 0$ the source is at $A$ and the observer is at $Q$,and assuming $OP$ is very large compared to the radius $R$ and $QP$,then:

  • A
    Observer will hear maximum frequency at $P$ if source is at $B$
  • B
    Observer will hear maximum frequency at $P$ if source is at $D$
  • C
    Observer will hear maximum frequency at $Q$ if source is at $B$
  • D
    Observer will hear maximum frequency at $Q$ if source is at $D$

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