A source $(S)$ of sound has frequency $240 \ Hz$. When the observer $(O)$ and the source move towards each other at a speed $v$ with respect to the ground (as shown in Case $1$ in the figure), the observer measures the frequency of the sound to be $288 \ Hz$. However, when the observer and the source move away from each other at the same speed $v$ with respect to the ground (as shown in Case $2$ in the figure), the observer measures the frequency of sound to be $n Hz$. The value of $n$ is. . . . . .
  • A$200$
  • B$400$
  • C$500$
  • D$600$
IIT 2024, Advanced
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