A source (S) of sound has frequency 240 Hz. When the observer (O) and the source move towards each other at a speed 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 with respect to the ground (as shown in Case 2 in the figure), the observer measures the frequency of sound to be Hz. The value of is _____.

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Answer: 200
[JEE Advanced 2024 · Paper 1]