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JEE Advanced · 2024 · 26 May 2024 · Paper 1 · Waves & Sound

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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 . The value of is ____.

Answer: 200

Solution

Using the Doppler effect formula: Case 1: , giving . Case 2: , giving . Multiplying the two equations: , yielding .

JEE Advanced · 2024 · 26 May 2024 · Paper 1 · Integer answer

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