AIIMS 2019 Physics Doppler Effect MCQ Question
Two sources of sound S1 and S2 are moving towards and away from a stationary observer with the same speed respectively. Observer detects 3 beats per second. Find speed of source (approximately). Given, . speed of air

1 m/s
2 m/s
3 m/s
4 m/s
Correct Answer
Detailed Explanation
When two sound sources produce beats, the beat frequency is equal to the absolute difference between their frequencies. In this case, the observer hears 3 beats/s, indicating that the frequency of source B (f_B) can be calculated as f_B = f_A ± 3 Hz, where f_A = 256 Hz. Thus, f_B could be either 259 Hz or 253 Hz. The speed of sound in air is approximately 343 m/s, and using the formula (where is the wavelength), we find that the difference in frequency (3 Hz) corresponds to a speed difference of 1 m/s, making option A correct. Other options are incorrect as they suggest larger speed differences that do not align with the observed beat frequency.
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