AIIMS2019Physics-Waves

AIIMS 2019 Physics Doppler Effect MCQ Question

Type: MCQ-conceptual-Medium-Class 11

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, F1=F2=500 Hz\text{F1} = \text{F2} = 500\text{ Hz}. speed of air =330 m/s= 330\text{ m/s}

Question diagram
A

1 m/s

B

2 m/s

C

3 m/s

D

4 m/s

Correct Answer

Option A

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 v=fλv = f \lambda (where λ\lambda 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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