Two sources of sound $ S_{1} $ and $ S_{2} $ produce sound waves of same frequency $ 660 \mathrm{~Hz} $. A listener is moving from source $ S_{1} $ towards $ S_{2} $ with a constant speed $ \mathrm{u}_{0} \mathrm{~m} / \mathrm{s} $ and he hears $ 10 $ beats/s. The velocity of sound is $ 330 \mathrm{~m} / \mathrm{s} . $ Then, u $ _{0} $ equals:

Question

Two sources of sound $ S_{1} $ and $ S_{2} $ produce sound waves of same frequency $ 660 \mathrm{~Hz} $. A listener is moving from source $ S_{1} $ towards $ S_{2} $ with a constant speed $ \mathrm{u}_{0} \mathrm{~m} / \mathrm{s} $ and he hears $ 10 $ beats/s. The velocity of sound is $ 330 \mathrm{~m} / \mathrm{s} . $ Then, u $ _{0} $ equals:, $ 10.0 \mathrm{~m} / \mathrm{s} $, $ 2.5 \mathrm{~m} / \mathrm{s} $, $ 5.5 \mathrm{~m} / \mathrm{s} $, $ 15.0 \mathrm{~m} / \mathrm{s} $

MARKS App · Accepted Answer

Frequency observed from S 1 : f 1 = 660 330 - u 0 330 - 0 Frequency observed from S 2 : f 2 = 660 330 + u 0 330 - 0 As f 2 - f 1 = 10 660 330 + u 0 330 - 0 - 330 - u 0 330 - 0 = 10 2 2 u 0 = 10 u 0 = 2.5 m / s

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