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Question

A musician using an open flute of length 50 cm produces second harmonic sound waves. A person runs towards the musician from another end of a hall at a speed of 10 km/h. If the wave speed is 330 m/s, the frequency heard by the running person shall be close to :

A
753 Hz
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B
500 Hz
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C
333 Hz
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D
666 Hz
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Solution

The correct option is C 666 Hz
Frequency of the sound produced by flute,
f=2(v2)=2×3302×0.5=660Hz
Velocity of observer, v0=10×518=259m/s
frequency detected by observer, f=[v+v0v]f
f=⎢ ⎢ ⎢259+330330⎥ ⎥ ⎥660
=335.56×2666
closest answer is (4)

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