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Question

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


A

666Hz

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B

753Hz

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C

500Hz

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D

333Hz

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Solution

The correct option is A

666Hz


Step 1. Given data

Length of open flute, L=50cm=0.5m

Speed of person running, s=10km/h

Speed of sound wave, vs=330m/s

Step 2. Frequency heard by running person is

frequency of second harmonics sound produced by open flute,

f0=2×vs2L=2×3302×0.5=660Hz

speed of observer, s=10x(5/18)=259m/s

Frequency heard by running person is

f'=s+vssf0=259+330330×660=665.5666Hz

Hence, option A is correct


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