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Question

A resonance in air column of length 20cm resonates with a tuning fork of frequency 450Hz. Ignoring end correction, the velocity of sound in air is

A
1020m/s
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B
720m/s
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C
620m/s
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D
820m/s
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Solution

The correct option is B 720m/s
Let the air column be closed one. In closed organ pipe for fundamental node
of vibration, λ4=0.2λ=0.8m,
v=nλ
If we take the frequency of air column to be equal to tuning fork then,
v=450×0.8=360m/sec
If we take the frequency of air column to be twice that of tuning fork then
v=900×0.8=720m/sec

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