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Question

A student is experimenting with resonance tube apparatus in Physics lab to find the speed of sound at room temperature. He got resonating lengths of air column as 17 cm and 51 cm, using tuning fork of frequency 512 Hz. Find speed of sound at room temperature and specify, whether the side water reservoir was moved upward or downward to obtain the second resonance (51 cm)?

A
348 m/s, downwards
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B
348 m/s, upwards
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C
332 m/s, downwards
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D
332 m/s, upwards
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Solution

The correct option is A 348 m/s, downwards
For resonance in a resonance tube,
f1=v4l1
f2=3v4l2
f1=f2=512Hz
Thus v=4×f1×l1=4×512×0.17m/s=348m/s

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