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Question

The length of two closed organ pipes are 0.750 m and 0.770 m. If they are sounded together, 3 beats per second are produced. The velocity of sound will be:

A
330.5 m/sec
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B
340.5 m/sec
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C
346.5 m/sec
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D
None of these
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Solution

The correct option is C 346.5 m/sec
For first closed organ pipe n1=V44=V4×0.75=V3.00=V3
For second closed organ pipe n2=V412=V4×0.77B
n1n2=3
V3V4×0.77=3
V3V3.08=3
V=3×3×3.080.08=346.5m/sec.

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