A closed pipe and an open pipe have their first overtones identical in frequency. Their lengths are in the ratio

Question

A closed pipe and an open pipe have their first overtones identical in frequency. Their lengths are in the ratio, 1 : 2, 2 : 3, 3 : 4, 4 : 5

MARKS App · Accepted Answer

If it is given that First overtone of closed pipe = First overtone of open pipe ⇒ 3 ( ν 4 l 1 ) = 2 ( ν 2 l 2 ) ; where l 1 and l 2 are the lengths of closed and open organ pipes hence l 1 l 2 = 3 4

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