Comprehension for Q. 47 and 48: The difference in frequencies between the 3rd overtone of a closed pipe and the 5th harmonic of the same pipe is 400 Hz. Further, the 3rd harmonic of this closed pipe i

Question

Comprehension for Q. 47 and 48: The difference in frequencies between the 3rd overtone of a closed pipe and the 5th harmonic of the same pipe is 400 Hz. Further, the 3rd harmonic of this closed pipe is equal to the 6th harmonic of another organ pipe. The fundamental frequencies of the closed pipe and the open pipe are:

TestHub · Accepted Answer

A closed pipe has odd harmonics f , 3 f , 5 f , 7 f . The 3rd overtone is 7 f and the 5th harmonic is 5 f , so 2 f = 400 and f = 200 Hz. Its 3rd harmonic is 600 Hz. The other pipe is open with 6 f ′ = 600 , so f ′ = 100 Hz.

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