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An open organ pipe of length $24 c m$ and an organ pipe closed at one end of length 38 cm have the same diameter. It is found that the $1^{s t}$ overtone of closed pipe is in unison with the fundamental of the open pipe. The velocity of sound in air is $340 m s^{- 1} .$ Choose the CORRECT statement(s)

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The end-correction at each open end is $1 c m$

The fundamental frequency of the open pipe is nearly $654 H z$

The frequency of $2^{n d}$ harmonic of open pipe will be twice its fundamental frequency

The frequency of $2^{n d}$ harmonic of open pipe will be less than twice its fundamental frequency.

answer is A, B, C.

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Detailed Solution

For open organ pipe $f = \frac{n v}{2 L}$ & for closed $f = \frac{(2 n + 1)}{4 L}$

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