If the fundamental frequency of an organ pipe is 150Hz, what is the frequency of
(a) 2nd harmonic if it is closed at one end,
(b) second harmonic if it is open at one end,
(c) second overtone if it is closed at one end,
(d) second overtone if it is open at both ends.

Explanation

(a) In a pipe closed at one end, second harmonic does not exist.
(b) `v_(2)=2v_(1)=2xx150=300Hz`
(c) In a pipe closed at one end, second overtone has freq. `=5v_(1)=5xx150=750Hz`
(d) In an open pipe, 2nd overtone is 3rd harmonic of freq.`=3v_(1)=3xx150=450Hz`