What are Harmonics and Overtones? How are they formed in an open pipe? Derive the eqautions for the frequencies of the harmonic produced in an open pipe.

Give the relationship between the fundamental note and overtone in an open pipe.

Write down the expression for the nth harmonic in (i) closed pipe (ii) an open pipe.

Derive an equation for the first mode of vibration of an air column in an open organ pipe.

An open and a closed pipe have same length ratio of frequencies of their nth overtone is

At the open end of organ pipe

An open organ pipe and closed pipe have same length. The ratio of frequencies of their n^(th) over tone is

An open organ pipe and closed pipe have same length. The ratio of frequencies of their n^(th) over tone is

Two narrow cylindrical pipes A and B have the same length. Pipe A is open at both ends and is filled with a monoatomic gas of molar mass M_(A) . Pipe B is open at one end and closed at the other end, and is filled with a diatomic gas of molar mass M_(B) . Both gases are at the same temperature. (a) If the frequency of the second harmonic of the fundamental mode in pipe A is equal to the frequency of the third harmonic of the fundamental mode in pipe B , determine the value of M_(B)//M_(B) . (b) Now the open end of pipe B is also closed (so that the pipe is closed at both ends). Find the ratio of the fundamental frequency in pipe A to that in pipe B .

What should be the ratio of the lengths of a closed pipe and an open pipe, so that the frequency of their First overtones are the same.

First overtone frequency of a closed organ pipe is equal to the first overtone frequency of an open organ pipe. Further nth harmonic of closed organ pipe is also equal to the mth harmonic of open pipe, where n and m are (A)5,4 (B)7,5 (C)9,6 (D)7,3