Show that even as well as odd harmonics are present as overtone in modes of vibration of string

Prove that all harmonics are present in the vibrations of the air column in a pipe open at both ends.

Show that only odd harmonics are present in the vibrations of air column in a pipe closed at one end.

The harmonics which are present in a pipe open at one end are

Distinguish between harmonics and overtones. Find the fundamental and second overtone frequencies of a pipe open at both ends of length 25cm if the speed of sound in air is 330 m//s .

A vibrating string of certain length l under a tension T resonates with a mode corresponding to the first overtone (third harmonic) of an air column of length 75cm inside a tube closed at one end. The string also generates 4 beats per second when excited along with a tuning fork of frequency n . Now when the tension of the string is slightly increased the number of beats reduces 2 per second. Assuming the velocity of sound in air to be 340 m//s , the frequency n of the tuning fork in Hz is

An air column is of length 17cm long. Calculate the frequency of 5^(th) overtone if the air column is (a) closed at one end and (b) open at both ends. (velocity of sound in air =340ms^(-1) )

The length of pipe closed at one end and open at both ends is 32 cm each. The frequency of first overtone in a pipe closed at one end is 750 Hz . Calculate the frequency of first overtone in a pipe open at both ends.

In a long cylindrical tube , the water level is adjusted and the air column above it is made to vibrate in unison with a vibrating tuning fork kept at the open end . Maximum sound is heard when the air column lengths are equal to

Find the frequency of fifth overtone of an air column vibrating in a pipe closed at one end. Length of pipe is 42.10 cm 1on and speed of sound in air at room temperature is 350 m/s .