Harmonics and Overtones

A standing wave is produced in a tube open at both ends. The fundamental frequency is $300 \mathrm{Hz}$. What is the length of tube? (speed of  the sound $= 340 \mathrm{m} {\mathrm{s}}^{-1}$).

A violin string vibrates with fundamental frequency of $440 \mathrm{Hz}$. What are the frequencies of first and second overtones?

Find the fundamental, first overtone and second overtone frequencies of a pipe, open at both the ends, of length $25 \mathrm{cm}$ if the speed of sound in air is $330 \mathrm{m}/\mathrm{s}$.

A pipe closed at one end can produce overtones at frequencies $640 \mathrm{Hz}, 896 \mathrm{Hz}$ and $1152 \mathrm{Hz}$. Calculate the fundamental frequency. 

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.

What are harmonics and overtones?

A string is fixed at the two ends and is vibrating in its fundamental mode. It is known that the two ends will be at rest. Apart from these, is there any position on the string which can be touched so as not to disturb the motion of the string? What will be the answer to this question if the string is vibrating in its first and second overtones?

A standing wave is produced on a string fixed at one end with the other end free. The length of the string 

When an air column in a pipe closed at one end vibrates such that three nodes are formed in it, the frequency of its vibrations is _____times the fundamental frequency.