In the context of standing waves describe what is meant by antinode.

In the context of standing waves describe what is meant by wave speed.

Describe how you would arrange for a string that is kept under tension, with both ends fixed, to vibrate in its second harmonic mode.

Draw the shape of a string when it is vibrating in its second harmonic mode.

A string held under tension and has a first harmonic frequency of $250 \mathrm{Hz}$. The tension in the string is changed so that the speed increases by $\sqrt{2}$. Predict the new frequency of the first harmonic.

A string has both ends fixed. Determine the ratio of the frequency of the second to that of the first harmonic.

Draw the standing wave representing the third harmonic standing wave in a tube with one closed and one open end.

A glass tube is closed at one end. The air column it contains has a length that can be varied between $0.50 \mathrm{m}$ and $1.50 \mathrm{m}$. A tuning fork of frequency $306 \mathrm{Hz}$ is sounded at the top of the tube. Predict the lengths of the air column at which loud sounds would be heard from the tube. (Take the speed of the sound to be $340 \mathrm{m} {\mathrm{s}}^{-1}$)

A glass tube with one end open and the other closed is used in an experiment to determine the speed of sound. A tuning fork of frequency $427 \mathrm{Hz}$ is used and a loud sound is heard when the air column has length equal to $20.0 \mathrm{cm}$. Calculate the speed of sound.