The end of a stopped pipe is to be cut off so that the pipe will be open. If the stopped pipe has a total length L, what fraction of L should be cut off so that the fundamental mode of the resulting open pipe has the same frequency as the fifth harmonic (n = 5) of the original stopped pipe?
Express your answer in terms of L.

The speed of sound in ice, water, and steam is shown. what best explains the speed of sound in different states of matter? sound travels fastest in ice because energy is easier to transfer when the molecules are close together. sound travels slowest in steam because the sound has to move around the gas molecules that are far apart. sound travels fastest in ice because the temperature of solids is always greater, so the heat transfers the sound energy. sound travels slowest in steam because the pressure is so great the sound cannot travel though the steam particles.