A certain wind chime is a hollow pipe 0.8 m long and 0.025 m in diameter, and it is suspended by a string about 0.2 m from the top, about one-fourth way down (see figure). A hammer hits the chime about one-half way down. The note that the chime plays is a D at 262 Hz.
The ends are free to vibrate, so they are antinodes. The place where the hammer strikes also vibrates, but the place where the string connects is not free to vibrate.
For the following use 343m/s for the speed of sound in air.
How would the frequency change if the length of the pipe were doubled, and the velocity of sound in the pipe stayed the same?