A 400 Hz vibrating source produces a standing wave pattern in a 1.5 m string that contains two antinodes. When the same string is simply plucked so that it vibrates in its fundamental mode, it generates a fundamental standing wave pattern in a closed pipe when the length of the pipe is 0.27 m.
a) Determine the wave speed on the string.
b) Determine the speed of sound from the data given.
c) If the string continues to vibrate in its fundamental mode, how much must the pipe be lengthened to generate the next standing wave pattern?