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?