An air column vibrates in a pipe closed at one end in its third overtone due to a tuning fork of frequency 595 Hz. Po is the mean pressure at any point in the pipe and ΔPo is the maximum amplitude of pressure variation. Speed of sound in air is 340 m/s and end correction has a negligible effect. If the amplitude of pressure variation at the middle of the pipe is ΔPo√n, then n is:
[Given cos(595π340)=1√2 ]