The third harmonic of an open pipe is in resonance with a tuning fork of frequency 495 Hz. What is the lenngth of the open pipe if the velocity of sound in air is 330 m/s?
( neglect the end correction )

Options

A. `0.5` m
B. `0.75` m
C. 1 m
D. `1.2` m

Answer

C

Explanation

The third harmoic of an open pipe ` = 3n_(o) = (3v)/(2L) `
`:. 495 = (3v)/(2L) = (3 xx 330)/(2 xx L) = (3 xx 165)/L `
` :. L = (3 xx 165)/495 = 1 ` m