A pipe of lengh `1m` is closed at one end. The velocity sound in air is `300m//s`. The air column in the pipe will not resonate for sound of frequency

Options

A. 75 Hz
B. 225 Hz
C. 300 Hz
D. 375 Hz

Answer

C

Explanation

The pipe will resonate for `L=(2n-1)(lambda)/(4)`
where, n = 1, 2, 3,…..
Frequency, `upsilon=(v)/(lambda)=(v(2n-1))/(4L)=(300(2n-1))/(4xx1)`
The pipe will resonante for frequencies 75 Hz, 225 Hz, 375 Hz, and so on. But it will not resonante with frequency 300 Hz.