If the air column in a pipe which is closed at one end, is in resonance with a vibrating turning fork at a frequency 60 Hz, then the length of the air column is (velocity of sound is 330m/s)

Options

A. 35.7 cm
B. 31.7 cm
C. 12.5 cm
D. 62.5 cm

Answer

B

Explanation

Frequency of the tuning fork,
`v=260Hz`
The fundamental freqeuncy off a closed organ pipe, `v=(v)/(4l)`
where, v is the velocity of sound in air.
therefore, length of air column (l)
`=(v)/(4(v))=(330)/(4xx260)`
`=0.317m=31.7cm`