In a resonance tube experiment t determine the speed of sound in air, a pipe of diameter `5 cm` is used. The air column in pipe resonates with a tuning fork of frequency `480 Hz` when the minimum length of the air column is `16 cm`. If the speed of sound in air at room temperature `= 6eta` (in `m//sec`). Find `eta`

Options

A. 330 m/s
B. 332 m/s
C. 334 m/s
D. 336 m/s

Answer

D

Explanation

For a resonance tube, `n = v/(4(l + 0.3d))`
`:. v = 4n (l + 0.3) d`
` = 4 xx 480 [0.16 + 0.3 xx 5 xx 10^(-2)]`
` = 4 xx 480 xx 0.175 = 336` m/s