A sounding fork whose frequency is `256 Hz` is held over an empty measuring cylinder. The sound is faint , but if just the right amount of water is poured into the cyclinder , it becomes loud. If the optimal amount of water produce an air column of length `0.31 m`, then the speed of sound in air to a first approximation is

Options

A. `317 m//s`
B. `371 m//s`
C. `340 m//s`
D. `332 m//s`

Answer

A

Explanation

`f_(closed) = (v)/(4 l)`
`256 = (v)/( 4 (0.31))`
`v = 317.44 m//s`