A tuning fork vibrating with a frequency of 500 Hz is kept close to the open end of a tube filled with water, as shown in figure. The water level in the tube is gradually lowered When the water level is 17 cm below the open the open end, maximum intensity of sound is heard. If the room temperature is `20^(@)` C, the speed of sound in air at the temperature is

Options

A. `330ms^(-1)`
B. `340ms^(-1)`
C. `350ms^(-1)`
D. `360ms^(-1)`

Answer

B

Explanation

Here, `upsilon=500 Hz,L=17 cm=17xx10^(-2)m`
as `upsilon=v/(4L)`
`thereforev=upsilon(4L)=(500s^(-1))(4xx17xx10^(-2)m)=340ms^(-1)`