A bat emits ultrasonic sound of frequency `1000 kHz` in air . If the sound meets a water surface , it gets partially reflected back and partially refracted (transmitted) in water . What would be the difference of wavelength transmitted to wavelength reflected (speed of sound in air `= 330 m//s`, Bulk modulus of water ` = 2.25 xx 10^(9) , rho_(water) = 1000 kg//m^(3)`).

Options

A. `2.17 m`
B. `3.27 m`
C. `1.17 m`
D. `4.25 m`

Answer

C

Explanation

`lambda_(air) = (V_(air))/(f) = (330)/(1000) = 0.33 m`
`V_(water) = sqrt((beta)/( rho)) = sqrt(( 2.25 xx 10^(9))/(1000))`
` = 1.5 xx 10^(3) = 1500`
`lambda_(water) = (1500)/(1000) = 1.5 m`
`lambda_(water) - lambda_(air) = 1.5 - 0.33 = 1.17 m`