A sound wave whose frequency is 5000 Hz travels in air and then hits the water surface. The ratio of its wavelength in water and air is

Options

A. `4.30`
B. `0.23`
C. `5.30`
D. `1.23`

Answer

A

Explanation

Frequency `=5000 Hz`
Speed of sound in air `v_("air")=332 m//s`
Speed of sound in water `v_("water")=1450 m//s`
Wavelength of sound in air `lambda_("air")=(332)/(5000)`
`=66.4xx10^(-3)m`
Wavelength of sound in water `lambda_("water")= (1450)/(5000)`
`=290xx10^(-3)m`
`(lambda_("water"))/(lambda_("air"))=(290xx10^(-3))/(66.4xx10^(-3))=4.367`