Two sound waves of wavelength `1 m` and `1.01 m` in a gas produce `10` beats in `3`s. The velocity of sound in the gas is

Options

A. 332 m/s
B. 336.7 m/s
C. 83 m/s
D. 166 m/s

Answer

B

Explanation

`n_(1) - n_(2) = (10)/(3) :. (v)/(lamda_(1)) - (v)/(lamda_(2)) = (10)/(3)`
`v[(1)/(1) - (1)/(1.01)] = (10)/(3)`
`v = (10 xx 3.01)/( 3 xx 0.01) = (1010)/(3) = 336.7 m//s`