Two tuning forks of frequency 320 Hz and 330 Hz, produce sound waves in air. What is the velocity of sound in air if the wavelengths of sound waves differ by 3.22 cm ?

Options

A. 320 m/s
B. 340 m/s
C. 360 m/s
D. 310 m/s

Answer

B

Explanation

`lamda_(1) = (V)/(n_(1)) and lamda_(2) = (V)/(n_(2)) :' n_(1) lt n_(2) lamda_(1) gt lamda_(2)`
`:. Lamda_(1) - lamda_(2) = V [(1)/(320) - (1)/(330)]`
`:. 3.22 xx 10^(-2) = V [(10)/(320 xx 330)]`
`:. V = 3.22 xx 10^(-2) xx 32 xx 330 = 340 m//s`