Calculate the velocity of sound in a gas in which two waves of wavelength 50 cm and 50.5cm, produce 6 beats per second.

Explanation

The velocity of sound `v=n lambda`
Let the frequencies of the two sound waves be `n_(1) and n_(2)`
`n_(1)=v/(lambda_1)=v/(50)`
`n_2=v/lambda_2=(v)/(50.5)`
`n_1-n_2=6`
`v/(50)-v/(50.5)=6`
`v[(50.5-50)/(50 xx 50.5)]=6`
`v=(6 xx 50 xx 50.5)/(0.5)=30300cm//s=303m//s`