Two air columns of resonance appatus, 100cm and 101 cm long give 17 beats in 20 second, when each is sounding its fundamental mode. Calculate the velocity of sound.

Explanation

Here, `l_(1)=100cm, l_(2)=101cm, m=(17)/(20)`
As `m=v_(1)-v_(2)`
`(17)/(20)=(upsilon)/(4l_(1))=(upsilon)/(4l_(2))=(upsilon)/(4)[(1)/(100)-(1)/(101)]=(upsilon)/(400xx101)`
`upsilon=(17xx400xx101)/(20)cm//s=34340cm//s`
`=343.4m//s`