A source of frequency 10kHz when viberted over than mouth of a closed organ is in unison at 300K. The beats produced when temperature rises by 1K

Options

A. `30 Hz`
B. `13.33 Hz`
C. `16.67 Hz`
D. `40 Hz`

Answer

C

Explanation

Initially frequency of vibration of closed organ pipe `= 10 kHz`.
`f=(v)/(4l) = (sqrt(gammaRT//M))/(4l)`
or `f prop sqrt(T)`
`(f')/(f)sqrt((T')/(T))=(1+1/300)^(1//2) ~~ 1+1/600`
on `f' = f(1+1/600)`
or `Deltaf = f' - f = (f)/(600)`
`= (10 xx 10^(3))/(600) = 16.67 Hz`
`:.` Number of beats produced `= 16.67 Hz`