A source of sound having frequency 300 Hz and a receiver are located along the same line normal to the wall as shown in the figure. Both the source and the receiver are stationary and the wall recedes from the source with a velocity of `20ms^(-1)`. If the beat frequency resgistered by the receiver is `(240)/(x)Hz`, then what is the value of x?
`["velocity of sound "="330 ms"^(-1)]`

Explanation

As , `f_1=f` (For direct sound)
Now, for reflected sound `f_2=((V-20)/(V+20))f`
If b is the beat frequency :
`therefore b=f_1-f_2`
`therefore f-((V-20)/(V+20))f =(f.40)/(v+20)`
=`(300.40)/350=240/7` Hz