Two closed - end pipes , when sounded together produce ` 5 beats//s`. If their lengths are in the ratio `100 : 101` , then fundamental notes ( in Hz) produced by them are

Options

A. `245 , 250`
B. `250 , 255`
C. `495 ,500`
D. `500 , 505`.

Answer

D

Explanation

`(f_(1))/(f_(2)) = (101)/(100)`
`f_(1) - f_(2) = 5`
`(101)/(100) f_(2) - f_(2) = 5 or f_(2) = 500 Hz`
and
`f_(1) = f_(2) + 5 = 505 Hz`