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A detector is released from rest over a ...

A detector is released from rest over a source of sound of frequency `f_(o) = 10^(3) H_(Z)`. The frequency observer by the decector at time `t` is plotted in the graph. The speed of sound in air `(g = 10 m//s^(2))`

A

`330 m//s`

B

`350 m//s`

C

`300 m//s`

D

`310 m//s`

Text Solution

Verified by Experts

The correct Answer is:
C
`f = f_(o) ((nu + nu_(o))/(nu))`
`= 10^(3) (1 + (10 t)/(nu))` (as `nu_(o) = g t`)
Hence, `f` versus `t` graph is straight line of slope
`(10^(4))/(nu)`.
`:. (10^(4))/(nu) =` slope `= (100)/(3)`
`:. nu = 300 m//s`
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