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Two tuning forks with natural frequencie...

Two tuning forks with natural frequencies of `340 Hz` each move relative to a stationary observer. One fork moves away form the observer, while the other moves towards him at the same speed. The observer hears beats of frequency `3 Hz`. Find the speed of the tuning fork.

A

`0.4 m//s`

B

`2.8 m//s`

C

`4.2 m//s`

D

`1/5 m//s`

Text Solution

Verified by Experts

The correct Answer is:
D
`f_1 = (v f_0)/(v - v_s)`
`f_2 = (v. f_0)/(v + v_s)`
`f_1 - f_1 = 3 = (2 . V. v_s - f_0)/(v^2 - v_s^2)`
`implies v_s = 1.5 m//s`
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