A stationary observer receives sound from two identical tuning...

A stationary observer receives sound from two identical tuning forks, one of which approaches and the other one recedes with the same speed (much less than the speed of sound). The observer hears

2beats / sec

. The oscillation frequency of each tuning fork is

{v}_{0} = 1400Hz

and the velocity of sound in air is

350m / s

. The speed of each tuning fork is close to: A stationary observer receives sound from two identical tuning forks, one of which approaches and the other one recedes

A stationary observer receives sound from two identical tuning forks, one of which approaches and the other one recedes

Options

A $\dfrac{1}{2}m / s$
B $1m / s$
C $\dfrac{1}{4}m / s$
D $\dfrac{1}{8}m / s$

Correct answer

C. $\dfrac{1}{4}m / s$

Step-by-step solution

{f}_{0}\left(\dfrac{C}{C - V}\right) - {f}_{0}\left(\dfrac{C}{C + V}\right) = 2

V = \dfrac{1}{4}m / s

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