PhysicsTwo sources A and B are sounding notes of frequency 700 Hz. A listener moves from A to B with constant velocity u. If the speed of sound is 350 m/s, what must be the value of u so that 8 beat/s are heard ?

Two sources A and B are sounding notes of frequency 700 Hz. A listener moves from A to B with constant velocity u. If the speed of sound is 350 m/s, what must be the value of u so that 8 beat/s are heard ?

A
2 m/s
B
1.5 m/s
C
2.5 m/s
D
4 m/s

Solution:

$∆ n = 2 n \frac{v_{0}}{v}$

$8 = 2 \times 700 \times \frac{v_{0}}{350} \Rightarrow v_{0} = 2 {ms}^{- 1}$

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