Wave Mechanics Question 684

Question: A sound source emits frequency of 180 Hz when moving towards a rigid wall with speed 5 m/s and an observer is moving away from wall with speed 5 m/s. Both source and observer moves on a straight line which is perpendicular to the wall. The number of beats per second heard by the observer will be

[Speed of sound = 355 m/s]

Options:

A) 5 beats/s

B) 10 beats/s

C) 6 beats/s

D) 8 beats/s

Show Answer

Answer:

Correct Answer: A

Solution:

[a] Frequency heard by observer directly coming from source $ =\frac{355-5}{355+5}\times 180=175 $

$ Hz.,f _{2}\to $ frequency heard by observer after reflection $ =[ \frac{355}{355-5}\times ][ \frac{355-5}{355} ]\times 180=180Hz $

$ f _{2}-f _{1}=5,Hz $