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  4. A sound source (S) emits frequency of 180 Hz when moving with velocity 5 m / s towards a moving wall moving with same speed as of source and a stationary observer (O) hears the sound. The situation is shown in the diagram. Find the number of beats per second heared by the observer. (Speed of sound =340 m / s )

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Q. A sound source $(S)$ emits frequency of $180 \,Hz$ when moving with velocity $5\, m / s$ towards a moving wall moving with same speed as of source and a stationary observer $(O)$ hears the sound. The situation is shown in the diagram. Find the number of beats per second heared by the observer. (Speed of sound $=340 \,m / s$ )Physics Question Image

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Solution:

Direct frequency received by $O\left(f_{1}\right)=\left(\frac{v-v_{1}}{v}\right) f$
frequency received by wall $=f$ (No relative motion between $S$ and wall)
frequency received by $O$ from wall $\left(f_{2}\right)=\left(\frac{v-v_{1}}{v}\right) f$ beat frequency $=\left|f_{1}-f_{2}\right|=0$

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