The driver of a car travelling with a speed V | vedclass

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(C) Step $1$: The sound from the siren travels towards the wall. The wall acts as a stationary observer. The frequency $n_1$ received by the wall is g

Vedclass · Accepted Answer

$\left(\frac{V+V_1}{V-V_1}\right) n$

Vedclass · Answer

(C) Step $1$: The sound from the siren travels towards the wall. The wall acts as a stationary observer. The frequency $n_1$ received by the wall is given by the Doppler effect formula for a moving source and stationary observer: $n_1 = n \left( \frac{V}{V - V_1} \right)$.Step $2$: The wall reflects this sound. Now,the wall acts as a stationary source of frequency $n_1$,and the driver acts as an observer moving towards the wall with speed $V_1$. The frequency $n_2$ heard by the driver is given by: $n_2 = n_1 \left( \frac{V + V_1}{V} \right)$.Step $3$: Substituting the value of $n_1$ into the equation for $n_2$: $n_2 = \left( n \frac{V}{V - V_1} \right) \left( \frac{V + V_1}{V} \right) = n \left( \frac{V + V_1}{V - V_1} \right)$.

The driver of a car travelling with a speed $V_1 \ m/s$ towards a wall sounds a siren of frequency $n \ Hz$. If the velocity of sound in air is $V \ m/s$,then the frequency of the sound reflected from the wall and as heard by the driver in $Hz$ is

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