Question

In the case of sound waves, wind is blowing from source to receiver with speed $U_w$. Both source and receiver are stationary. If ${\lambda }_0$ is the original wavelength with no wind and V is the speed of sound in air, then find the wavelength as received by the receiver.

Answer 1

In the case, of sound waves, wind is blowing from source to reciever with speed $=U_m$

If the original wavelength $={\lambda }_0$

Speed$=V$ (when there is no wind)

finding the wavelength as recieved by reciever.

Wind is blowing Speed $U_w$

Wind is not blowing

${\lambda }_0$ and $V$

$\lambda =$ wavelength as recieved by the reciever.

$=\frac{V-U_w}{n}\lambda =(1-\frac{U_w}{V}){\lambda }_0$