A stationary source emits a whistle at a frequency of $200\text{ Hz}$. If the velocity of propagation of…
A stationary source emits a whistle at a frequency of $200\text{ Hz}$. If the velocity of propagation of sound is $340\text{ ms}^{-1}$, then the observed frequency, if the observer is moving away from the source at $25\text{ ms}^{-1}$, will be [MP PMT 2013]
185 Hz
215 Hz
175 Hz
225 Hz
Solution
As we know, $f' = f\left(\frac{v}{v - v_s}\right)$
Given, $f = 200\text{ Hz}$, $v = 340\text{ ms}^{-1}$, $v_s = 25\text{ ms}^{-1}$
From Doppler's effect,
$f' = 200\left(\frac{340}{340 - 25}\right) = \frac{200 \times 340}{315} \Rightarrow f' = 215\text{ Hz}$