A source of sound whose frequency is 1000 tex | vedclass

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(C) The frequency of the sound waves reflected by the fixed obstacle, as received by the obstacle, is given by the Doppler effect formula for a moving

Vedclass · Accepted Answer

$1.2$

Vedclass · Answer

(C) The frequency of the sound waves reflected by the fixed obstacle, as received by the obstacle, is given by the Doppler effect formula for a moving source and stationary observer: $f_1 = f \left( \frac{v}{v - v_s} ight)$ Substituting the values: $f_1 = 1000 \left( \frac{330}{330 - 33} ight) = \frac{1000 	imes 330}{297} 	ext{ Hz}$. Now, the reflected waves act as a source (stationary) and the receiver (moving with the source) acts as an observer moving towards the reflected waves: $f_2 = f_1 \left( \frac{v + v_D}{v} ight)$ Substituting $f_1$: $f_2 = \left( \frac{1000 	imes 330}{297} ight) \left( \frac{330 + 33}{330} ight) = \frac{1000 	imes 363}{297} 	ext{ Hz}$. $f_2 = 1000 	imes 1.2 = 1200 	ext{ Hz} = 1.2 	ext{ kHz}$.

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