An ambulance is generating a siren sound at a frequency of $2,400 \mathrm{~Hz}$. The speed of sound is $345.0 \mathrm{~m} / \mathrm{s}$. If the observer is traveling at a velocity of $24.00 \mathrm{~m} / \mathrm{s}$ away from the stationary ambulance, then what is the frequency of the siren perceived by the observer?
A) $2,366 \mathrm{~Hz}$
B) $2,233 \mathrm{~Hz}$
C) $2,275 \mathrm{~Hz}$
D) $2,305 \mathrm{~Hz}$
E) $2,375 \mathrm{~Hz}$

Question

Quizplus · Accepted Answer

The frequency perceived by the observer is calculated using the Doppler effect formula for sound: $ f' = f \left( \frac{v}{v + v_o} \right) $, where $ f $ is the source frequency, $ v $ is the speed of sound, and $ v_o $ is the observer's speed. Substituting the given values, $ f' = 2400 \left( \frac{345}{345 + 24} \right) \approx 2233 \mathrm{~Hz} $.

An Ambulance Is Generating a Siren Sound at a Frequency 2,400 Hz2,400 \mathrm{~Hz}2,400 Hz

An Ambulance Is Generating a Siren Sound at a Frequency $2,400 \mathrm{~Hz}$