GCEPhysicsWaves and Sound2024

A source of sound moves toward a stationary observer at a speed of 34 m/s. If the speed of sound in air is 340 m/s and the frequency of the source is 500 Hz, what frequency does the observer hear?

A450 Hz
B500 Hz
C550 Hz
D556 HzCORRECT
AI
Toaster Teacher
Why the answer is D, and why the others tempt you.
Using the Doppler formula for a source moving toward a stationary observer: $f' = f \times \frac{v}{v - v_s} = 500 \times \frac{340}{340 - 34} = 500 \times \frac{340}{306} \approx 500 \times 1.111 \approx 555.6 \approx 556$ Hz. Option C (550 Hz) is a common error from using $v + v_s$ in the denominator incorrectly, while A results from applying the formula for a receding source.
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