You are standing directly between two speakers that are separated by 40 m.The two speakers are each playing a pure tone of 256 Hz.You begin running directly towards one of the speakers at 3.0 m/s.What beat frequency do you detect?
A)4.5 Hz
B)6.0 Hz
C)3.0 Hz
D)8.1 Hz
E)7.5 Hz

Question

Quizplus · Accepted Answer

The beat frequency is determined by the difference in frequencies heard from each speaker. As you move towards one speaker, the Doppler effect causes the frequency from that speaker to increase, while the frequency from the other speaker decreases. The speed of sound is approximately 343 m/s. Using the Doppler effect formula, the frequency shift is approximately 1.5 Hz for each speaker, resulting in a beat frequency of 4.5 Hz.

You Are Standing Directly Between Two Speakers That Are Separated