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Chapter 16: Q. 41 (page 452)

A friend of yours is loudly singing a single note at 400 Hz while racing toward you at 25.0 m/s on a day when the speed of sound is 340 m/s. a. What frequency do you hear? b. What frequency does your friend hear if you suddenly start singing at 400 Hz?

Short Answer

Expert verified

Part a

The frequency of your friend's note as heard by you is 432Hz.

Part b

The frequency heard by your friend by your note is429Hz.

Step by step solution

01

Given information

The frequency of the source is f0=400Hz

The speed of the source as it is approaching you is vs=25.0m/s.

The speed of sound is v=340m/s.

02

Part a

The Doppler effect for an approaching source is given by f+=f01-vsv.

Substitute the given values

role="math" localid="1649779767311" f+=4001-25340鈮�432Hz

Therefore, you will hear the frequency of432Hz.

03

Part b

The frequency heard by your friend by your note is given by f+=f01+v0v.

Substitute the given values

f+=4001+25340鈮�429Hz

Therefore, the frequency heard by your friend by your note is 429Hz.

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