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Chapter 16: Q.42 (page 452)

An opera singer in a convertible sings a note at 600 Hz while cruising down the highway at 90 km/h. What is the frequency heard by a. A person standing beside the road in front of the car? b. A person on the ground behind the car?

Short Answer

Expert verified

Part a

Frequency of sound as her convertible approaches the stationary observer is 650Hz.

Part b

Frequency of sound as her convertible recedes the stationary observer is560Hz.

Step by step solution

01

Given information

The opera singer sings a note at f0=600Hz.

The speed of an opera singer vs=90km/hr=25m/s.

Speed of sound isv=343m/s

02

Part a

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

The frequency as her convertible approaches the stationary observer is

f+=6001-25343鈮�650Hz

Therefore, the frequency of sound as her convertible approaches the stationary observer is650Hz.

03

Part b

Doppler effect for a receding source is given by f-=f01+vsv.

The frequency as her convertible recedes the stationary observer is

f-=6001+25343鈮�560Hz

Therefore, the frequency of sound as her convertible recedes to the stationary observer is560Hz.

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