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Chapter 2: Q53E (page 541)

Two swift canaries fly toward each other, each moving at 15.0 m/s relative to the ground, each warbling a note of frequency 1750 Hz. (a) What frequency note does each bird hear from the other one? (b) What wavelength will each canary measure for the note from the other one?

Short Answer

Expert verified

a) Frequency isfb=1910Hz

b) Wavelength measured 位infront=0.188m

Step by step solution

01

Step 1:

a) The frequency detected by each bird is;

fb=fsv卤vbv+vs

Given data:

Speed of sound in airv=344m/s

Speed of bird that is considered as an observervb=15m/s

Speed of bird that is considered the sourceVs=15m/s

Frequency of sound emitted by birds as a sourcefs=1750Hz

Frequency of sound detected by other bird fb

On putting the values;

fb=(1750Hz)脳(344m/s)+(15m/s)(344m/s)-(15m/s)fb=1910Hz

Hence, the frequency is fb=1910Hz

02

Step 2:

b) The wavelength in front either of any of the two birds is expressed as;

位infront=v-vSfs

On putting the values;

位infront=344m/s+15m/s1750Hz位infront=0.188m

Hence, the wavelength measured 位infront=0.188m

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