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Question

A car moves towards a hill with speed vc. It blows a horn of frequency, f, which is heard by an observer following the car with speed v0. The speed of sound in air is v, then

A
the wavelength of sound reaching the hill is vf
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B
the wavelength of sound reaching the hill is vvcf
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C
the wavelength of sound reaching the hill is v+vcf
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D
the beat frequency observed by the observer is 2vc(v+v0)fv2v2c
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Solution

The correct options are
B the wavelength of sound reaching the hill is vvcf
D the beat frequency observed by the observer is 2vc(v+v0)fv2v2c
Frequency of horn directly heard by observerv+v0v+vcf

Frequency of echovv+vcf

Frequency of echo of horn as heard by observer.

vvvcf(v+v0V)

=(v+v0)f{1vvc1v+v0}=2vc(v+v0)(v2V2c)

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