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An observer is riding on a bicycle and moving towards a hill at 18 \mathrm{kmh}^{-1}. He hears a sound from a source at some distance behind him directly as well as after its reflection from the hill. If the original frequency of the sound as emitted by source is 640 \mathrm{~Hz} and velocity of the sound in air is 320 \mathrm{~m} / \mathrm{s}, the beat frequency between the two sounds heard by observer will be __________\mathrm{Hz} .

Option: 1

10


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

\mathrm{V_0 =18 \frac{\mathrm{km}}{\mathrm{hr}}=5 \frac{\mathrm{m}}{\mathrm{s}} }

\mathrm{f =640 \mathrm{~Hz} }

\mathrm{V_{\text {sound }} =V=320 \mathrm{~m} / \mathrm{s} }

\mathrm{f_{\text {app }} =f\left(\frac{v+V_0}{V}\right)=650 \mathrm{~Hz} }

\mathrm{f_{\text {beats }} =\left|f_{\text {app }}-f\right| }

            \mathrm{ =10 \mathrm{~Hz}}

The beat frequency between the two Sounds heard by observer will be \mathrm{ 10 \mathrm{~Hz}}

Posted by

Deependra Verma

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