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Question

Physics Question on doppler effect

A source and an observer are moving towards each other with a speed equal to v/2v/2, where vv is the speed of sound. The source is emitting sound of frequency nn. The frequency heard by one observer will be

A

zero

B

nn

C

n3\frac {n}{3}

D

3n3n

Answer

3n3n

Explanation

Solution

When the source and ouserver are approaching towards each other then apparent frequency heard by the observer is n=(v+v0vv0)nn'=\left(\frac{v+v_{0}}{v-v_{0}}\right) n =(v+v2)(v+v2)n=\frac{\left(v+\frac{v}{2}\right)}{\left(v+\frac{v}{2}\right)} n n=(32×21)n=3nn'=\left(\frac{3}{2} \times \frac{2}{1}\right) n=3 n