wave_mechanics dopplers_effect Question 24

Question: A source and listener are both moving towards each other with speed v/10, where v is the speed of sound. If the frequency of the note emitted by the source is f, the frequency heard by the listener would be nearly

[MP PMT 1994; MP PET 2001]

Options:

A) 1.11 f

B) 1.22 f

C) f

D) 1.27 f

Show Answer

Answer:

Correct Answer: B

Solution:

When source and listener both are moving towards each other then, the frequency heard $ {n}’=n( \frac{v+v _{O}}{v-v _{S}} ) $

Therefore $ {n}’=f( \frac{v+v/10}{v-v/10} )=1.22f.

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