First slide

Doppler

Question

Two persons A and B each carrying a source.of sound of frequency n, are standing a few meters apart in a quiet field. A starts moving towards B with a speed v₀. If v be the speed of sound, the number of beats heard per second by A will be

Moderate

A

$\frac{{nv}_{o}}{v}$
B

$\frac{n V}{V_{o}}$
C

${nv}_{o} v$
D

$\frac{2 nV}{V_{o}}$

Solution

Tho apparent frequency received by 4 due to the source of B is given by
$n^{'} = n (\frac{V + V_{o}}{V}) (observer moving towards source) {a l s o h e a r s t h o s o u n d o f h i s s o u r c e w h o s e h e q u e n c y i s n Beat frequency = n^{'} - n = n (\frac{V + V_{O}}{V}) - n = \frac{n V_{O}}{V}$

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