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Question

A source of sound 'S' emitting waves of frequency 100 Hz and an observer 'O' are located at some distance from each other. The source is moving with a speed of 19.4 ms1 at an angle of 60o with the source observer line as shown in the figure. The observer is at rest. The apparent frequency observed by the observer is
(velocity of sound in air 330 ms1)


Your Answer
A
97 Hz
Your Answer
B
100 Hz
Correct Answer
C
103 Hz
Your Answer
D
106 Hz

Solution

The correct option is C 103 Hz
Since the source has a component of velocity along 'SO', the apparent frequency observed by the observer will increase.
v: velocity of sound  
Velocity of observer is zero
Velocity of the source along 'SO' vs=19.4×cos(600)=9.7 m/s
f0= frequency emitted by source
fapparent=f0(vvovvs)=100×(33003309.7)=103.03 Hz

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