A source emitting sound of frequency f0 is moving in a circle of radius r .having centre at the origin with a uniform speed c/3 where c is the speed of sound find the maximum and the minimum frequencies heard by astationary listener at apoint (r/2,0)
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Explanation:
Velocity of source v
source
=rω=3×10=30m/s=v
s
The detector frequency of oscillation: f=5/s
Velocity of detector: v
d
=2πfa=2π×5×1=10π since a=1 as given
Minimum frequency recorded by the detector: f
min
=
v+v
s
v−v
d
=340×
330+30
330−10π
=340×
360
330−10×
7
22
=282Hz
Maximum frequency recorded by the detector: f
max
=
v−v
s
v+v
d
=340×
330−30
330+10π
=340×
300
330+10×
7
22
=410Hz
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