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Question
A train is moving in an elliptical orbit in anticlockwise sense with a speed of 110 m/s. Guard is also moving in the given direction with same speed as that of train. The ratio of the length of major and minor axes is 43. Driver blows a whistle of 1900 Hz at P, which is received by guard at S. The frequency received by guard is (velocity of sound v = 330 m/s)
A Train Is Moving In An Elliptical Orbit In Anticlockwise Se...
Options:
A .  1900 Hz
B .  1800 Hz
C .  2000 Hz
D .  1500 Hz
Answer: Option B
:
B
Frequency received by guard is
A Train Is Moving In An Elliptical Orbit In Anticlockwise Se...
n0=n0v0(v+v0cosθ1)(v+vscosθ2)
v = 330 m/s
Here, v0=vS=v3,cosθ1=35,cosθ2=45
n=n0(v+v3×35)(v+v3×45)
=(65×1519)n0=18n019=1800Hz

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