146. Two cars moving in opposite directions approacheach other with speed of 22 m/s and 16.5 m/srespectively. The driver of the first car blows a hornhaving a frequency 400 Hz. The frequency heard bythe driver of the second car is [velocity of sound340 m/s] :
(1) 350 Hz (2) 361 Hz
(3) 411 Hz (4) 448 Hz
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answer is 450 Hz I hope this helps you
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The frequency of sound heard by the driver of the second car = 448.42 Hz
The car moving with velocity 22 m/s blows a horn having a frequency (f) of 400 Hz.
Using Doppler's effect equation -
frequency heard = f (velocity of sound w.r.t listener/velocity of sound w.r.t source)
Velocity of sound w.r.t listener = velocity of sound + velocity of second car
= 340 + 16.5 = 356.5 m/s
Velocity of sound w.r.t source = velocity of sound - velocity of first car
= 340 - 22 = 318 m/s
Frequency of sound heard = 400 ×(356.5/318)
= 448.42 Hz
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