Questions

A speeding motorcyclist sees traffic jam ahead him. He slows down to 36 km hour. He finds that traffic has eased and a car moving ahead of him at 18 km hour is honking at a frequency of 1392 Hz. If the speed of sound is 343 m${s}^{-1}$, the frequency of the honk as heard by him will be

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By Expert Faculty of Sri Chaitanya
a
1332 Hz
b
1372 Hz
c
1412 Hz
d
1454 Hz
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detailed solution

Correct option is C

Here speed of Motorcyclist speed isvm=36 km hour -1=36×518 m s-1=10 m s-1Speed of car,vc=18 km hour -1=18×518 m s-1=5 m s-1Frequency of source, ν0= 1392 HzSpeed of sound, ν=343 m s-1The frequency of the honk heard by  the motorcyclist isv'=v0v+vmv+vc=1392343+10343+5=1392×353348=1412 Hz

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