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Mechanical Properties Of Fluids

Question
CBSEENPH11020588

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

  • 1332 Hz

  • 1372 Hz

  • 1412 Hz

  • 1454 Hz

Solution

C.

1412 Hz

Both the observer and the source are moving.
Therefore, using the formula of apparent frequency,
 straight f space equals space straight f subscript straight o space open parentheses fraction numerator straight v plus straight v subscript straight o over denominator straight v space plus straight v subscript straight s end fraction close parentheses
space space equals space 1392 space open square brackets fraction numerator 343 plus 10 over denominator 343 plus 5 end fraction close square brackets
space space equals space 1392 space open square brackets 353 over 348 close square brackets space Hz
space space equals 1412 space Hz