Wave Mechanics Question 690

Question: A speeding motorcyclist sees trafic jam ahead of 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 speeds of sound is 343 m/s, the frequency of the honk as heard by him will be :

Options:

A) 1332 Hz

B) 1372 Hz

C) 1412Hz

D) 1464Hz

Show Answer

Answer:

Correct Answer: C

Solution:

[c] According to Doppler’s effect Apparent frequency $ n’=n( \frac{v+v _{0}}{v+v _{s}} )=1392( \frac{343+10}{343+5} ) $

$ =1412,Hz $