wave_mechanics dopplers_effect Question 53

Question: Two trains are moving towards each other at speeds of 20 m/s and 15 m/s relative to the ground. The first train sounds a whistle of frequency 600 Hz. the frequency of the whistle heard by a passenger in the second train before the train meets is (the speed of sound in air is 340 m/s)

[UPSEAT 2002]

Options:

A) 600 Hz

B) 585 Hz

C) 645 Hz

D) 666 Hz

Show Answer

Answer:

Correct Answer: D

Solution:

The frequency of whistle heard by passenger in the train B, is $ {n}’=n( \frac{v+v _{0}}{v-v _{s}} )=600( \frac{340+15}{340-20} )\approx 666\ Hz $