Wave Mechanics Question 680

Question: Two trains are moving towards each other with speeds of 20m/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)

Options:

A) 600 Hz

B) 585 Hz

C) 645 Hz

D) 666 Hz

Show Answer

Answer:

Correct Answer: D

Solution:

[d] $ v’=v( \frac{v+v _{D}}{v-v _{S}} ) $ Here, $ v=600Hz,v _{D}=15m/s $

$ v _{s}=20,m/s,v=340m/s $
$ \

Therefore v’=600( \frac{355}{320} )\approx 666,Hz $