Wave Mechanics Question 687

Question: A train has just completed a U-curve in a track which is a semicircle. The engine at the forward end of the semicircular part of the track while the last carriage is at the rear end of the semicircular track. The driver blows a whistle of frequency 200 Hz. Velocity of sound is 340 m/s. Then the apparent frequency as observed by a passenger in the middle of a train when the speed of the train is 30 m/s is

Options:

A) 209 Hz

B) 288 Hz

C) 200 Hz

D) 181 Hz

Show Answer

Answer:

Correct Answer: C

Solution:

[c] The line of motion of engine is perpendicular to line of motion of the observer at that instant, so $ f’=f=200,Hz $