A toy train in a children amusement park runs on an elliptical orbit having major and minor axis in the ratio of `4 : 3`. The length of the train is exactly equal to half the perimeter of the elliptical track. The train is travelling at a constant speed of `20 ms^( –1)`. The engine sounds a whistle when its acceleration is minimum. The whistle has a frequency of `f_(0) = 3460 Hz` and speed of sound in air is `V = 330 ms^( –1)`
(a) What frequency of whistle is received by a passenger in the last compartment of the train?
(b) What frequency of whistle is received by a passenger sitting in the central compartment of the train?

Answer

(a) 3460 Hz
(b) 3420 Hz