Question

As you stand near a railroad track, a train passes by at a speed of 32.5 m/s while sounding its horn at a frequency of 212 Hz. What frequency do you hear as the train approaches you and what frequency while it recedes

Answer 1

Step-by-step explanation:

Given that,

Speed = 32.5 m/s

Frequency = 212 Hz

We need to calculate the frequency

When the train approaching then from Doppler effect

`f'=(V_(0))/(V-V_(s))f`

Put the value into the formula

`f'=(344)/(344-32.5)* f`

`f'=234.11\ Hz`

The frequency of the approaching train horn is 234.11 Hz.

We need to calculate the frequency when the train away from the person

Again using Doppler effect

`f''=(v)/(v+v_(s))f`

`f''=(344)/(344+32.5)*212`

`f''=193.7\ Hz`

The frequency of the receding train is 193.7 Hz.

Hence, This is required solution.