Question

A train station bell gives off a fundamental tone of 500 Hz as the train approaches the station at a speed of 30.0 m/s. If the speed of sound in air is 339 m/s, what will be the apparent frequency of the bell to an observer riding the train?

Answer 1

Answer:

548.5 Hz

Explanation:

We are given that

Frequency of source=500 Hz

Speed of train=30m/s

Speed of sound in air=339m/s

We have to find the frequency of the bell to an observer riding the train.

The apparent frequency for the listener

$f=\frac{v_0}{v_0-v_s}f_1$

Where $f_1=$Frequency of source

$v_0$=Speed of sound

$v_s$=Speed of source

Using the formula

The apparent frequency of the bell to an observer riding the train=$\frac{339}{339-30}\times 500=548.5 Hz$

Hence, the apparent frequency of the bell to an observer riding the train=548.5 Hz