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

548.5 Hz

Step-by-step 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=(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=
`(339)/(339-30)* 500=548.5 Hz`

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