Answer:
The source speed toward the station and away from the station are 3.79 m/s and 3.87 m/s.
Explanation:
Given that,
Frequency of the whistles f = 1.80\times10^{2}\ Hz[/tex]
Beat frequency = 2.00 b/s
We need to calculate the frequency
Using formula of beat frequency
Put the value into the formula
When the train moving towards station, then the frequency heard is more than the actual
We need to calculate the source speed
Using Doppler effect
Therefore, the source speed is
Put the value into the formula
When the train moving away from the station, then the frequency heard is
Again from beat frequency,
Put the value into the formula
We need to calculate the source speed
Using Doppler effect
Therefore, the source speed is
Put the value into the formula
Hence, The source speed toward the station and away from the station are 3.79 m/s and 3.87 m/s.