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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

Respuesta :

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

[tex]f'=\dfrac{V_{0}}{V-V_{s}}f[/tex]

Put the value into the formula

[tex]f'=\dfrac{344}{344-32.5}\times f[/tex]

[tex]f'=234.11\ Hz[/tex]

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

[tex]f''=\dfrac{v}{v+v_{s}}f[/tex]

[tex]f''=\dfrac{344}{344+32.5}\times212[/tex]

[tex]f''=193.7\ Hz[/tex]

The frequency of  the receding train is 193.7 Hz.

Hence, This is required solution.

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