Question

A train passing a railway station with a speed of 10 metre per second blowing continuously whistle of frequency 210 vib/sec.Find the frequencies as heard by a passenger before and after it has passed tge passenger if velocity of sound is 340 m/sec


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Answer 1

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A train passing a railway station with a speed of 10 metre per second blowing continuously whistle of frequency 210 vib/sec.Find the frequencies as heard by a passenger before and after it has passed the passenger if velocity of sound is 340 m/sec.

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Speed of the train = 10m/sec

Frequency of whistle = 210 vib/sec

Velocity of the sound = 340m/sec

To find : the observed frequency

(i) before it has passed the passenger

Solution: Using Doppler's Formula.

When the source is coming,

$f = ( \frac{c}{c-v_s})f_0$

where f is the observed frequency,

c is the speed of the sound

$v_s$ is the velocity of the source,

and $f_0$ is the emmited frequency of the source.

$= ( \frac{340}{340 - 10})210 \\ = > 216.36$

Hence, The passenger will hear a frequency of 216.36Hz before passing of the train.

(ii) after it has passed the passenger

Solution: Using Doppler's Formula.

When the source has passed,

$f = ( \frac{c}{c+v_s})f_0$

where f is the observed frequency,

c is the speed of the sound

$v_s$ is the velocity of the source,

and $f_0$ is the emmited frequency of the source.

$= ( \frac{340}{340 + 10})210 \\ = > 204$

Hence, The passenger will hear a frequency of 204Hz after passing of the train.

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Answer 2

Answer:

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