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A train traveling 80.0 kph is blowing its horn as it approaches a railroad crossing. The horn has a frequency of 300.0 Hz. Assume the speed of sound is 331.5 m/s. What is the observed frequency of the horn?

395 Hz

281 Hz

322 Hz

2 Answers

5 votes
the answer to your question is 322 hz
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User Gallaxhar
by
7.6k points
1 vote

Answer:

322 Hz

Step-by-step explanation:

v = speed of train approaching the railroad crossing = 80 km/h = 80 x 1000/3600 m/s = 22.22 m/s

V = speed of sound of the horn of train = 331.5 m/s

f = actual frequency of the sound from the horn = 300.0 Hz

f' = observed frequency of the horn

Using Doppler's effect, observed frequency is given as

f' = V f/(V - v)

inserting the values

f' = (331.5) (300.0)/(331.5 - 22.22)

f' = 322 Hz

User Arnaud Potier
by
6.7k points