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A locomotive engine approaches a railway...

A locomotive engine approaches a railway station and whistes at a frequency of 400 Hz. A stationary observer on the platform observes a changes of 40 Hz. As the engine passed across him. If velocity of sound is 330 m/s. The speed of the engine is

A

33 m/s

B

18 m/s

C

16.5 m/s

D

24 m/s

Text Solution

Verified by Experts

The correct Answer is:
C
Here , `n=(v/(v-v_(s)))n and n'=(v/(v+v_(s)))n`
According to problem,
`40n'-n'=(v/(v-v_(s)))n-(v/(v+v_(s)))n`
or `" "40=((330xx400)/(330-v_(s)))-((330xx400)/(330+v_(s)))`
After solving, `v_(s)` =165 m/s
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