As a train moving with constant speed crosses the platform, the apparent frequency heard by a person standing on the platform during approach and recession differ by 2% of the actual frequency of the horn. If the speed of sound is 330 m/s, find the approximate speed of the train.
As a train moving with constant speed crosses the platform, the apparent frequency heard by a person standing on the platform during approach and recession differ by 2% of the actual frequency of the horn. If the speed of sound is 330 m/s, find the approximate speed of the train.
Option 1 -
2.2 m/s
Option 2 -
3m/s
Option 3 -
3.3 m/s
Option 4 -
4.4 m/s
Asked by Shiksha User
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1 Answer
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Correct Option - 3
Detailed Solution:f? = f? (330/ (330-V) f? = f? (330/ (330+V)
(f? - f? )/f? × 100 = 2% ⇒ (330/ (330-V) - (330/ (330+V) = 0.02
⇒ 330 [ (2V)/ (330)²-V²)] = 0.02 ⇒ 330V = 0.01 × (330)² ⇒ V = 3.3 m/s (approx.)
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