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A commuter train passes a passenger platform at a constant speed of 37.4m/S. The

ID: 1640755 • Letter: A

Question

A commuter train passes a passenger platform at a constant speed of 37.4m/S. The train horn is sounded at its characteristic frequency of 340 Hz. What overall change in frequency is detected by a person on the platform as the train moves from approaching to receding? Increase or decrease? What wavelength is detected by a person on the platform as the train approaches? In meters. A commuter train passes a passenger platform at a constant speed of 37.4m/S. The train horn is sounded at its characteristic frequency of 340 Hz. What overall change in frequency is detected by a person on the platform as the train moves from approaching to receding? Increase or decrease? What wavelength is detected by a person on the platform as the train approaches? In meters. What overall change in frequency is detected by a person on the platform as the train moves from approaching to receding? Increase or decrease? What wavelength is detected by a person on the platform as the train approaches? In meters.

Explanation / Answer

Let us assume speed of sound in air is 340m/s

Apparent frequency of sound while approaching =(340/(340-37.4))*340 = 378.64Hz

Apparent frequncy of sound while receding=(340/(340+37.4))*340=308.5Hz

Therefor the apparent frequency decreases from 378.64 to 308.5. Decrease in frequency =70.14 Hz

Wavelength = speed of sound/apparent frequency =340/378.64=0.898m

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