A trumpeter is placed on a moving sidewalk that moves at a constant velocity of

Question

A trumpeter is placed on a moving sidewalk that moves at a constant velocity of 4.5 m/s. A listener is standing 6.0 m in front of the trumpeter on the same sidewalk. The trumpeter plays a note of frequency 290 Hz. The air is still and the speed of sound is 340 m/s. What frequency of the note does the listener hear? A) 296 Hz B) 293 Hz C) 290 Hz D) 284 Hz A trumpeter is placed on a moving sidewalk that moves at a constant velocity of 4.5 m/s. A listener is standing 6.0 m in front of the trumpeter on the same sidewalk. The trumpeter plays a note of frequency 290 Hz. The air is still and the speed of sound is 340 m/s. What frequency of the note does the listener hear? A) 296 Hz B) 293 Hz C) 290 Hz D) 284 Hz A) 296 Hz B) 293 Hz C) 290 Hz D) 284 Hz

Explanation / Answer

Here listener is standing in front of the trumpeter. So the trumpeter is moving towards the listener.

the apparent frequency heard by the listener is f = [v/(v-u)]0

where v = speed of sound = 340m/s

u = speed of the source = 4.5m/s

0 = original frequency of source = 290Hz

So f = [(340m/s)/(340m/s - 4.5m/s)]290Hz = 293.889Hz

So, frequency of the note the listener hears is = 293.889Hz

This concludes the answers. Check the answer and let me know if it's correct. If you need anymore clarification I will be happy to oblige....

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