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The Third Harmonic of an Organ Pipe of Length L

Question 52

Multiple Choice

The third harmonic of an organ pipe of length L open at one end has nodes at the closed end, 2L/5 from the closed end, and 4L/5 from the closed end. The open end is an antinode. What expression describes this wave? Take the speed of sound to be 336 m/s, the length of the pipe to be 2.0 m, and let x be the distance from the closed end.


A) A sin[(3.9 m-1) x] sin[(210 s-1) t + φ]
B) A cos[(3.9 m-1) x] sin[(1.3 x 103 s-1) t + φ]
C) A cos[(3.9 m-1) x] cos[(210 s-1) t + φ]
D) A sin[(3.9 m-1) x] sin[(1.3 x 103 s-1) t + φ]
E) A sin[(0.625 m-1) x] sin[(4.8 x 10-3 s-1) t + φ]

Correct Answer:

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