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The amplitude of a standing sound wave in a long pipe closed at the left end and

ID: 2265204 • Letter: T

Question

The amplitude of a standing sound wave in a long pipe closed at the left end and open at the right end is sketched below. The vertical axis is the maximum displacement of the air, and the horizontal axis is along the length of the pipe. What is the harmonic number for the mode of oscillation illustrated?

The length of the pipe is 0.410 m.  What is the pitch (frequency) of the sound?  Assume that the speed of sound is 340 m/s.

The pipe is now held vertically, and a small amount of water is poured inside the pipe.  The first harmonic frequency is then measured to be 277.8 Hz.  Measuring from the bottom of the pipe, what is the level of the water?

The amplitude of a standing sound wave in a long pipe closed at the left end and open at the right end is sketched below. The vertical axis is the maximum displacement of the air, and the horizontal axis is along the length of the pipe. What is the harmonic number for the mode of oscillation illustrated? The length of the pipe is 0.410 m. What is the pitch (frequency) of the sound? Assume that the speed of sound is 340 m/s. The pipe is now held vertically, and a small amount of water is poured inside the pipe. The first harmonic frequency is then measured to be 277.8 Hz. Measuring from the bottom of the pipe, what is the level of the water?

Explanation / Answer

This seems to be in 11th harmonic number , because , 2*n+1 = 2*5+1 = 11

Given:(a)

L = 0.410 m (use meters for length since the speed is given in units of meters/s)

The strategy for solving for the frequency of the first harmonic involves using the wave equation: v = f

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