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Q. 45

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 452

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Short Answer

FIGURE P16.45 is a history graph at x = 0 m of a wave traveling in the positive x-direction at 4.0 m/s. a. What is the wavelength? b. What is the phase constant of the wave? c. Write the displacement equation for this wave.

a. The wavelength of the wave is .

b. The phase constant of the wave is .

c. The displacement of the wave is .

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Step by Step Solution

Given information

A history graph at x = 0 m of a wave traveling in the positive x-direction is shown below

Part a

From the history graph, it can be observed that and .

The wavelength of the wave is given by .

Substitute the given values

Therefore, the wavelength of the wave is .

Part b

A phase constant can be obtained by .

Substitute the given values

Therefore, the phase constant of the wave is .

Part c

The equation of the displacement of the wave is given by .

Substitute the given values

Therefore, the displacement equation for this wave is .

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