Home Page Textbooks Physics: Principles and Problems Section 14.3: Wave Behavior

Physics: Principles and Problems

9th Edition

Elliott, Haase, Harper, Herzog, Margaret Zorn, Nelson, Schuler, Zitzewitz

ISBN: 9780078458132

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Section 14.3: Wave Behavior

Exercise 27

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Frequency remains unchanged

Amplitude, wavelength and velocity will change

$$
text{color{Brown}Direction may or may not change.

$ $

If the light hits the boundary at right angle, the direction will not change. Otherwise the direction will also change }
$$

Exercise 28

Solution 1

Solution 2

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The direction will not change if the light hits the boundary at a right angle.

Step 2

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The direction will also not change if the two mediums have the same refractive index.

That means the light has the same velocity in both mediums

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Two dimensional waves can cross a boundary between two media without changing direction if their speed is the same in both medias or if they strike boundary during their traveling which is normal to the surface of it.

Exercise 29

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There will always be one more node than there are antinodes.

Result

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There will always be one more node than there are antinodes.

Exercise 30

Solution 1

Solution 2

Step 1

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In the $textit{Figure 14-13a}$, boundary is a rigid wall since the wave after the reflection has been inverted and in the $textit{Figure 14-13b}$ boundary is an open end since the wave after the reflection was not inverted.

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The boundary in figure 14-13a behaves like a rigid wall, because the reflected wave is inverted

Step 2

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The boundary in figure 14-13b behaves like an open end, because the reflected wave is not inverted. It is an anti-node

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Section 14.3: Wave Behavior

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