Physics
Physics
1st Edition
Walker
ISBN: 9780133256925
Textbook solutions

All Solutions

Section 16.1: The Reflection of Light

Exercise 1
Step 1
1 of 2
$$
tt{Rays and wavefronts both indicate the direction of propagation of the electromagnetic wave, Rays are lines that are best for describing and studying waves in a 2D environment, whereas wavefronts are planes that are better used for 3D environments.}
$$
Result
2 of 2
$$
tt{Both describe the wave movement but are used for different analysis.}
$$
Exercise 2
Step 1
1 of 2
If the angle of incidence of the incident beam is increased the reflected beam will shifted towards 2.
Result
2 of 2
Towards 2
Exercise 3
Step 1
1 of 2
$$
tt{Smooth surfaces produce clear images because all the reflected light is beamed in one direction, Refer to {color{#4257b2}{Figure16.4}} for an example.}
$$
Result
2 of 2
$$
tt{smooth surfaces}
$$
Exercise 4
Step 1
1 of 2
tt{The horizontal beamed light is reflected by a mirror at an angle $theta$, the angle of incidence(is the angle between the mirror surface and the normal to it) is then $90-theta.$

adding the angle of incidence, the angle of reflection, and $Phi$ form a $180^o$ degree angle geometrically, therefore:

$$
90-theta+90-theta+Phi=180 Rightarrow Phi=2theta
$$

if $thetauparrow$then$Phiuparrow$

Result
2 of 2
$phi$ increase
Exercise 5
Step 1
1 of 2
$$
tt{if $theta=90^o$then the incident light hits the surface of the mirror with an angle $theta_i$ to the normal: }
$$

$$
theta_i=90-theta=90-30=60^o
$$

Result
2 of 2
$$
theta_i=60^o
$$
Exercise 6
Solution 1
Solution 2
Step 1
1 of 2
$$
tt{in {color{#4257b2}{Exercise 4}} we demonstrated through a geometrical analysis that $Phi=2theta$ }
$$

$$
Rightarrow Phi=2*20=40^o
$$

Result
2 of 2
$$
tt{$Phi=40^o$}
$$
Step 1
1 of 2
Since the angle between horizontal to the mirror is $20text{textdegree}$ the angle between incoming ray and the plane of mirror is also $20text{textdegree}$.

Hence the angle between the reflected light and plane of mirror is also $20text{textdegree}$.

Hence the angle $phi$ is $phi=20text{textdegree}+20text{textdegree}=40text{textdegree}$

Result
2 of 2
$$
40text{textdegree}
$$
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