Question 1

A plant that is 4.1 cm tall is 10.3 cm from a converging lens. You observe that the image of this plant is virtual and 6.2 cm tall. What is the focal length of the lens?

Accepted Answer

A)  30 cm 
B)  6.8 cm 
C)  16 cm 
D)  -30 cm 
E)  -16 cm 
A)  30 cm 
B)  6.8 cm 
C)  16 cm 
D)  -30 cm 
E)  -16 cm

Question 2

The critical angle for a beam of light passing from water into air is 48.8°. This means that all light rays with an angle of incidence in the water that is greater than 48.8° will be

Accepted Answer

A)  totally reflected. 
B)  partially reflected and partially transmitted. 
C)  totally transmitted. 
D)  totally absorbed by the water. 
A)  totally reflected. 
B)  partially reflected and partially transmitted. 
C)  totally transmitted. 
D)  totally absorbed by the water.

Question 3

A thin double-convex lens is intended to focus the image of an object onto a screen so that the image is life-sized on the screen. The lens has equal-magnitude radii of $83 \mathrm {~cm}$ and a refractive index of 1.6.
(a) What is the distance $d$ from the image to the screen?
(b) What is the total distance $L$ between the object and the image?

Accepted Answer

A)  (a) $d = 69 \mathrm {~cm}$
(b) $L = 35 \mathrm {~cm}$ 
B)  (a) $d = 138 \mathrm {~cm}$
(b) $L = 276 \mathrm {~cm}$ 
C)  (a) $d = - 138 \mathrm {~cm}$
(b) $L = - 276 \mathrm {~cm}$ 
D)  $( \mathrm { a } ) d = 276 \mathrm {~cm}$
(b) $L = 552 \mathrm {~cm}$ 
A)  (a) $d = 69 \mathrm {~cm}$
(b) $L = 35 \mathrm {~cm}$ 
B)  (a) $d = 138 \mathrm {~cm}$
(b) $L = 276 \mathrm {~cm}$ 
C)  (a) $d = - 138 \mathrm {~cm}$
(b) $L = - 276 \mathrm {~cm}$ 
D)  $( \mathrm { a } ) d = 276 \mathrm {~cm}$
(b) $L = 552 \mathrm {~cm}$

Question 4

A negative magnification for a mirror means that

Accepted Answer

A)  the image is inverted, and the mirror is concave. 
B)  the image is upright, and the mirror could be either concave or convex. 
C)  the image is inverted, and the mirror is convex. 
D)  the image is inverted, and the mirror could be either concave or convex. 
E)  the image is upright, and the mirror is convex. 
A)  the image is inverted, and the mirror is concave. 
B)  the image is upright, and the mirror could be either concave or convex. 
C)  the image is inverted, and the mirror is convex. 
D)  the image is inverted, and the mirror could be either concave or convex. 
E)  the image is upright, and the mirror is convex.

Question 5

If the index of refraction of a material is 2, this means that light travels

Accepted Answer

A)  2 times as fast in air as it does in vacuum. 
B)  2 times as fast in vacuum as it does in the material. 
C)  2 times as fast in the material as it does in air. 
D)  1/2 as fast in air as it does in the material. 
E)  2 times as fast in the material than it does in vacuum. 
A)  2 times as fast in air as it does in vacuum. 
B)  2 times as fast in vacuum as it does in the material. 
C)  2 times as fast in the material as it does in air. 
D)  1/2 as fast in air as it does in the material. 
E)  2 times as fast in the material than it does in vacuum.

Question 6

The image formed by a single concave lens

Accepted Answer

A)  is always inverted. 
B)  could be real or virtual, depending on whether the object distance is smaller or greater than the focal length. 
C)  is always virtual. 
D)  could be real or virtual, but is always real when the object is placed at the focal point. 
E)  is always real. 
A)  is always inverted. 
B)  could be real or virtual, depending on whether the object distance is smaller or greater than the focal length. 
C)  is always virtual. 
D)  could be real or virtual, but is always real when the object is placed at the focal point. 
E)  is always real.

Question 7

An object is placed 21 cm from a concave lens having a focal length of magnitude 25 cm. What is the magnification?

Accepted Answer

A)  -0.32 
B)  -0.22 
C)  0.22 
D)  -0.54 
E)  0.54 
A)  -0.32 
B)  -0.22 
C)  0.22 
D)  -0.54 
E)  0.54

Question 8

You may have seen ambulances on the street with the letters of the word AMBULANCE written on the front of them, in such a way as to appear correctly when viewed in your car's rear-view
Mirror. (See the figure.) How do the letters appear when you look directly at the ambulance (not
Through the mirror)? a) $\forall$ WดกาซNวE
b) $\mathrm { MB } \cup \perp А И ว \exists$
c) ECNALUBMA
d) $\exists ว N \forall า \cap \& W \forall$
e) ヨวИA」บดMA

Accepted Answer

A)  $\mathrm { a }$ 
B)  $b$ 
C)  $\mathrm { c }$ 
D)  $\mathrm { d }$ 
E)  e 
A)  $\mathrm { a }$ 
B)  $b$ 
C)  $\mathrm { c }$ 
D)  $\mathrm { d }$ 
E)  e

Question 9

A scuba diver is $1.2 \mathrm {~m}$ beneath the surface of a still pond of water. At what angle relative to the normal at the surface must the diver shine a beam of light toward the surface in order for a person on a distant bank to be able to see it? The index of refraction for water is $1.33$.

Accepted Answer

A)  $41 ^ { \circ }$ 
B)  $90 ^ { \circ }$ 
C)  $59 ^ { \circ }$ 
D)  $0 ^ { \circ }$ 
E)  $48 ^ { \circ }$ 
A)  $41 ^ { \circ }$ 
B)  $90 ^ { \circ }$ 
C)  $59 ^ { \circ }$ 
D)  $0 ^ { \circ }$ 
E)  $48 ^ { \circ }$

Question 10

An object is placed 15 cm from a spherical concave mirror with a focal length of magnitude 20 cm. If the object is 4.0 cm tall, how tall is the image?

Accepted Answer

A)  2.0 cm 
B)  16 cm 
C)  1.0 cm 
D)  8.0 cm 
A)  2.0 cm 
B)  16 cm 
C)  1.0 cm 
D)  8.0 cm

Question 11

A ray of light (ray $a$ ) in air strikes a flat piece of glass at an angle of $\phi _ { 0 } = 84 ^ { \circ }$ with respect to the normal, as shown in the figure. The index of refraction of the glass is $1.5$. What is the angle $\theta$ between the reflected ray (ray $b$ ) and refracted ray (ray $c$ ) rays?

Accepted Answer

The answer of A ray of light (ray $a$ )...

Question 12

An object is placed on the left side of a thin lens, and the image of this object is formed on the left side of the lens. Which of the following statements must be true? (There could be more than one
Correct choice.)

Accepted Answer

A)  The image is inverted and real. 
B)  The lens must be a converging lens, and the image is upright. 
C)  The image is upright and virtual. 
D)  The lens could be either a converging or a diverging lens, and the image is upright. 
E)  The lens must be a diverging lens, and the image is upright. 
A)  The image is inverted and real. 
B)  The lens must be a converging lens, and the image is upright. 
C)  The image is upright and virtual. 
D)  The lens could be either a converging or a diverging lens, and the image is upright. 
E)  The lens must be a diverging lens, and the image is upright.

Question 13

A 4.0-cm tall object is placed 60 cm in front of a converging lens of focal length of magnitude 30 cm. What are the nature and location of the image?

Accepted Answer

A)  The image is virtual, 2.5 cm tall, 30 cm on the other side of the lens. 
B)  The image is virtual, 4.0 cm tall, 60 cm on the same side as object. 
C)  The image is virtual, 2.0 cm tall, 15 cm on the other side of the lens. 
D)  The image is real, 2.5 cm tall, 30 cm on the same side as object. 
E)  The image is real, 4.0 cm tall, 60 cm on the other side of the lens. 
A)  The image is virtual, 2.5 cm tall, 30 cm on the other side of the lens. 
B)  The image is virtual, 4.0 cm tall, 60 cm on the same side as object. 
C)  The image is virtual, 2.0 cm tall, 15 cm on the other side of the lens. 
D)  The image is real, 2.5 cm tall, 30 cm on the same side as object. 
E)  The image is real, 4.0 cm tall, 60 cm on the other side of the lens.

Question 14

A plastic cube is immersed in water having an index of refraction of $1.33$. A laser beam in the plastic strikes the interface at an angle of $14.5 ^ { \circ }$ with the normal in the plastic. In the water, this beam makes an angle of $21.8 ^ { \circ }$ with the normal. What is the speed of light in the plastic cube? $\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

Accepted Answer

The answer of A plastic cube is immersed in water...

Question 15

A beam of light, traveling in air, strikes a plate of transparent material at an angle of incidence of $56.0 ^ { \circ }$. It is observed that the reflected and refracted beams form an angle of $90.0 ^ { \circ }$. What is the index of refraction of this material?

Accepted Answer

A)  $1.48$ 
B)  $1.43$ 
C)  $1.44$ 
D)  $1.40$ 
A)  $1.48$ 
B)  $1.43$ 
C)  $1.44$ 
D)  $1.40$

Question 16

When an object is placed 118 cm from a thin diverging lens, its image is found to be 59 cm
from the lens. The lens is removed, and replaced by a thin converging lens whose focal
length has the same magnitude as the diverging lens. This second lens is at the original
position of the first lens. Where is the image of the object now?

Accepted Answer

The answer of When an object is placed 118 cm...

Question 17

When an object is 12 cm in front of a concave mirror, the image is 3.0 cm in front of the mirror? What is the focal length of the mirror?

Accepted Answer

A)  -0.25 cm 
B)  -1.3 cm 
C)  2.4 cm 
D)  15 cm 
E)  4.0 cm 
A)  -0.25 cm 
B)  -1.3 cm 
C)  2.4 cm 
D)  15 cm 
E)  4.0 cm

Question 18

A convex lens has focal length $f$. If an object is placed at a distance between $f$ and $2 f$ from the lens on the principal axis, the image is located at a distance from the lens

Accepted Answer

A)  that is greater than $2 f$. 
B)  of infinity. 
C)  of $2 f$. 
D)  between $f$ and $2 f$. 
E)  of $f$. 
A)  that is greater than $2 f$. 
B)  of infinity. 
C)  of $2 f$. 
D)  between $f$ and $2 f$. 
E)  of $f$.

Question 19

A drawing is placed $40 \mathrm {~cm}$ in front of a thin lens. If a virtual image forms at a distance of $50 \mathrm {~cm}$ from the lens, on the same side as the drawing, what is the focal length of the lens?

Accepted Answer

A)  $- 45 \mathrm {~cm}$ 
B)  $+ 45 \mathrm {~cm}$ 
C)  $75 \mathrm {~cm}$ 
D)  $90 \mathrm {~cm}$ 
E)  $200 \mathrm {~cm}$ 
A)  $- 45 \mathrm {~cm}$ 
B)  $+ 45 \mathrm {~cm}$ 
C)  $75 \mathrm {~cm}$ 
D)  $90 \mathrm {~cm}$ 
E)  $200 \mathrm {~cm}$

Question 20

A light beam has speed $c$ in vacuum and speed $v$ in a certain plastic. The index of refraction $n$ of this plastic is

Accepted Answer

A)  $n = ( c / v ) ^ { 2 }$. 
B)  $n = c / v$. 
C)  $n = ( v / c ) ^ { 2 }$. 
D)  $n = v / c$. 
E)  $n = c v$. 
A)  $n = ( c / v ) ^ { 2 }$. 
B)  $n = c / v$. 
C)  $n = ( v / c ) ^ { 2 }$. 
D)  $n = v / c$. 
E)  $n = c v$.

Exam 22: Electromagnetic Waves

A plant that is 4.1 cm tall is 10.3 cm from a converging lens. You observe that the image of this plant is virtual and 6.2 cm tall. What is the focal length of the lens?

The critical angle for a beam of light passing from water into air is 48.8°. This means that all light rays with an angle of incidence in the water that is greater than 48.8° will be

A negative magnification for a mirror means that

If the index of refraction of a material is 2, this means that light travels

The image formed by a single concave lens

An object is placed 21 cm from a concave lens having a focal length of magnitude 25 cm. What is the magnification?

An object is placed 15 cm from a spherical concave mirror with a focal length of magnitude 20 cm. If the object is 4.0 cm tall, how tall is the image?

An object is placed on the left side of a thin lens, and the image of this object is formed on the left side of the lens. Which of the following statements must be true? (There could be more than one Correct choice.)

A 4.0-cm tall object is placed 60 cm in front of a converging lens of focal length of magnitude 30 cm. What are the nature and location of the image?

A beam of light, traveling in air, strikes a plate of transparent material at an angle of incidence of 56.0∘56.0 ^ { \circ }56.0∘ . It is observed that the reflected and refracted beams form an angle of 90.0∘90.0 ^ { \circ }90.0∘ . What is the index of refraction of this material?

When an object is 12 cm in front of a concave mirror, the image is 3.0 cm in front of the mirror? What is the focal length of the mirror?

A convex lens has focal length fff . If an object is placed at a distance between fff and 2f2 f2f from the lens on the principal axis, the image is located at a distance from the lens

A drawing is placed 40 cm40 \mathrm {~cm}40 cm in front of a thin lens. If a virtual image forms at a distance of 50 cm50 \mathrm {~cm}50 cm from the lens, on the same side as the drawing, what is the focal length of the lens?

A light beam has speed ccc in vacuum and speed vvv in a certain plastic. The index of refraction nnn of this plastic is

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A beam of light, traveling in air, strikes a plate of transparent material at an angle of incidence of $56.0 ^ { \circ }$ . It is observed that the reflected and refracted beams form an angle of $90.0 ^ { \circ }$ . What is the index of refraction of this material?

A convex lens has focal length $f$ . If an object is placed at a distance between $f$ and $2 f$ from the lens on the principal axis, the image is located at a distance from the lens

A drawing is placed $40 \mathrm {~cm}$ in front of a thin lens. If a virtual image forms at a distance of $50 \mathrm {~cm}$ from the lens, on the same side as the drawing, what is the focal length of the lens?

A light beam has speed $c$ in vacuum and speed $v$ in a certain plastic. The index of refraction $n$ of this plastic is