Question 1

State how to draw the three rays for finding the image position due to a thin lens.

Accepted Answer

Ray 1 leaves the top of the object and i

Question 2

Find Brewster's angle for light reflected from the top of a water surface (n = 1.33).

Accepted Answer

A)  53.1° 
B)  36.9° 
C)  56.3° 
D)  60.2° 
E)  90.0° 
A)  53.1° 
B)  36.9° 
C)  56.3° 
D)  60.2° 
E)  90.0°

Question 3

A laser beam strikes a plane's reflecting surface with an angle of incidence of 43°. What is the angle between the incident ray and the reflected ray?

Accepted Answer

A)  43° 
B)  86° 
C)  45° 
D)  90° 
E)  0° 
A)  43° 
B)  86° 
C)  45° 
D)  90° 
E)  0°

Question 4

You wish to obtain a magnification of -2 from a convex lens of focal length f. The only possible solution is to

Accepted Answer

A)  place a virtual object at a distance 3f/2 from the lens. 
B)  place a real object at a distance 3f/2 from the lens. 
C)  place a virtual object at a distance 2f/3 from the lens. 
D)  place a real object at a distance 2f/3 from the lens. 
E)  place a virtual object at a distance 5f/3 from the lens. 
A)  place a virtual object at a distance 3f/2 from the lens. 
B)  place a real object at a distance 3f/2 from the lens. 
C)  place a virtual object at a distance 2f/3 from the lens. 
D)  place a real object at a distance 2f/3 from the lens. 
E)  place a virtual object at a distance 5f/3 from the lens.

Question 5

A concave mirror has a focal length of 20 cm. A paraxial beam of light coming from a distant object forms its image at the focal point. If a small plane mirror is placed at the center of curvature with its reflecting side facing the focal point, where is the final image?

Accepted Answer

A)  3 cm in front of the mirror 
B)  40 cm in front of the mirror 
C)  50 cm in front of the mirror 
D)  60 cm in front of the mirror 
E)  70 cm in front of the mirror 
A)  3 cm in front of the mirror 
B)  40 cm in front of the mirror 
C)  50 cm in front of the mirror 
D)  60 cm in front of the mirror 
E)  70 cm in front of the mirror

Question 6

The image formed by a concave mirror when the object is placed between the mirror and the focal point has the following characteristics:

Accepted Answer

A)  virtual, upright, enlarged, image distance is larger than object distance 
B)  virtual, upright, reduced, image distance is smaller than object distance 
C)  real, inverted, enlarged, image distance is larger than object distance 
D)  real, upright, enlarged, image distance is larger than object distance 
E)  virtual, inverted, reduced, image distance is smaller than object distance 
A)  virtual, upright, enlarged, image distance is larger than object distance 
B)  virtual, upright, reduced, image distance is smaller than object distance 
C)  real, inverted, enlarged, image distance is larger than object distance 
D)  real, upright, enlarged, image distance is larger than object distance 
E)  virtual, inverted, reduced, image distance is smaller than object distance

Question 7

The principal axis is the

Accepted Answer

A)  straight line drawn from the center of curvature to the mid point of the mirror. 
B)  straight line drawn from the center of curvature to any point of the mirror. 
C)  straight line drawn from the center of curvature to a point on the outer edge of the mirror. 
D)  straight line joining any two points on the mirror. 
E)  None of the other answers given is correct. 
A)  straight line drawn from the center of curvature to the mid point of the mirror. 
B)  straight line drawn from the center of curvature to any point of the mirror. 
C)  straight line drawn from the center of curvature to a point on the outer edge of the mirror. 
D)  straight line joining any two points on the mirror. 
E)  None of the other answers given is correct.

Question 8

An object is placed 60 cm from a convex lens of focal length 10 cm. What is the magnification?

Accepted Answer

A)  -0.10 
B)  0.10 
C)  0.15 
D)  0.20 
E)  -0.20 
A)  -0.10 
B)  0.10 
C)  0.15 
D)  0.20 
E)  -0.20

Question 9

An object at the center of curvature of a concave mirror forms an inverted image at the center of curvature itself.

Accepted Answer

A) True 
 B)False

Question 10

A 4.0 cm tall object is placed 60 cm away from a converging lens of focal length 30 cm. What is the nature and location of the image?

Accepted Answer

A)  The image is real, 2.5 cm tall, 30 cm on the same side as object. 
B)  The image is virtual, 2.5 cm tall, 30 cm on the other side of the lens. 
C)  The image is virtual, 2.0 cm tall, 15 cm on the other side of the lens. 
D)  The image is virtual, 4.0 cm tall, 60 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 real, 2.5 cm tall, 30 cm on the same side as object. 
B)  The image is virtual, 2.5 cm tall, 30 cm on the other side of the lens. 
C)  The image is virtual, 2.0 cm tall, 15 cm on the other side of the lens. 
D)  The image is virtual, 4.0 cm tall, 60 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 11

A convex lens always produces a virtual image.

Accepted Answer

A) True 
 B)False

Question 12

A concave lens always produces a virtual image.

Accepted Answer

A) True 
 B)False

Question 13

An object 2.0 cm in height is placed at the center of curvature C in front of a concave mirror. What is the height of its image?

Accepted Answer

A)  -0.50 cm 
B)  -1.0 cm 
C)  -1.5 cm 
D)  -2.0 cm 
E)  -6 cm 
A)  -0.50 cm 
B)  -1.0 cm 
C)  -1.5 cm 
D)  -2.0 cm 
E)  -6 cm

Question 14

A friend who is 180. cm tall stands 2.0 m from a plane wall mirror. You stand slightly behind him, 3.0 m from the wall mirror. How tall must the mirror be if you are to see all of your friend in the mirror?

Accepted Answer

The answer of A friend who is 180. cm tall...

Question 15

FIGURE 26-1  
-At an amusement park you stand between two plane mirrors, which intersect at an angle of 60°. You are positioned at point P in Figure 26-1. You are 1.0 m from the nearest mirror, and 15° above it. What is the distance from you to the nearest image and to the second nearest image?

Accepted Answer

The answer of FIGURE 26-1  
-At an amusement park...

Question 16

A 2.3 cm tall statue is 15. cm in front of a convex mirror. The mirror radius of curvature is 18. cm.
(a) Is the image real or virtual?
(b) How far is the image from the mirror?
(c) Is the image upright or inverted?
(d) How high is the image?

Accepted Answer

(a)virtual

Question 17

An optic fiber is made of clear plastic with index of refraction of 1.50. For what angle of incidence will light remain within the plastic "guide"?

Accepted Answer

A)  >21.1° 
B)  >23.4° 
C)  >38.3° 
D)  >40.3° 
E)  >41.8° 
A)  >21.1° 
B)  >23.4° 
C)  >38.3° 
D)  >40.3° 
E)  >41.8°

Question 18

State how to draw the three rays for finding the image position due to a curved mirror.

Accepted Answer

Ray 1 leaves the top of the object and i

Question 19

The focal length of a concave mirror is 20 cm. What is its radius of curvature?

Accepted Answer

A)  10 cm 
B)  40 cm 
C)  -40 cm 
D)  20 cm 
E)  -20 cm 
A)  10 cm 
B)  40 cm 
C)  -40 cm 
D)  20 cm 
E)  -20 cm

Question 20

FIGURE 26-3   Diff: 1 Var: 1 Page Ref: Sec. 26-6
-A 3.0 cm tall statue is 48. cm in front of a biconvex lens (focal length 20. cm).
(a) Is the image real or virtual?
(b) How far is the image from the lens?
(c) Is the image upright or inverted?
(d) How high is the image?

Accepted Answer

(a)real
(b

Exam 26: Geometrical Optics

State how to draw the three rays for finding the image position due to a thin lens.

Find Brewster's angle for light reflected from the top of a water surface (n = 1.33).

A laser beam strikes a plane's reflecting surface with an angle of incidence of 43°. What is the angle between the incident ray and the reflected ray?

You wish to obtain a magnification of -2 from a convex lens of focal length f. The only possible solution is to

A concave mirror has a focal length of 20 cm. A paraxial beam of light coming from a distant object forms its image at the focal point. If a small plane mirror is placed at the center of curvature with its reflecting side facing the focal point, where is the final image?

The image formed by a concave mirror when the object is placed between the mirror and the focal point has the following characteristics:

The principal axis is the

An object is placed 60 cm from a convex lens of focal length 10 cm. What is the magnification?

An object at the center of curvature of a concave mirror forms an inverted image at the center of curvature itself.

A 4.0 cm tall object is placed 60 cm away from a converging lens of focal length 30 cm. What is the nature and location of the image?

A convex lens always produces a virtual image.

A concave lens always produces a virtual image.

An object 2.0 cm in height is placed at the center of curvature C in front of a concave mirror. What is the height of its image?

A friend who is 180. cm tall stands 2.0 m from a plane wall mirror. You stand slightly behind him, 3.0 m from the wall mirror. How tall must the mirror be if you are to see all of your friend in the mirror?

FIGURE 26-1 -At an amusement park you stand between two plane mirrors, which intersect at an angle of 60°. You are positioned at point P in Figure 26-1. You are 1.0 m from the nearest mirror, and 15° above it. What is the distance from you to the nearest image and to the second nearest image?

A 2.3 cm tall statue is 15. cm in front of a convex mirror. The mirror radius of curvature is 18. cm. (a) Is the image real or virtual? (b) How far is the image from the mirror? (c) Is the image upright or inverted? (d) How high is the image?

An optic fiber is made of clear plastic with index of refraction of 1.50. For what angle of incidence will light remain within the plastic "guide"?

State how to draw the three rays for finding the image position due to a curved mirror.

The focal length of a concave mirror is 20 cm. What is its radius of curvature?

FIGURE 26-3 Diff: 1 Var: 1 Page Ref: Sec. 26-6 -A 3.0 cm tall statue is 48. cm in front of a biconvex lens (focal length 20. cm). (a) Is the image real or virtual? (b) How far is the image from the lens? (c) Is the image upright or inverted? (d) How high is the image?

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