Question 1

A person is looking at themselves in a flat bathroom mirror. If the person stands 2 meters in front of the mirror, what is the distance between the person and their image?

Accepted Answer

$$4\ 	ext{m}$$

Question 2

Which of the following statements about the image formed by a plane mirror is correct?

Accepted Answer

The image is virtual and upright.

Question 3

A concave mirror has a radius of curvature $$R = 40\ 	ext{cm}. $$What is its focal length?

Accepted Answer

$$20\ 	ext{cm}$$

Question 4

A lamp filament $$5.0\ 	ext{mm}$$ high is placed $$10\ 	ext{cm} in $$front of a concave mirror. The image forms on a screen $$3.0\ 	ext{m}$$ from the mirror. What is the lateral magnification?

Accepted Answer

$$m = -30$$

Question 5

Which of the following best describes the image formed by a convex mirror?

Accepted Answer

Always virtual and upright

Question 6

A spherical mirror has a focal length $$f = -10\ 	ext{cm}. $$What type of mirror is it?

Accepted Answer

Convex mirror

Question 7

A real object is placed at a distance $$s = 30\ 	ext{cm}$$ from a concave mirror with radius of curvature $$R = 20\ 	ext{cm}. $$Using the mirror equation $$\frac{1}{s} + \frac{1}{s'} = \frac{1}{f}$$, where is the image formed?

Accepted Answer

$$s' = 12\ 	ext{cm}$$

Question 8

A lens is thickest at its center and has a positive focal length. What type of lens is this?

Accepted Answer

Converging lens

Question 9

Which principal ray for a concave mirror passes through the focal point after reflection?

Accepted Answer

A ray parallel to the optical axis

Question 10

A bundle of rays incident on a lens diverges after refraction. The lens has a negative focal length. What type of lens is this?

Accepted Answer

Diverging lens

Question 11

A contact lens is an example of which optical device?

Accepted Answer

Thin lens

Question 12

A flexible endoscope used in medical procedures relies on which optical principle to transmit images?

Accepted Answer

Total internal reflection in optical fibers

Question 13

A convex mirror has a radius of curvature $$R = -50\ 	ext{cm}. $$What is its focal length?

Accepted Answer

$$f = -25\ 	ext{cm}$$

Question 14

A real object is placed at $$s = 5\ 	ext{cm} in $$front of a concave mirror with $$R = 20\ 	ext{cm}. $$What is the nature of the image?

Accepted Answer

Virtual and upright

Question 15

Which equation correctly relates the object distance $$s$$, image distance $$s'$$, and focal length $$f$$ for a thin lens?

Accepted Answer

$$\frac{1}{s} + \frac{1}{s'} = \frac{1}{f}$$

Question 16

Santa checks his reflection in a shiny spherical Christmas ornament with $$R = -3.60\ 	ext{cm}$$ and stands $$75.0\ 	ext{cm}$$ away. What is the focal length of the ornament?

Accepted Answer

$$f = -1.80\ 	ext{cm}$$

Question 17

Which of the following is true for the lateral magnification $$m of a $$spherical mirror?

Accepted Answer

$$m = -\frac{s'}{s}$$

Question 18

Which principal ray for a convex mirror appears to come from the focal point after reflection?

Accepted Answer

A ray parallel to the optical axis

Question 19

A thin lens has radii of curvature $$R_1 = +10$$\ 	ext{cm}$$ and R_2$ = -10\ 	ext{cm}$$, and refractive index $$n = 1.5. $$What is its focal length?

Accepted Answer

$$f = 6.67\ 	ext{cm}$$

Geometric Optics: Mirrors and Lenses

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