Question 1

A person stands 2 meters in front of a plane mirror. How far behind the mirror does the image appear to be located?

Accepted Answer

$$2\ \mathrm{m}$$

Question 2

You want to install the shortest possible wall mirror that will let you see all of yourself when you stand straight. Where must the bottom edge of the mirror be placed?

Accepted Answer

Halfway between the floor and the level of your eyes.

Question 3

A pencil is placed vertically in front of a plane mirror. If the top half of the mirror is covered with dark paper, what do you see in the mirror?

Accepted Answer

The full image of the pencil.

Question 4

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

Accepted Answer

Virtual, upright, and the same size as the object.

Question 5

The lateral magnification $$m$$ for a plane mirror is given by which of the following equations?

Accepted Answer

$$m = \frac{y'}{y}$$

Question 6

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

Accepted Answer

$$f = 20\ \mathrm{cm}$$

Question 7

Which of the following is the correct mirror equation for a spherical mirror?

Accepted Answer

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

Question 8

A lamp is placed $$10\ \mathrm{cm} in $$front of a concave spherical mirror that forms an image of the filament on a screen placed $$30\ \mathrm{cm}$$ from the mirror. What is the radius of curvature $$R of $$the mirror?

Accepted Answer

$$R = 19.4\ \mathrm{cm}$$

Question 9

A convex mirror has a focal length of $$-15\ \mathrm{cm}. An $$object is placed $$30\ \mathrm{cm} in $$front of the mirror. Where is the image located?

Accepted Answer

$$s' = -10\ \mathrm{cm}$$

Question 10

A concave vanity mirror is designed to produce an image of your face that is enlarged and upright. Where should you position your face relative to the mirror?

Accepted Answer

Closer than the focal point.

Question 11

A convex mirror always forms which type of image for a real object?

Accepted Answer

Upright, virtual, and diminished.

Question 12

If an object is placed at the center of curvature of a concave mirror, what are the characteristics of the image?

Accepted Answer

Real, inverted, and same size as the object.

Question 13

A car's passenger-side mirror is a convex mirror. Which of the following statements best explains why this is useful for drivers?

Accepted Answer

It provides a wider field of view by forming diminished, upright images.

Question 14

A spherical mirror has a radius of curvature $$R. $$What is the sign of $$R$$ for a concave mirror, according to the sign convention?

Accepted Answer

$$R is $$positive.

Question 15

A dentist uses a concave mirror to examine a tooth. The tooth is placed between the mirror and its focal point. What type of image is formed?

Accepted Answer

Virtual, upright, and enlarged.

Question 16

If the lateral magnification $$m of a $$mirror is negative, what does this indicate about the image?

Accepted Answer

The image is inverted.

Question 17

A spherical Christmas ornament acts as a convex mirror. If Santa stands $$75\ \mathrm{cm}$$ away from the ornament with a diameter of $$20\ \mathrm{cm}$$, what is the focal length of the mirror?

Accepted Answer

$$f = -10\ \mathrm{cm}$$

Question 18

Which of the following statements about the image distance $$s' in a $$plane mirror is correct?

Accepted Answer

$$s' = -s$$

Question 19

A real object is placed $$15\ \mathrm{cm} in $$front of a convex mirror with a focal length of $$-10\ \mathrm{cm}. $$What is the magnification of the image?

Accepted Answer

$$m = 0.4$$

Question 20

A spherical mirror forms an image with a magnification $$|m| \u003e 1. $$Which of the following is true about the image?

Accepted Answer

The image is larger than the object.

Geometric Optics: Reflection at Plane and Spherical Surfaces

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