Practice Image Formation in Physics

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

Image formation is the process by which reflected or refracted light creates an image that can be real or virtual, upright or inverted, and magnified or reduced.

Your eye or a screen sees an image based on where the outgoing rays meet or appear to meet.

Showing a random 20 of 50 problems.

Example 1

easy
Can a virtual image be projected onto a screen?

Example 2

challenge
An object placed 10 cm from a lens gives an upright image 3 times as tall. Find the focal length.

Example 3

hard
Why does a virtual image lack the ability to be projected, even though we still call it an image?

Example 4

medium
A real image is 1/31/3 the object's height and at di=20d_i = 20 cm. Find dod_o.

Example 5

challenge
A concave mirror with f=20f=20 cm forms an image with hi=5 cmh_i = -5 \text{ cm} when the object is 4 cm tall. Find dod_o and did_i.

Example 6

medium
A convex (diverging) mirror with f=20 cmf = -20 \text{ cm} shows an object at do=30 cmd_o = 30 \text{ cm}. Find did_i.

Example 7

medium
A concave mirror (f=15 cmf=15 \text{ cm}) has an object at do=10 cmd_o=10 \text{ cm}. Find did_i and mm.

Example 8

hard
A 2 cm coin is viewed through a magnifying glass (f=5f=5 cm) held 4 cm above. Find the apparent height of the image.

Example 9

easy
If m<1|m| < 1, is the image larger or smaller than the object?

Example 10

medium
An object is placed at the focal point of a converging lens. Where does the image form?

Example 11

medium
An image is upright and the same size as the object. What is the magnification, and what optical element gives this for any object distance?

Example 12

medium
A lens forms an image with do=25 cmd_o = 25 \text{ cm} and di=50 cmd_i = -50 \text{ cm}. Find the magnification and describe the image.

Example 13

easy
A virtual image from a single converging lens or mirror is oriented how?

Example 14

medium
A lens gives do=15 cmd_o=15 \text{ cm} and di=30 cmd_i=-30 \text{ cm}. Describe the image type and orientation.

Example 15

medium
A diverging lens has f=10 cmf = -10 \text{ cm}. An object sits at do=20 cmd_o = 20 \text{ cm}. Find did_i.

Example 16

easy
An object 6 cm tall forms an image 3 cm tall and upright. Find the magnification.

Example 17

hard
An object is at do=2fd_o = 2f in front of a converging lens. Find did_i in terms of ff, and find mm.

Example 18

easy
Why are virtual images still considered genuine images even though they cannot be projected?

Example 19

easy
A plane mirror always produces what kind of image?

Example 20

medium
A real image forms at di=20 cmd_i = 20 \text{ cm} and is half the object's height. Find the object distance.