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Solved problems for the chapter:

Curved Mirrors

View the theory »

Optical Imaging - Mirrors

1. Plane mirror

2. Concave or convex mirror

2.1. Image formation by concave mirror

2.2. Focal length

2.3. Mirror equations

3. Convex or diverging mirror

4. Forum

↓ Show theory [1] ↓

Detailed solution steps are available at:

https://en.openprof.com/wb/chapter:curved_mirrors/5123/

Example 1.

A concave mirror is 6 m away from the screen. An object is placed half-way between the screen and the mirror.

What should be the radius of the concave mirror for the image on the screen to be sharp?
What will be the magnification?

Example 2.

How does the distance of an image from the vertex of a concave mirror change if we change the distance of the object? The focal length of the mirror is 20 cm.

A concave mirror is made of a ball cap with a radius of 60 cm. An object 4 cm high is placed at a distance of 40 cm in front of the mirror. Where and what will be its image?

A canvas is placed at a distance of 4 m in front of a concave mirror. We want to project the object on the screen.

Where do we need to place the screen to obtain an image that is four times the size of the object?
What should be the focal length of the mirror?

A dentist uses a concave mirror with a focal length of 2 cm to examine teeth. In the mirror, he sees a tooth as an upright and three-times magnified image.

At what distance from the tooth does the dentist place the mirror?
Where is the image of the tooth?

The focal length of a concave mirror is 12 cm. Where do we place the object so that:

the image will be upright and magnified three times?
the image will be inverted and magnified three times?

An object is placed in front of a concave mirror at a distance of 16 cm. A virtual image appears at a distance of 40 cm behind the mirror. What is the radius of the mirror?

An object is placed at a distance of 10 cm in front of a convex mirror. Plot the graph of the distance of the image against the focal length of the mirror. Describe the image of the object.

The radius of a convex mirror is 60 cm. An object is placed 15 cm from the mirror.

Where is the image formed?
What is the magnification?

10.

An object, 10 cm high, is placed in front of a convex mirror of radius 60 cm. The image is 2 cm high.

Where is the object placed?
Where is the image formed?

11.

A silver-plated glass ball has a radius of 20 cm. A lamp is placed at a distance of 50 cm from the centre of the ball. Where is the image of the lamp?

12.

An object stands at a distance of 24 cm in front of a concave mirror. Its image is reduced 6 times.

What is the image distance and the focal length of the mirror?
If the mirror is replaced with a convex mirror, what is the image distance and the focal length of the mirror?
What is the difference between the images produced by both mirrors?