1.A 2.0 cm high object is placed perpendicular to the principal axis of a concave mirror. The distance of the object from the mirror is 30cm, and its images formed 60 cm from the mirror, on the same side of the mirror as the object. Find the height of the image formed.

Ans.4.0 cm

2. Find the position size and the nature of the image formed by a spherical mirror from the following data.

u=-20cm,f=-15cm, object – height=1.0cm

Ans. 60 cm from the mirror, image height 3.0cm

3. A concave mirror forms an inverted image of an object placed at a distance of 12 cm from it. If the image is twice as large as the object, where is it formed?

Ans. 24cm

4.A concave mirror forms An erect image of an object placed at a distance of 10 cm from it. The size of the image is double that of the object. Where is the image formed?

Ans. 20cm

5. An object is placed 20cm from a convex mirror. Its images formed 12 cm from the mirror. Find the focal length of the mirror.

Ans. 30cm

6. An object is placed at a distance of 12 cm from a convex mirror of radius of curvature 12 cm. Find the position of the image.

Ans. 4 cm,behind the mirror

7. If the height of the object in the previous problem is 1.2 cm, what will be the height of the image?

Ans. 0.4 cm

8. If the magnification of a body of size 1 m is 2, what is the size of the image?

Ans. 2 metre

9. An object of 4.0 cm height is placed 40.0 cm in front of a concave mirror of focal length 20.0 cm. Find the distance from the mirror at which a screen be placed in order to obtain a sharp image. Also find the size and nature of the image formed.

Ans. v = - 40 cm, - 4 cm real

10. An object 5 cm high is placed 20cm in front of a concave mirror of focal length 15 cm. At what distance from the mirror,should a screen be placed to obtain a sharp image? Calculate the size of the image formed.

Ans.v=-60cm image size=15 cm

11. An object of length 2 cm is placed at a distance of 30cm in front of a convex mirror of radius of curvature 50cm. Find the position of the image, its nature and size.

Ans.0.91cm

12. A concave mirror produces a real image 1 cm tall of an object 2.5 mm tall placed 5 cm from the mirror. Find the position of the image and focal length of the mirror.

Ans.v=-20cm, The image is formed 20cm in front of the mirror, 4 cm

13. A concave mirror produces three times magnified (enlarged) real image of an object placed at 10 cm in front of it. Where is the image located?

Ans. 30cm on its left side

14. An object is placed 15 cm from (a) a converging mirror and (b) a diverging mirror, of radius of curvature 20 cm. Calculate the image position and magnification in each case.

Ans.v=-30cm,m=-2

15. An object 20 cm from a spherical mirror give rise to virtual image 15 cm behind the mirror. Determine the magnification of the image and the type of mirror used.

Ans.m=+0.75, convex mirror