LIGHT, CLASS 10, NUMERICAL ON MIRROR

 SHARMA CLASSES BHARATPUR

Class 10 numerical on mirrors

1.    A 5 cm tall object is placed perpendicular to the principal axis of a convex lens of focal- length 20 cm. The distance of the object from the lens is 30 cm. Find the:
(i) position
(ii) nature
(iii)  size of the image formed.

2.    4.5 cm needle is placed 12 cm away from a convex mirror of focal length 15 cm. Give the location of image and magnification. Describe what happens to the image as the needle is moved farther from the mirror.

3.    Rohit placed a pencil perpendicular to principal axis in front of a converging mirror of focal length 30 cm. The image formed is twice the size of the pencil. Calculate the distance of the object from the mirror.

4.    An object is placed at a distance of 25 cm away from a converging mirror of focal length 20 cm. Discus the effect on the nature and position of the image if the position of the object changes from 25 cm to 15 cm. Justify your answer without using mirror formula.

5.    We wish to obtain an erect image of an object, using a concave mirror of focal length 15 cm. What should be the range of distance of the object from the mirror? What is the nature of the image? Is the image larger or smaller than the object?

6.    The magnification produced by a plane mirror is +1. What does this mean?

7.    An object 5.0 cm in length is placed at a distance of 20 cm in front of a convex mirror of radius of curvature 30 cm. Find the position of the image, its nature, and size.

8.    An object of size 7.0 cm is placed at 27 cm in front of a concave mirror of focal length 18 cm. At what distance from the mirror should a screen be placed so that a sharply focused image can be obtained? Find the size and nature of the image.

9.    An object 3 cm high is placed at a distance of 8 cm from a concave mirror which produces a virtual image 4.5
cm high:
(i) What is the focal length of the mirror?
(ii) What is the position of image?
(iii) Draw a ray-diagram to show the formation of image.

10. An object of size 7.0 cm is placed at 27cm in front of a concave mirror of focal length 18 cm. At what distance
from the mirror should a screen be placed so that a sharp focused image can be obtained? Find the size and nature of image.

11. An object 3 cm high is placed at a distance of 10cm in front of a converging mirror of focal length 20 cm. Find the position, nature and size of the image formed.

12. A dentist’s mirror has a radius of curvature of 3 cm. How far it must be placed from a small dental cavity to give a virtual image of the cavity that is magnified five times?

 

13. An object of 5.0 cm size is placed at a distance of 20.0 cm from a converging mirror of focal length 15.0 cm. At what distance from the mirror should a screen be placed to get the sharp image? Also calculate the size of the image.

 

14. A bright object 50 mm high stands on the axis of a concave mirror of focal length 100 mm and at a distance of 300 mm from the concave mirror. How big will the image be?

 

15. When an object is placed at a distance of 50 cm from a concave spherical mirror, the magnification produced is – 1/2. Where should the object be placed to get a magnification of, - 1/5?

 

16. 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 the focal length of the mirror

17. A man holds a spherical shaving mirror of radius of curvature 60 cm, and focal length 30 cm, at a distance of 15 cm, from his nose. Find the position of image, and calculate the magnification

18. An object is placed at a distance of 6 m from a convex mirror of focal length 12 cm. Find the position and nature of the image.

 

19. An arrow 2.5 cm high is placed at a distance of 25 cm from a diverging mirror of focal length 20cm. Find the nature, position and size of the image formed.

 

20. A convex mirror used as a rear view mirror in a car has a radius of curvature of 3m. If a bus is located at a distance of 5 meter from this mirror, find the position of image. What is the nature of the image?

 

21. The radius of curvature of a convex mirror used as a rear view mirror in a moving car is 2.0m. A truck is coming from behind it at a distance of 3.5 meter. Calculate (a) position and (b)size of the image relative to the size of the truck. What will be the nature of the image?

22. A shop security mirror 5.0 from certain items displayed in the shop produces one-tenth magnification. (a) What is the type of mirror? (b) What is the radius of curvature of the mirror?

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