MORDEN CLASSES

BY NIKHIL SIR (📱9506245704)

1.The incident ray makes an angle of 30with the surface of a plane mirror. Find the angle of reflection.
(Ans: 60°)

2. A light ray strikes a flat, smooth, reflecting surface at an angle of 80to the normal. What is the angle
that the reflected ray makes with the surface of the mirror? (Ans: 10°)

3. Light from a laser strikes a plane mirror at an angle of 38to the normal. If the laser is moved so that
the angle of incidence increases by 13. What is the new angle of reflection? (Ans: 5l

4. A plane mirror is approaching you at a speed of 10 cm/sec. You can see your image in it. At what
speed will your image approach you? (Ans: 20~cm/sec)

5. Two plane mirrors are positioned at right angles to one another. A ray of light strikes one mirror at an
angle of 30^{\circ} to the normal. It then reflects toward the second mirror. What is the angle of
reflection of the light ray off the second mirror? (Ans: 60°)

6. An object is 36.0 cm in front of a concave mirror with a 16.0 cm focal length. Determine the image
position. (Ans:-28.8 cm)

7. A 3.0 cm tall object is 20.0 cm from a 16.0 cm radius concave mirror. Determine the image position
and image height. (Ans: -2.0 cm)

8. A concave mirror has a 7.0 cm focal length. A 2.4 cm tall object is 16.0 cm from the mirror.
Determine the image height. (Ans: -1.9 cm)

9. An object is near a concave mirror of 10.0 cm focal length. The image is 3.0 cm tall, inverted, and
16.0 cm from the mirror. What are the object position and object height? (Ans: u=26.7~cm
ho=5.0~cm)

10. An object of 4 cm height is placed at a distance of 18 cm from concave mirror having focal length
12 m. Find the position, nature and height of the image. (Aas:v=.36~cm_{c} height of image =-8~cm)

11. A dentist mirror (concave) has a radius of curvature of 3 cm. How far must it be placed from a
small dental cavity to give virtual image of cavity that is magnified 5 times? (Ans;-1.2~cm)

12. An object of 5 cm height is placed at a distance of 12 cm in front of a concave mirror. It forms a

13. An object 4 cm. in size is placed at 25 cm. in front of concave mirror of focal length 15 cm. At what
distance from the mirror should a screen be placed in order to obtain a sharp image? Find the nature
and the size of the image. (Ans: v-37.5 cm h^{}=-6~cm inverted and enlarged)

14. An object 2 cm high when placed in front of a converging mirror produces a virtual image 3 cm
high. If the object is placed at a distance of 8 cm from the pole of the mirror, calculate: (1) the position
of the image, (n) the focal length of the converging mirror. (Ans: concave mirror, v=12 cm, f=-24 cm)
15. A convex mirror has a focal length of 13.0 cm. A light bulb with a diameter of 6.0 cm is placed 60.0
cm from the mirror. What is the light bulb’s image position and diameter? (Ans: 10.7 cm, 1.1 cm)

16. A convex mirror is needed to produce an image that is three-fourths the size of an object and
located 24 cm behind the mirror. What focal length should be specified? (Ans:-96 cm)

17. A 7.6 cm diameter ball is located 22.0 cm from a convex mirror with a radius of curvature of 60.0
cm. What are the ball’s image position and diameter? (Ans: -12.7 cm, 4.4 cm)

18. A 1.8 m tall girl stands 2.4 m from a store’s security mirror. Her image appears to be 0.36 m tall.
What is the focal length of the mirror? (Ans: 0.60 m)

19. The radius of curvature of a convex mirror used on a moving automobile is 2 m. A truck coming
behind it is at a constant distance of 3 m. Calculate the position, size and nature of the image formed.
(Ans: image is at a distance 0.75 m from the mirror on the side opposite to the object, size of the
image is 0.25 times the object. The image is virtual, diminished and erect)

20. An object is placed at a distance 10 cm from a convex mirror of focal length 15 cm. What will be
the nature the image? (Ans: a virtual and erect image, at a distance of 6cm from the optical center of
the mirror on the right hand side of the mirror.)

21. An object is placed at 20 cm in front of a convex mirror of focal length 10 cm. Find the image
distance and magnification. (Ans: image distance v-6.66 cm. magnification-0.33)

22. A convex mirror is fitted on an automobile with focal length of 3 m. If a vehicle following the
automobile is at a distance of 5 m, determine the position and nature of an image. (Ans: virtual, erect
and diminished image at a distance of 1.875 m from the mirror.)

23. An object of height 6 cm is placed at a distance of 15 cm from a concave mirror of focal length 10
cm. Find position, nature and height of the image. (Ans: v-30 cm, height 12 cm, real, inverted and
magnified).

24. An object of height 5 cm is placed at a distance of 10 cm from convex mirror of focal length 15 cm.
Find the position, nature and size of an image. (Ans: Virtual, erect, and diminished, at a distance of 6
cm behind the mirror, height of image-6 cm

25. A convex mirror is used as a safety mirror in a shop. It has a focal length of 15 m. A person is
standing 12 m away from this mirror. Find the position of his image. (Ans: v-6.667 m, image behind the
mirror).

26. An object of height 6 cm is placed 18 cm away from a concave mirror. The image is formed 12 cm
before the mirror. Find out the following: (i) Focal length of the mirror (f) (ii) Radius of curvature ® (iii)
Image height (h) (iv) Magnification of the mirror (m). (Ans: height of image = 4 cm (real and inverted),
R=14.4 cm, m=-0.67)

27. A convex mirror used for rear view on an automobile has a radius of curvature 3.00 m. If a bus is
located at 5 m from the mirror, find position, nature and relative size of the image. (Ans: f-1.5 m, v1.15
m, m 0.23, virtual erect and smaller in size by a factor of 0.23)

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