Spherical Mirrors - Concave and Convex - UNSOLVED PRACTICE SET

Q7. What is a concave mirror? How does it differ from a convex mirror in terms of the reflecting surface and the behaviour of reflected rays?

Q8. State the relationship between the radius of curvature (R) and focal length (f) of a spherical mirror. If R = 24 cm, what is f?

Q9. Trace the path of a ray of light that is parallel to the principal axis of:
(a) a concave mirror, and
(b) a convex mirror. What is the difference in the reflected rays? 

Q10. Why does a concave mirror produce a large, magnified image when an object is placed close to it (between F and P)? Give one practical use of this property in India

Q11. Why is a convex mirror used as a security mirror in supermarkets and department stores rather than a concave or plane mirror?

Q12. Describe the image formed by a concave mirror when the object is placed:
(a) beyond C,
(b) at C, and
(c) between F and P.

Q13. Explain image formation by a concave mirror for all standard object positions. Your answer must cover:
(a) object at infinity,
(b) object beyond C,
(c) object at C,
(d) object between F and C,
(e) object at F, and
(f) object between F and P. For each position, state the location, nature (real/virtual), and size (magnified/diminished/same) of the image.

Q14. A concave mirror and a convex mirror are placed on a table. Without using labels, describe three tests a student can perform to identify which is which. Your answer must:
(a) describe the test with a distant object,
(b) describe what happens when the student's face is placed close to each mirror,
(c) explain what happens when a parallel beam of light hits each mirror,
(d) use the concept of converging vs diverging behaviour, and
(e) state which mirror always forms a virtual image regardless of object distance.

Q15. Compare concave and convex mirrors under the following headings:
(a) shape of reflecting surface,
(b) convergence or divergence of reflected rays,
(c) position and nature of principal focus, 

(d) range of images formed (virtual only / real and virtual), and 

(e) two uses of each type in daily Indian life with justification for why that particular mirror is chosen for each use.

Q16. A concave mirror has a radius of curvature 40 cm.
(a) Find its focal length.
(b) An object is placed 60 cm in front of the mirror. Using the mirror formula, find the image distance. 

(c) Is the image real or virtual? On which side of the mirror is it formed?

Q17. A convex mirror used as a rear-view mirror in a car has a focal length of 20 cm. A truck 3 m tall is 4 m behind the mirror.
(a) Find the image distance.
(b) Find the image height using magnification. 

(c) Is the image erect or inverted? 

(d) Why does the image appear smaller than the actual truck?

Q18. An object is placed in front of a concave mirror of focal length 10 cm. The image is formed at 30 cm in front of the mirror.
(a) Find the object distance using the mirror formula.
(b) Calculate the magnification.
(c) Is the image erect or inverted? Magnified or diminished?
(d) In what practical device might this set-up be used?