This MCQ module is based on: Concave and Convex Mirrors and Their Uses
Concave and Convex Mirrors and Their Uses
10.5 Drawing Ray Diagrams
To predict the image formed by any curved mirror, we trace just two out of four special rays. Wherever these two reflected rays meet (or appear to meet), the image forms.
- A ray parallel to the principal axis reflects through F (concave) or appears to come from F (convex).
- A ray passing through F (concave) reflects parallel to the principal axis.
- A ray passing through C retraces its own path — it hits the mirror normally.
- A ray striking the pole reflects symmetrically about the principal axis.
10.6 Images in a Concave Mirror — Six Cases
(a) Object at Infinity
Rays from a very distant object (like the Sun) reach the mirror practically parallel, so they converge at the focus F. The image is a tiny, inverted, highly bright point. This is how solar cookers work!
(b) Object Beyond Centre of Curvature (C)
Image forms between F and C. It is real, inverted and diminished.
(c) Object at C
Image forms at C itself — real, inverted and the same size as the object.
(d) Object Between C and F
Image forms beyond C — real, inverted and enlarged. This is the principle of a movie projector.
(e) Object at F
Reflected rays leave parallel to each other. They never meet, so the image is formed at infinity — extremely large and inverted. This is how a searchlight or torch reflector throws out a parallel beam.
(f) Object Between P and F
Both reflected rays diverge, so they appear to come from a point behind the mirror. The image is virtual, erect and enlarged. This is what you see in a shaving or dentist's mirror.
| Object Position | Image Position | Nature | Size |
|---|---|---|---|
| At infinity | At F | Real, inverted | Point-sized |
| Beyond C | Between F and C | Real, inverted | Diminished |
| At C | At C | Real, inverted | Same size |
| Between C and F | Beyond C | Real, inverted | Enlarged |
| At F | At infinity | Real, inverted | Very large |
| Between P and F | Behind mirror | Virtual, erect | Enlarged |
10.7 Images in a Convex Mirror
A convex mirror has a simpler life — wherever the object is, the image is always:
- Virtual (behind the mirror),
- Erect (same way up),
- Diminished (smaller than the object).
10.8 Where These Mirrors Help Us
(a) Concave Mirror — the Converger
(b) Convex Mirror — the Diverger
You will need: a small concave mirror (shaving mirror or spoon), a sunny window, a thick piece of dark paper.
- Take the mirror outside under the Sun (always supervise with an adult).
- Hold the concave side facing the Sun so sunlight falls on it.
- Place the dark paper on the other side and move it closer / farther until a bright spot becomes as small as possible.
- Measure the distance from the paper to the mirror.
The tiny bright spot is the image of the Sun formed at the focus of the concave mirror. Its distance from the pole equals the focal length (f). Because all the Sun's energy striking the mirror is concentrated into a tiny area, the paper may darken or even start smoking — the same principle powers a solar cooker.
Caution: Never focus sunlight on skin, eyes or flammable items.
🎯 Competency-Based Questions
Q1. L1 Remember At which point should the cooking vessel be placed on the solar cooker's concave dish?
Q2. L2 Understand For the hill-road safety mirror, which mirror is chosen and why?
Q3. L3 Apply An object is placed 10 cm in front of a concave mirror of focal length 15 cm. Will the image be real or virtual? Why?
Q4. L4 Analyse Why is a convex mirror preferred over a plane mirror of the same size on a car, even though a convex mirror makes vehicles appear smaller?
Q5. L5 Evaluate Ravi claims: "A dentist should use a convex mirror because it shows a large field of view of the mouth." Evaluate.
🔗 Assertion–Reason Questions
Assertion (A): A concave mirror can be used as a solar cooker.
Reason (R): A concave mirror converges parallel rays of sunlight to a single focus, producing intense heat.
Assertion (A): "Objects in mirror are closer than they appear" is written on vehicle side mirrors.
Reason (R): Side mirrors are concave and always produce enlarged images.
Assertion (A): A concave mirror with the object at its focus sends out a parallel beam of light.
Reason (R): A ray coming from F reflects parallel to the principal axis.