Topic 4: Spherical Mirrors (Concave & Convex) (Imp)

Spherical Mirrors

A spherical mirror is a mirror whose reflecting surface forms part of a sphere.

Types of Spherical Mirrors

  • Concave mirror
  • Convex mirror

Important Terms Related to Spherical Mirrors

  • Pole (P): Centre of reflecting surface
  • Centre of Curvature (C): Centre of the sphere of which mirror is a part
  • Radius of Curvature (R): Distance between P and C
  • Principal Axis: Line passing through P and C
  • Focus (F): Point where parallel rays meet or appear to meet
  • Focal Length (f): Distance between P and F

Concave Mirror

A concave mirror has its reflecting surface curved inward. It is also called a converging mirror.

Image Formation by Concave Mirror

  • Can form real and virtual images
  • Real images are inverted
  • Used in shaving mirrors, headlights, solar cookers

Convex Mirror

A convex mirror has its reflecting surface curved outward. It is also called a diverging mirror.

Image Formation by Convex Mirror

  • Always forms virtual and erect images
  • Image is diminished
  • Used as rear-view mirrors in vehicles

Relation Between Radius of Curvature and Focal Length

f = R / 2

Mirror Formula

1/f = 1/v + 1/u

Magnification

m = hi / ho = −v / u

Q1. A spherical mirror is a part of:
A) Plane surface
B) Cylindrical surface
C) Spherical surface
D) Parabolic surface

Answer: C


Q2. A concave mirror is also known as:
A) Diverging mirror
B) Plane mirror
C) Converging mirror
D) Cylindrical mirror

Answer: C


Q3. Convex mirror always forms images which are:
A) Real and inverted
B) Real and erect
C) Virtual and erect
D) Virtual and inverted

Answer: C


Q4. Focal length of a spherical mirror is:
A) Equal to radius of curvature
B) Half of radius of curvature
C) Double the radius of curvature
D) Zero

Answer: B


Q5. Mirror formula is:
A) 1/f = 1/u − 1/v
B) 1/f = 1/v + 1/u
C) f = u + v
D) f = uv

Answer: B


Q6. Magnification produced by a mirror is given by:
A) v/u
B) u/v
C) −v/u
D) −u/v

Answer: C


Q7. Which mirror is used as rear-view mirror in vehicles?
A) Plane mirror
B) Concave mirror
C) Convex mirror
D) Cylindrical mirror

Answer: C


Q8. Concave mirror can form:
A) Only virtual images
B) Only real images
C) Both real and virtual images
D) Only erect images

Answer: C

Chapter 12: Optics

Topic 4: Spherical Mirrors – Quick Revision

1. Spherical Mirrors

Mirrors whose reflecting surface is a part of a sphere.

2. Types

  • Concave mirror – converging
  • Convex mirror – diverging

3. Important Relations

f = R / 2

4. Mirror Formula

1/f = 1/v + 1/u

5. Magnification

m = −v / u

6. Image Nature

  • Concave mirror: real or virtual
  • Convex mirror: always virtual and erect

Exam Focus (MHT-CET)

Numericals are frequently asked using mirror formula, magnification and image nature.


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