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Question

The line joining the centre of curvature and the pole of a given spherical mirror is called __________.

This question was previously asked in
RRB NTPC 2024 Undergraduate CBT 1 Question Paper (29-Aug-2025) (Shift 1)
The correct answer is
principal axis

Spherical Mirror Definitions Explained

Understanding the components of a spherical mirror is essential for learning about optics. Let's define the key terms involved:

  • Pole (P): The pole of a spherical mirror is the midpoint of the actual reflecting surface.
  • Center of Curvature (C): A spherical mirror is a part of a sphere. The center of this imaginary sphere is called the center of curvature.
  • Radius of Curvature (R): This is the radius of the sphere from which the mirror is made. It represents the distance from the center of curvature (\(C\)) to any point on the mirror's surface, including the pole (\(P\)). Therefore, the distance \(PC = R\).
  • Principal Focus (F): This is a specific point located on the principal axis. For concave mirrors, it's where parallel light rays converge after reflection. For convex mirrors, it's the point from which parallel light rays appear to diverge after reflection.
  • Focal Length (f): This is the distance between the pole (\(P\)) and the principal focus (\(F\)). For spherical mirrors, the focal length is exactly half of the radius of curvature, expressed as \(f = R/2\).

Identifying the Principal Axis

The question asks to identify the line that connects the center of curvature (\(C\)) and the pole (\(P\)) of a spherical mirror. Based on the standard definitions in optics:

  • The principal axis is defined as the straight line that passes through both the pole (\(P\)) and the center of curvature (\(C\)) of a spherical mirror.
  • This axis is a fundamental reference line for understanding image formation and mirror properties.
  • Points like the principal focus (\(F\)) are always located on this axis.

Therefore, the line joining the center of curvature and the pole of a given spherical mirror is called the principal axis.

Summary of Spherical Mirror Components
Term Description
Pole (P) Center of the mirror surface.
Center of Curvature (C) Center of the sphere the mirror belongs to.
Principal Axis The line passing through P and C.
Principal Focus (F) Point on the principal axis for convergence/divergence of light.
Radius of Curvature (R) Distance \(PC\).
Focal Length (f) Distance \(PF\), where \(f = R/2\).

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Similar Questions

  1. An object is placed at a distance of 20 cm from a convex lens of focal length 10 cm. The image is formed at a distance of:

  2. When white light is dispersed by a glass prism into seven colours, out of the following colours which colour will be deviated the least?

  3. When a ray of light travels from a denser medium to a rarer medium, it bends ________.

  4. If the angle of incidence formed on a concave mirror at a point is 30 °  then the angle of reflection will be:
  5. In a concave mirror when the object is placed at infinity which of the following applies to the image?

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Important Questions from Optics

  1. Who was the first one to use a glass prism to obtain the spectrum of sunlight?

  2. Twinkling of stars is due to:

  3. In which a convex mirror is used?

    A. Rear View mirrors in vehicles

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    C. Makeup Mirror

    D. Kaleidoscope

  4. What is the reason for formation of Mirage in desert?

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