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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. When an object is placed at infinity in front of a convex lens, the image formed is:
  2. A concave mirror is used in torches and car headlights because it:
  3. Which of the following statements correctly describes a double concave lens?
  4. A convex mirror of focal length f (in air) is immersed in a liquid . The focal length of the mirror in liquid \(\left( {\mu - \frac{4}{3}} \right)\) will be:

  5. The reflector of a searchlight is a:

  6. If you look into a mirror and find that the image (your reflexion) is smaller than you, then the type of the mirror is:

  7. The focal length of a concave mirror with a radius of curvature of 20.0 cm is:

  8. Find the position of the image formed by a concave mirror when the object is placed between P and F?

  9. A person holding a pen in his left-hand sees his reflection in the mirror holding the pen in his right hand. This is due to which of the following phenomena?

  10. Complete the statement with correct option.
    In dispersion without deviation,_________________

Important Questions from Optics

  1. Which among the following is used as a reflector in search lights?

  2. The incident ray, the ray perpendicular to the point of incidence, and the reflected ray all lie________.

  3. Which is the only event to prove that light is a transverse wave?

    A. Scattering of light

    B. Interference

    C. Diffraction

    D. Polarisation

  4. In which a convex mirror is used?

    A. Rear View mirrors in vehicles

    B. Glass windows

    C. Makeup Mirror

    D. Kaleidoscope

  5. Which mirror is preferred as a rear-view (wing) mirror in vehicles because of its wider field of view?

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