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The focal length of a spherical mirror is equal to _______ its radius of curvature.
1. 1/2
2. 1/3
3. 1/8
4. 1/4

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Correct Answer - Option 1 : 1/2

Concept:

Mirror:

  • The optical instrument which reflects the light and forms the image of the object is called a mirror.
    • The mirror has a spherically curved reflecting surface called a spherical mirror.

There are two types of spherical mirror:

  • Concave mirror: The spherical mirror having an inward reflecting surface is called a concave mirror.
    • The images form by the concave mirror can be real as well as virtual.
  • Convex mirror: The mirror whose reflecting surface is outward is called a convex mirror.
    • The images formed by the convex mirror are always virtual.

Explanation

  • We know that if the radius of curvature of the spherical mirror is R, then the focal length (f) of the spherical mirror is given as,

\(\Rightarrow f = \frac{R}{2}\)     ----(1)

  • By equation 1 it is clear that the focal length of the spherical mirror depends on the radius of curvature.

​So, the focal length of a spherical mirror is equal to ½ its radius of curvature.

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