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An object is placed 40 cm from a concave mirror of focal length 20 cm. The image formed is-
1. real, inverted and same in size
2. real, inverted and smaller
3. virtual, erect and larger
4. virtual, erect and smaller

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Correct Answer - Option 1 : real, inverted and same in size

CONCEPT:

  • Concave mirror: The mirror in which the rays converge after falling on it is known as the concave mirror.
    • Concave mirrors are also known as converging mirrors.
    • The focal length of a concave mirror is negative according to the sign convention.

The mirror formula is given by:

\(\frac{1}{v}+\frac{1}{u}=\frac{1}{f}\)

where v = distance of image;  u = distance of object; f = focal length of mirror

The Magnification of mirror (m) is given by:

\(m=\frac{f}{f-u}\)

CALCULATION:

  • The object is at the center of the curvature of the concave mirror so the image will form at the same place
  • The image formed will be real and inverted.

\(m=\frac{-20}{-20-(-40)}\)

m = - 1

Image is formed of equal size, real and inverted.

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