When an object is placed 10 cm away from a concave mirror is real image is formed at a distance of 40 cm in front of the mirror what is the focal length?

Option 1 : real, inverted and same in size

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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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