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When an object is kept at a distance 20 cm in front of a concave mirror, a real image is formed at the centre of curvature of the mirror. Magnificatio
Question

When an object is kept at a distance 20 cm in front of a concave mirror, a real image is formed at the centre of curvature of the mirror. Magnification produced by the mirror is ___________.

A.

-20

B.

-1

C.

-10

D.

-0.5

Correct option is B

The correct answer is (B) -1.

Explanation:

The magnification (M) of a mirror is given by:

M=vuM=\frac{-v}{u}​​

Where:

  • v = Image distance,
  • u = Object distance.

Given:

  • Object distance, u=−20 cm (negative because the object is in front of the mirror),
  • Image distance, v=−20 cm (negative because a real image is formed at the center of curvature).

Now calculate magnification:

M=vu=(20)20=1M=\frac{-v}{u} = \frac{-(-20)}{-20} = -1​​

Interpretation:

  • Magnification M=−1 indicates the image is real, inverted, and of the same size as the object.

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