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A concave mirror of radius 20 cm has an object of length 2 cm placed perpendicular to principal axis at a distance of (i) 40 cm (ii) 8 cm. In each case what is position, nature and length of image formed by the mirror?

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R = Radius of curvature of mirror = – 20 cm

Case–I:

Given u = - 40 cm, v = ?

Using mirror formula

Negative sign of v indicates image formed is real at a distance of 13.33 cm from the mirror.

Negative sign of m indicates inverted image |m|<1 the image formed is diminished. Also

The positive sign of v indicates virtual image. The image is 40 cm behind the mirror. Also

The positive sign of m indicates erect image. Also |m|>1 the image formed is enlarged. Also

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