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Question

An object 5.0 cm in length is placed at a distance of 20 cm in front of a convex mirror of radius of curvature 30 cm. Find the position of the image, its nature and size.

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Solution

Object distance, u = −20 cm

Object height, h = 5 cm

Radius of curvature, R = 30 cm

f=R/2 (as we know )

f = 15 cm

According to the mirror formula,

The positive value of v indicates that the image is formed behind the mirror.

The positive value of image height indicates that the image formed is erect.

Therefore, the image formed is virtual, erect, and smaller in size.


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