Question 14

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.

Answer

Given,

Convex mirror

Radius of curvature, R = 30 cm

Radius of curvature = 2 × Focal length

R = 2f

f = 15 cm

Object distance, u = −20 cm

Object height, h = 5 cm

the mirror formula,

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

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

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

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