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.

Answer 1

Object distance, u = 20 cm

Height of object h = 5 cm

Radius of curvature R = 30 cm

R = 2f, f = 15 cm

As per mirror formula

Positive sign indicates image is formed behind the mirror

Magnification = \(\frac{Image\,distance}{Object\,distance}\) = \(\frac{h^1}{h}\)

h¹ = m × h = 0.428 × 5 = 2.14 cm