A 5 cm tall object is placed at a distance of 30 cm from a convex mirror
A 5 cm tall object is placed at a distance of 30 cm from a convex mirror of focal length 15 cm. Find the position, size and nature of the image formed.
Answer
h1 = +5 cm ; u = −30 cm ; f = +15 cm; v = ?
1/f = 1/v + 1/u
1/v = 1/f - 1/u
= 1/(+15) - 1/(-30)
= 1/15 + 1/30
= 1/10
∴ v = +10 cm
h2/h1 = - v/u
h2 = - (+10)/(-30) × (+5)
h2 = +5/3 = +1.66 cm
Nature - virtual, erect