An object 3 cm high is placed at a distance of 10 cm in front of a converging mirror of focal length 20 cm. Find the position, nature and size of the image formed.

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Solution

Given,
height of the object hi= 3cm
object distance u= -10cm
focal length f= -20cm
NOW,
Step 1: Finding distance of the image:
According to Mirror formula,
1/f=1/u + 1/v
1/v=1/f − 1/u
1/v=1/(−20) − 1/(−10)
1/v=(−1+2)/20=1/20
v = 20cm
Step 2: Hight of image:

Magnification is ratio of height of image with respect to height of an object.
m=−v/u=hi/h0
−20/(−10) = hi/3cm
⟹hi=6cm

Nature:- Virtual (as image distance is on the right side of mirror)

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