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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 and height of the image.

A
v=8.57 cm, hi=2.14 cm
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B
v=40 cm, hi=5 cm
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C
v=57 cm, hi=14 cm
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D
v=4 cm, hi=2.14 cm
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Solution

The correct option is A v=8.57 cm, hi=2.14 cm
Given,
Object distance u=20 cm
Object height ho=5 cm
Radius of curvature R=30 cm
We know f=R/2=15 cm

Mirror formula
1v+1u=1f
1v+120=115

1v=115+120

v=8.57 cm

Image is virtual and erect and formed behind the mirror.
m=v/u
m=hi/ho
hi/5=8.57/20
hi=0.428×5=2.14 cm

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