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Question

An object 5cm is placed at a distance of 20cm in front of a convex mirror of radius of curvature 30cm. Find the position of the image, its nature and size.

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Solution

Formula:

1v+1u=1f

Given,
1v+1(20)=115
1v=760v=607
v=8.578.6cm

The image is formed behind the mirror at a distance of 8.6 cm
m=h2h1=vu
h25=8.5720

h2=2.175 cm

Thus the image is 2.175 cm high, virtual and erect.

Hence, this is the answer.

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