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Question

An object is placed at (i) 10 cm, (ii) 5 cm in front of a concave mirror of radius of curvature 15 cm. Find the position, nature and magnification of the image in each case.

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Solution

(a) In concave mirror, using sign convention

u=10cm

R=15cm

f=152cm

Using mirror’s relation

1v+1u=1f

1v=1f1u

1v=215+110

1v=130

v=30cm

Image is real and it forms at a distance of 30 cm in front of mirror.

Magnification

m=vu

m=3010=3

This shows image is inverted and 3 times magnified.

(b) again using sign convention

u=5cm

f=152cm

1v=1f1u

1v=115

v=+15cm

Image is formed at a distance of 15 cm behind the mirror.

Magnification

m=vu

=155

=3

+3 magnification shows image is virtual and erect.

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