An object is placed at a distance of 10 cm from a convex mirror of focal length 15 cm. Find the position and nature of the image.

Q. 12 :- An object is placed at a distance of 10 cm from a convex mirror of focal length 15 cm. Find the position and nature of the image. 

 

Answer:-

Focal length f = 15 cm
object-distance u = –10 cm
Image-distance v = ?

1 1 1

+
=
v u f
1 1 1

+
=
v − 10 15
1 1 1

=
+
v 15 10
1 2+3 5

=
=
v 30 30
v = 6 cm

A virtual and erect image is formed 6 cm behind the mirror.