Question

An object is placed perpendicular to the principal axis of a convex lens of focal
length 4 cm. The distance of the object from the lens is 6 cm. Find the position
and nature of the image.

Answer 1

Given - f=+24cm,u=−16cm ,

As ∣u∣(16cm)<∣f∣(24cm) ,it means object lies between F and C , in this position of object the rays from object cannot meet at any point on the other side of lens ,which is also clear from the position of image found below ,

From lens equation v=

u+f

uf

=

−16+24

−16×24

=−48cm ,

-ive sign shows that image will be formed on the same side of lens , where the object is placed .

Now linear magnification m=I/O=v/u=−48/−16=+3 ,

or I=3×4=12cm (given O=4cm) ,

since m=+ive and m>1 ,therefore image will be virtual ,erect and magnified

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