Question

A convex lens forms an inverted image of size same as that of the object which is placed at a distance 60 cm in front of the lens. Find position of image and focal length of the lens

Answer 1

Since image of same size is formed
2F=60cm
So, F=30cm
So, the position of the image will be 60 cm in the other side of the lens and inverted.
Focal length of the lens is 30cm

Answer 2

The image will form at a distance of 60 from pole behind the lens and the focal length of the lens is 30 cm.

Explanation:

Given that,

Object distance from the lens, u = -60 cm

It is mentioned that, convex lens forms an inverted image of size same as that of the object, such that, the magnification is given by :

$\dfrac{h'}{h}=\dfrac{v}{u}$

h' is the size of image, h' = -h

i.e. v = -u

It means that the image will form at a distance of 60 from pole behind the lens.

For finding focal length use lens formula as :

$\dfrac{1}{v}-\dfrac{1}{u}=\dfrac{1}{f}$

$f=\dfrac{1}{\dfrac{1}{60}-\dfrac{1}{-60}}$

f = 30 cm

So, the focal length of the convex lens is 30 cm.

Learn more,

Lens formula

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