Question

An object is placed at a distance 20 cm from a convex lens of focal length 10 cm.Find the image distance and nature of the image.​

Answer 1

Image distance is 20 cm and it is real and inverted.

Explanation:

It is given that,

Object distance from the convex lens, u = -20 cm

Focal length of the convex lens, f = +10 cm

If v is the position of image with respect to the mirror. It can be calculated using lens formula as :

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

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

$\dfrac{1}{v}=\dfrac{1}{10}+\dfrac{1}{(-20)}$

v = 20 cm

So, the image will be formed at a distance of 20 cm behind the lens. If m is the magnification of the lens,

$m=\dfrac{v}{u}$

$m=\dfrac{20}{-20}$

m = -1 (image is real and inverted)

Learn more,

Lens formula

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