Question

An object is placed 25cm in front of a concave lens of focal length is 25cm. Find the location and nature of the image.

Answer 1

The image is formed at infinity.

$\red{\tt{\underline{NATURE:-}}}$

• Enlarged

• Real

• Inverted

Answer 2

The image is location in front of the concave lens at a distance of 12.5 cm. The formed image is virtual and erect.

Explanation:

It is given that,

Object distance from the lens, u = -25 cm

Focal length of the concave lens, f = -25 cm

Let v is the image distance. It can be calculated using lens formula as :

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

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

$\dfrac{1}{v}=\dfrac{1}{(-25)}+\dfrac{1}{(-25)}$

v = -12.5 cm

So, the image is location in front of the concave lens at a distance of 12.5 cm.

Magnification,

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

$m=\dfrac{-12.5}{-25}$

m = 0.5

So, the formed image is virtual and erect.

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