Short Note

An object is placed at a distance 24 cm in front of a convex lens of focal length 8 cm.

(i) What is the nature of the image so formed ?

(ii) Calculate the distance of the image from the lens.

(iii) Calculate the magnification of the image.

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#### Solution

(i) As for convex lens, if |u| > | f | then real and inverted image is formed and as |u| > 2| f | then it is diminished .

(ii)`1/v - 1/u = 1 /f`

`1/v = 1/u + 1 /f`

`1/v =(f+u)/(uf)`

`⇒ v =(uf)/(f+u)= ((-24)(8))/((8)+(-24)) = (-24xx8)/(-162) = 12` cm

(iii) m = `v/u = 12/-24 = -0.5`

-ve sign signifies inverted image.

Concept: Concave Lens

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