A 50 cm tall object is placed per pendicular to the principal axis of a convex lens of focal length 20 cm The distance of the object from the lens is 30 cm By calculation determine i the position and ii the size of the image formed 2006

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## A 5.0 cm tall object is placed per pendicular to the principal axis of a convex lens of focal length 20 cm. The distance of the object from the lens is 30 cm. By calculation determine (i) the position, and (ii) the size of the image formed. - 2006

A 5.0 cm tall object is placed per pendicular to the principal axis of a convex lens of focal length 20 cm. The distance of the object from the lens is 30 cm. By calculation determine (i) the position, and (ii) the size of the image formed.

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Given object size = 5 cm
u = -30 cm
f = 20 cm, v = ?
Using the lens formula 1/f = 1/v-1/u
We have 1/v = 1/u + 1/f = 1/-30 + 1/20 = -2+3/60 = 1/60

===> 1/v = 1/60
Therefore v = 60cm
Magnification v/u = 60/-30 = -2

Magnification = Image size/Object size

hi/ho = -2
hi/5 = -2
hi = -2x5 = -10 cm
The image is real inverted and magnified.

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