A concave lens of power -2.0D is used to form an image of an object of size 9 CM kept at a distance of 25 cm from it find the nature ,size and position of the image formed.
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Explanation:
given, power of concave lens , P = -2D
we know, power of lens , P = 1/f
so, -2D = 1/f => f = -50cm
size of object, = 9cm
object distance from the lens , u = -25cm
using lens maker formula,
1/f = 1/v - 1/u
or, 1/-50 = 1/v - 1/-25
or, 1/-50 = 1/v + 1/25
or, 1/v = 1/-50 - 1/25 = 1/-50 - 2/50
or, v = -50/3 cm
hence, image formed 50/3 cm from the pole of lens on same side of object.
magnification, m = v/u
height of image/height of object = (-50/3)/(-50) =1/3
or, height of image/9cm = 1/3
or, height of image = 3cm
hence, image is virtual, erect and diminished.
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