Calculate the focal length of a convex lens, which produces a virtual image at a distance of 50cm of an
object, placed 20cm in front of it.
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Answer:
Given,
Image distance , v = - 50 cm
( Since , the image is virtual in case of a convex lens )
Object Distance , u = -20cm
Focal length , f = ?
By applying the formula for lenses we have,
1/f = 1/v - 1/u
= 1 / (-50) - 1/ (-20)
= 1 / (-50 ) + 1/ 20
= -2 + 5 / 100 ( By L.C.M )
= 3 / 100
Therefore, f = 100/3 cm or 33.34 cm (approx.)
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