# You are given a convex lens of focal length 30 cm. At what distance from the lens should you hold a candle flame to observe. (a) a real and magnified

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You are given a convex lens of focal length 30 cm. At what distance from the lens should you hold a candle flame to observe.
(a) a real and magnified image of the flame ? (b) a virtual and magnified image of the flame?
( c) a real, inverted and smaller image of the flame?

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Here, f=30 cm.
(a) To obtain, a real and magnified image,object must lie between f and 2f i.e., distance of flame from the lens should lie between 30 and 60 cm.
( b) To obtain a virtual image, object must lie between principal focus and optical centre of the lens i.e., distance of flame from the lens should lie between 0 and 30 cm.
(c ) To obtain, a real , inverted and smaller image of the flame, object must lie beyond 2 f of the lens, i.e., the flame should be held at a distance be held at a more than 60 cm from the lens.