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A convex lens of focal length 20 cm and ...

A convex lens of focal length `20 cm` and a convex mirror of focal length `10 cm` are placed co-axially `50 cm` apart from each other. An incident beam parallel to its principal axis is incideent on the convex lens. Locate the position of final image formed due to the combination.

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The parallel beam of light falling on convex lens will form an image at focus of convex lens, i.e., at 20 cm. This image at O will act as an object for concave mirror.
Thus for concave mirror `u=-30cm`
`f=-10cm`
`(1)/(v)=(1)/(f)-(1)/(u)`
`=-(1)/(10)-((-1)/(30))`
`v=-15cm.`
The real image will be formed at a distance of 15 cm from concave mirror.
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