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A horizontal parallel beam of light pass...

A horizontal parallel beam of light passes though a vertical convex lens of focal length 40 cm. Behind the lens there is a plane mirror making an angle `theta` with the principal axis of the lens. The mirror intersects the principal axis at M. Distance between the optical centre of the lens and point M is `OM = 20 cm`. The light beam reflected by the mirror converges at a point P. Distance OP is 20 cm. Find `theta`.

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