An object is placed `15 cm` in front of a convex lens of focal length `10 cm`. Find the nature and position of image formed. Where should a concave mirror of radius of curvature `20 cm` be position of the object itself ?
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Here, `u = - 15 cm, f = 10 cm, v = ?` From `(1)/(v) - (1)/(u) = (1)/(f)` `(1)/(v) = (1)/(f) + (1)/(u) = (1)/(10) - (1)/(15) = (1)/(30)` `v = 30 cm, m = (v)/(u) = (30)/(-15) = -2` Image is real, inverted and magnified formed at a distance of `30 cm` from lens. Now, the final image formed by concave mirror will be at the position of the object itself only if image formed by the lens lies at the centre of curvature of the mirror. `:.` Distance of mirror from the lens `= 30 + R = (30 + 20) cm = 50 cm`
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