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A convex lens of focal length 20 cm is p...

A convex lens of focal length `20 cm` is placed co-axially with a convex mirror of radius of curvature `20 cm`. The two are kept `15 cm` apart from each other. A point object is placed `60 cm` in front of the convex lens. Find the position of the image formed by the combination.

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To solve the problem step by step, we will analyze the situation involving the convex lens and the convex mirror. ### Step 1: Identify the parameters - Focal length of the convex lens, \( f_L = +20 \, \text{cm} \) - Radius of curvature of the convex mirror, \( R = +20 \, \text{cm} \) - Focal length of the convex mirror, \( f_M = \frac{R}{2} = +10 \, \text{cm} \) - Distance between the lens and the mirror, \( d = 15 \, \text{cm} \) - Object distance from the lens, \( u_L = -60 \, \text{cm} \) (negative as per the sign convention) ...
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