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The plane surface of a plano-convex lens...

The plane surface of a plano-convex lens of refracting index 1.5, is silvered. The radius of curvature of curved surface is R. Find the focal length of the mirror thus formed.

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To find the focal length of the mirror formed by silvering the plane surface of a plano-convex lens, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the System**: We have a plano-convex lens with a refractive index (μ) of 1.5 and a radius of curvature (R) for the curved surface. The plane surface is silvered, effectively turning the lens into a mirror system. 2. **Understand the Focal Length of the Lens**: For a plano-convex lens, the formula for the focal length (f) is given by: \[ ...
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