Ray Optics and ...

A ray of light going from denser to rarer medium suffers refraction at a concave surface. Which of the following relations is correct?

For a plane surface, the formula  becomes

Consider a curved surface between two different media with refractive indices n₁ = 1 and n₂ = 2. The relation between radius of curvature, image distance and object distance is given by

In the adjoining figure, SS is a spherical surface separating two media of refractive indices n₁ and n₂ where n₁ > n₂. C is the centre of curvature of the spherical surface. An observer, keeping his eye beyond C in the medium of refractive index n₂ views the refracted image of an object AB placed as shown in the medium of refractive index n₁. The image will be:

A thick plano convex lens made of crown glass (refractive index 1.5) has a thickness of 3cm at its centre. The radius of curvature of its curved face is 5cm. An ink mark made at the centre of its plane face, when viewed normally through the curved face, appears to be at a distance ‘x’ from the curved face. Then, x is equal to:

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