JEE Advanced · 2010 · 11 Apr 2010 · Paper 2 · Geometrical Optics

Two transparent media of refractive indices

μ_{1}

and

μ_{3}

have a solid lens shaped transparent material of refractive index

μ_{2}

between them as shown in figures in Column II. A ray traversing these media is also shown in the figures. In Column I different relationships between

μ_{1}, μ_{2}

and

μ_{3}

are given. Match them to the ray diagrams shown in Column II.

Answer: A → I, A → III, B → II, B → IV, B → V, C → I, C → III, C → V, D → II, D → IV

Solution

Analyze each ray diagram based on refraction at interfaces:

**(A)

μ_{1} < μ_{2}

**: Ray bends toward normal when entering medium 2 → matches diagrams (p) and (r).

**(B)

μ_{1} > μ_{2}

**: Ray bends away from normal when entering medium 2 → matches diagrams (q), (s), and (t).

**(C)

μ_{2} = μ_{3}

**: No refraction at the second interface, ray continues straight → matches diagrams (p), (r), and (t).

**(D)

μ_{2} > μ_{3}

**: Ray bends away from normal when exiting to medium 3 → matches diagrams (q) and (s).

The correct matches are:

JEE Advanced · 2010 · 11 Apr 2010 · Paper 2 · Match the columns