Three glass cylinders of equal height H = 30 cm and same refractive index n = 1.5 are placed on a horizontal surfaces shown in figure. Cylinder I has a flat top, cylinder II has a convex top and cylinder III has a concave top. The radii of curvature of the two curved tops are same (R = 3 m). If H₁, H₂ and H₃ are the apparent depths of a point X on the bottom of the three cylinders, respectively, the correct statement(s) is/are:

Question

G1 Physics · Accepted Answer

Derived solution: Step 1: Use Snell’s law at each plane interface. For paraxial viewing through a plane surface, apparent depth = real depth × n(observer)/n(object medium). Step 2: Test each statement independently using these relations and the data/figure. Step 3: The statements that satisfy the required optical conditions are C: H₂ > H₃; D: H₂ > H₁. Hence the correct answer is C,D.