An isosceles right angled triangular glass `(mu = 1.6)` prism has a cavity inside it in the shape of a thin convex lens whose both surfaces have radius of curvature equal to 20 cm. The cavity has been filled with a transparent liquid of refractive index 2.4. S is a point source and `sigma` is an opaque sheet having a small hole such that the source and the hole both lie on the principal axis of the lens. The small hole in the opaque sheet is just to ensure that only paraxial rays are incident on the optical system. However, the size of hole is large enough to neglect diffraction effects. Will the observers at P and Q be able to see the image of source S? Where is the image located?

Answer

Observer at Q sees the image at a distance 6.88 cm from face BC, inside the prism