A glass hemisphere μ = 1.5 has a radius of curvature of 16 cm . A small object O is located on its axis halfway between the plane and spherical surface. The distance between two images, when viewed along the axis from the sides of the hemisphere, is

Step-by-step solution

When viewed from spherical side, 1 v 1 + 3 2 × 8 = 1 2 × 16 ⇒   1 v 1 = 1 32 - 3 16 = - 5 32 Image position is 32 5   cm inside the hemisphere from its periphery. And when viewed from plane side then image is at 16 3   cm inside the plane surface. ∴   Δx = 16 - 16 3 - 32 5 = 64 15   cm