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

Question

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, 32 15 cm, 48 15 cm, 64 15 cm, 80 15 cm

MARKS App · Accepted Answer

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

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