Question

A ray incident at a point at an angle of incidence 60ŗ enters a glass sphere (µ = $\sqrt { 3 }$) and is reflected and refracted at the further surface of the sphere. The angle between the reflected and refracted ray at this surface is

• A. 50⁰
• B. 60⁰
• C. 90⁰
• D. None of these

Answer 1

At P

$\frac { \sin 60 ^ { \circ } } { \sin r _ { 1 } }$ = $\frac { 1 } { \sqrt { 3 } }$

r₁ = 30⁰

r₁ = r₂ = 30⁰

At Q

= $\frac { 1 } { \sqrt { 3 } }$

\ i₂ = 60⁰

\ At point Q

a = 180 – (r₂ + i₂) = 90⁰