The speed of light in media M₁ and M₂ are 1.5 10⁸ ~ms ⁻¹ and 2 10⁸ ~ms ⁻¹ respectively. A ray travels from medium M₁ to the medium M₂ with an angle of incidence . The ray suffers total internal reflection. Then the value of the angle of incidence is

Step-by-step solution

For total internal reflection, the angle of incidence of light in denser medium must be greater than the critical angle for the pair of media in contact, i.e., We have, 1 C = v₂ v₁ Given, aligned &v₁=M₁=1.5 10⁸ ~ms ⁻¹ &v₂=M₂=2 10⁸ ~ms ⁻¹ aligned Here, array ll & i> ⁻¹ ( M₁ M₂ ) & i> ⁻¹ ( 1.5 10⁸ 2 10⁸ ) & i> ⁻¹ ( 3 4 ) array