The speed of light in medium M₁ and M₂ is 1.5 × 10⁸ m/s and 2.0 × 10⁸ m/s, respectively. A ray of light enters from medium M₁ to M₂ at an incidence angle i. If the ray suffers total internal reflection, the value of i is:
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Question

The speed of light in medium M₁ and M₂ is 1.5 × 10⁸ m/s and 2.0 × 10⁸ m/s, respectively. A ray of light enters from medium M₁ to M₂ at an incidence angle i. If the ray suffers total internal reflection, the value of i is:

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G1 Physics · Accepted Answer

Step 1: The critical angle satisfies sin C = v₁/v₂ = 1.5/2.0 = 3/4. Step 2: Total internal reflection occurs strictly for i > C; at i = C the refracted ray is grazing. Step 3: The closest listed option is i ≥ sin⁻¹(3/4). Final answer: Source key (C), with strict inequality i > C in physics.