Two transparent media A and B are separated by a plane boundary. The speed of light in these media is 1.5 × 10⁸ m/s and 2.0 × 10⁸ m/s respectively. The critical angle for a ray going from A to B will be:
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Question

Two transparent media A and B are separated by a plane boundary. The speed of light in these media is 1.5 × 10⁸ m/s and 2.0 × 10⁸ m/s respectively. The critical angle for a ray going from A to B will be:

Options

G1 Physics · Accepted Answer

Step 1: Medium A is optically denser because its speed is smaller. Step 2: At critical incidence from A to B, sin C = μ_B/μ_A = v_A/v_B. Step 3: sin C = (1.5 × 10⁸)/(2.0 × 10⁸) = 0.75. Final answer: (B) sin⁻¹(0.750).