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Using the Pythagorean theorem, the hypotenuse is calculated to be 5 cm. Given that \( \frac{1}{\mu} = \frac{\sin i}{\sin 90^\circ} \), we find \( \mu = \frac{1}{\sin i} = \frac{5}{3} \). The speed is determined as \( v = \frac{c}{\mu} = \frac{3 \times 10^8}{5/3} = 1.8 \times 10^8 \, \text{m/s} \). Which of the following is correct?

1. \( \mu = \frac{1}{\sin i} \)
2. \( \mu = \frac{5}{3} \)
3. \( v = \frac{c}{\mu} \)
4. \( v = 1.8 \times 10^8 \, \text{m/s} \)

Correct answer: \( v = 1.8 \times 10^8 \, \text{m/s} \)

Solution

The final calculated speed of light in the medium, 1.8 × 10⁸ m/s, is correct based on the given refractive index (μ = 5/3) and the formula v = c/μ.

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