Question:
The refractive index of a material is 1.5. The angle of incidence for which the angle of refraction is 30° is:
The refractive index of a material is 1.5. The angle of incidence for which the angle of refraction is 30° is:
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Snell's law relates the angles of incidence and refraction with the refractive index of the medium. Use it to calculate the missing angle when refractive index is known.
Updated On: Apr 28, 2026
- 45°
- 60°
- 30°
- 15°
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The Correct Option is B
Solution and Explanation
Step 1: Apply Snell’s law
Snell’s law states:
\( n_1 \sin i = n_2 \sin r \)
Assuming light is going from air to a medium, \( n_1 = 1 \), \( n_2 = 1.5 \), and \( r = 30^\circ \)
Step 2: Substitute values
\[ \sin i = 1.5 \sin 30^\circ \] \[ \sin i = 1.5 \times \frac{1}{2} = 0.75 \]
Step 3: Calculate angle
\[ i = \sin^{-1}(0.75) \] \[ i \approx 48.6^\circ \]
Final Answer:
\( i \approx 48.6^\circ \)
Snell’s law states:
\( n_1 \sin i = n_2 \sin r \)
Assuming light is going from air to a medium, \( n_1 = 1 \), \( n_2 = 1.5 \), and \( r = 30^\circ \)
Step 2: Substitute values
\[ \sin i = 1.5 \sin 30^\circ \] \[ \sin i = 1.5 \times \frac{1}{2} = 0.75 \]
Step 3: Calculate angle
\[ i = \sin^{-1}(0.75) \] \[ i \approx 48.6^\circ \]
Final Answer:
\( i \approx 48.6^\circ \)
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