How to find v from i and r?
GeneralClass 12AllAnswered 27 Mar 2026
Answer
To find the speed of light (v) in a medium using angles of incidence (i) and refraction (r):
- First, calculate the refractive index: n = sin i/sin r
- Then use the formula: v = c/n
For example, if light enters water at 45° (i) and refracts to 32° (r):
- n = sin 45°/sin 32° = 0.707/0.530 ≈ 1.33
- v = (3 × 10⁸ m/s)/1.33 ≈ 2.25 × 10⁸ m/s
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