Question:
If the speed of light in a medium is \(2 \times 10^8 \, \text{m/s}\), what is the refractive index of the medium?
If the speed of light in a medium is \(2 \times 10^8 \, \text{m/s}\), what is the refractive index of the medium?
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The refractive index indicates how much light slows down in a medium.
Higher refractive index means the speed of light in that medium is lower.
Updated On: Apr 30, 2026
- \(1.2\)
- \(1.3\)
- \(1.5\)
- \(2\)
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The Correct Option is C
Solution and Explanation
Concept:
The refractive index of a medium is defined as the ratio of the speed of light in vacuum to the speed of light in the medium.
\[
n = \frac{c}{v}
\]
where
\(c\) = speed of light in vacuum \(= 3 \times 10^8 \, \text{m/s}\)
\(v\) = speed of light in the medium.
Step 1: Substitute the given values into the formula. \[ n = \frac{c}{v} \] \[ n = \frac{3 \times 10^8}{2 \times 10^8} \]
Step 2: Simplify the expression. \[ n = \frac{3}{2} \] \[ n = 1.5 \]
Step 1: Substitute the given values into the formula. \[ n = \frac{c}{v} \] \[ n = \frac{3 \times 10^8}{2 \times 10^8} \]
Step 2: Simplify the expression. \[ n = \frac{3}{2} \] \[ n = 1.5 \]
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