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If velocity of light in a medium is 2×10⁸m/s, what is the refractive index of the medium?
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If velocity of light in a medium is 2×10⁸m/s, what is the refractive i...
- Calculating refractive index of a medium
To calculate the refractive index of a medium, we use the formula:
\[ \text{Refractive index (n)} = \frac{\text{Speed of light in vacuum}}{\text{Speed of light in the medium}} \]
- Given data
Given that the speed of light in the medium is \(2 \times 10^8 \, \text{m/s}\) and the speed of light in vacuum (or air) is \(3 \times 10^8 \, \text{m/s}\).
- Calculating the refractive index
Substitute the given values into the formula:
\[ \text{Refractive index (n)} = \frac{3 \times 10^8}{2 \times 10^8} \]
\[ = \frac{3}{2} = 1.5 \]
- Interpretation
The refractive index of the medium is 1.5. This means that light travels 1.5 times slower in the medium compared to vacuum. The refractive index is a measure of how much the speed of light is reduced when it enters a medium. A higher refractive index indicates a greater reduction in speed and a stronger interaction of light with the medium.
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If velocity of light in a medium is 2×10⁸m/s, what is the refractive index of the medium?
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