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When light travels from air to an optically denser medium, its speed is decreased by 25%. What is the refractive index of the medium? A 0.75 B 1.00 C 1.16 D 1.33

Question

When light travels from air to an optically denser medium, its speed is decreased by 25%. What is the refractive index of the medium? A 0.75 B 1.00 C 1.16 D 1.33

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Solution

The refractive index of a medium is calculated by the ratio of the speed of light in vacuum (or air, for practical purposes) to the speed of light in the medium.

Given that the speed of light in the medium is decreased by 25%, it means that the speed of light in the medium is 75% of the speed of light in air.

So, the refractive index (n) would be 1 / 0.75 = 1.33

Therefore, the correct answer is D. 1.33.

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