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Light enters from air to glass, having refractive index 1.50. What is the speed of light in the glass? The speed of light in vacuum is 3 x 108 ms-1.

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Answer

Refractive index of a medium (nm) = Speed of light in vacuumSpeed of light in the medium\dfrac{\text{Speed of light in vacuum}}{\text{Speed of light in the medium}}

Speed of light in vacuum (c) = 3 x 108 ms-1

Refractive index of glass (ng) = 1.50

Substituting the values we get,

1.5=3×108Speed of light in glass[0.5em]Speed of light in glass=3×1081.5[0.5em]Speed of light in glass=2×1081.5 = \dfrac{3 \times 10^8}{\text{Speed of light in glass}} \\ [0.5em] \Rightarrow \text{Speed of light in glass} = \dfrac{3 \times 10^8}{1.5} \\ [0.5em] \Rightarrow \text{Speed of light in glass} = 2 \times 10^8

Hence, Speed of light in glass = 2 x 108 ms-1

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