Question

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 vaccum is 3×10to the power 8
m/s
what is the solution​

Answer 1

Given: Light enters from air to glass having refractive index 1.50 and the speed of light in vacuum is 3 × 10⁸m/s.

Need to find: The speed of light in the glass.

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$\underline{\bf{\dag\;}\frak{As\;we\;know\;that:}}$

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• The index of refraction (μ) is the ratio between the speed of light in vacuum (c) and the speed of light in a substance (v).

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Therefore,

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$:\implies\sf{\mu=\large\dfrac{\;c\;}{\;v\;}}\\\\\\\\:\implies\sf{1.50=\dfrac{3\times{10}^{8}\;m/s}{v}}\\\\\\\\:\implies\sf{v=\dfrac{3\times{10}^{8}\;m/s}{1.50}}\\\\\\\\:\implies\underline{\boxed{\purple{\frak{v=2\times{10}^{8}\;m/s}}}}{\;\bigstar}$

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$\therefore\;{\underline{\sf{Hence,\;the\;speed\;of\;light\;in\;glass\;is\;\;\frak{2\times{10}^{8}\;m/s}}.}}$