Question

if the speed of light in a medium is 2×10⁸ m/s , what is the absolute refractive index of the medium ( velocity of light in vaccum=3×10⁸ m/s)​

Answer 1

Answer:

refractive index =speed of light in air

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speed of light in any medium

=3×10⁸

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2×10⁸

=1.5 (no unit)

Explanation:

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Answer 2

Given:-⠀⠀⠀⠀

• $\sf Speed \: of \: light \: in\: a \: medium = 2 \times 10^8 m/s$

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• $\sf Speed \: of \: light \: in\: a \: vacuum = 3 \times 10^8 m/s$

To find :-

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• $\sf Refractive \: index = \mu = ??$

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Solution :-

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$\bigstar\:{\underline{\sf We \:know \:that \::}}$

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• The refractive index of a medium is defined as the ratio of the speed of light in vacuum to the speed of light in that medium .

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$\star\:{\boxed{\sf{\pink{\mu = \dfrac{speed_{(vacuum)}} { speed_{(Medium) }}}}}}$

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$:\implies\sf \mu = \dfrac{3\times 10^8}{ 2 \times 10^8}$

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$:\implies\sf \mu = \dfrac{3}{2}$

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$: \implies \sf \mu = 1.5$

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$: \implies{\underline{\boxed{\frak{\purple{Refractive \: index = \: 1.5}}}}}\;\bigstar$

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$\therefore\:{\underline{\sf{Refractive \; index \; of \;the \: medium \; is \; \bf{ 1.5}.}}}$

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