Question

The refractive index of a material is 1.4. If velocity of light in vacuum is 3 × 10^8 ms^-1, find the velocity of light in the material.

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Answer 1

$\footnotesize\boxed{ \underline{ \underline {\footnotesize \tt{Solution:- }}}} \: \purple✿$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\footnotesize\purple ✿\footnotesize \tt{ \:\:n \: }\tt{= \frac{Velocity \: of \: light \: in \: vacuum}{Velocity \: of \: light \: in \: material}}$

$\footnotesize\purple ✿\footnotesize \tt{ \: \:1.4 \: }\tt{= \frac{3 \times {10}^{8}m {s}^{ - 1} }{Velocity \: of \: light \: in \: material}}$

$\footnotesize\purple ✿\footnotesize\tt{ \: \:Velocity \: of \: light \: in \: material \: }\tt{= \frac{3 \times {10}^{8}m {s}^{ - 1} }{1.4}}$

$\footnotesize\purple ✿\footnotesize\tt{ \: \:Velocity \: of \: light \: in \: material \: }\tt{= \frac{30\times {10}^{8}m {s}^{ - 1} }{14}}$

$\footnotesize\purple ✿\footnotesize\tt{ \:\:Velocity \: of \: light \: in \: material \: }\tt{= \frac{ \cancel{30}\times {10}^{8}m {s}^{ - 1} }{ \cancel{ 14}}}$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\footnotesize\boxed{ \underline{ \underline{\footnotesize\tt{ = 2.14\times {10}^{8}m {s}^{ - 1} }}}} \: \purple ✿$