Question

Refractive index of glass is 1.5. If the speed of light in vaccum is 3 *10 ^8 m/s. Find velocity of light in medium

Answer 1

Solution :

⏭ Given:

✏ Refractive index of glass = 1.5

✏ Speed of light in vacuum = 3×$10^8$ mps

⏭ To Find:

✏ Velocity of light in glass

⏭ Concept:

✏ Refractive index of medium is defined as ratio of velocity of light in vacuum to the velocity of light in medium.

⏭ Calculation:

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$\dashrightarrow \rm{ \pink{ \mu = \dfrac{velocity \: of \: light \: in \: vacuum}{velocity \: of \: light \: in \: medium} }} \\ \\ \dashrightarrow \sf \: 1.5 = \dfrac{3 \times {10}^{8} }{v_{glass}} \\ \\ \dashrightarrow \sf \: v_{glass} = \frac{3 \times {10}^{8} }{1.5} \\ \\ \dashrightarrow \: \boxed{ \tt{ \large{ \orange{v_{glass} = 2 \times {10}^{8} \: mps}}}}$

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⏭ Additional information:

• Refractive index is unitless as well as dimensionless quantity.

Answer 2

$\huge{\tt{\pink{Hello!!! }}}$

$\tt{\red{Solution \: - }}$

$\begin{lgathered}\dashrightarrow \rm{ \orange{ \mu = \dfrac{velocity \: of \: light \: in \: vacuum}{velocity \: of \: light \: in \: medium} }} \\ \\ \dashrightarrow \sf \: 1.5 = \dfrac{3 \times {10}^{8} }{v_{glass}} \\ \\ \dashrightarrow \sf \: v_{glass} = \frac{3 \times {10}^{8} }{1.5} \\ \\ \dashrightarrow \: \boxed{ \tt{ \large{ \purple{v_{glass} = 2 \times {10}^{8} \: mps}}}}\end{lgathered}$