Question

What is the speed of the light in glass when the refractive index of the glass is 3/2

Answer 1

Solution :

⏭ Given:

✏ Refractive index of glass = 3/2

⏭ To Find:

✏ Velocity of light in glass

⏭ Concept:

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

⏭ Formula:

✏ Formula of absolute refractive index is given by

$\bigstar \: \underline{ \boxed{ \bold{ \sf{ \pink{ \eta = \frac{velocity \: of \: light \: in \: vacuum}{velocity \: of \: light \: in \: medium}}}}}} \: \bigstar$

⏭ Calculation:

$\mapsto \sf \: \frac{3}{2} = \frac{3 \times {10}^{8} }{v_{glass}} \\ \\ \mapsto \sf \: v_{glass} = \frac{3 \times 2 \times {10}^{8} }{3} \\ \\ \mapsto \: \underline{ \boxed{ \sf{ \red{velocity \: of \: light \: in \: glass = 2 \times {10}^{8} \: mps}}}}$

⏭ Additional information:

• Refractive index is unitless quantity.
• Refractive index is dimensionless quantity.