Question

calculate speed of light in diamond if speed of light in air is 3×10^8 and refractive index of diamond with respect to air is 2.4.​

Answer 1

$\Huge\bold{\underline{\underline{\red{αnswer-}}}}$

Speed of the light in air = 3 × 10^8 m/s

Given Refractive index of diamond = 2.4

Refractive index = speed of the light in air /

speed of the light in medium.

2.4 = 3 × 10^8 m/s / Speed of light in medium

Speed of light in medium = 3×10^8 / 2.4 m/s.

= 1.25 × 10^8 m/s.

Answer 2

AnsWer :

1.25 * 10^8 m/ s.

GiveN :

• Speed of Light 3 * 10^8 m/s.
• Refractive index of diamond with respect to air is 2.4.

To Find :

• Calculate the speed of light in Diamond.

SolutioN :

We have, Formula.

$\tt \dagger \: \: \: \: \: \fbox{ Refractive \: index = \dfrac{Speed \: of \: the \: light \: in \: air / Vacuum.} {Speed \: of \: the \: light \: in \: Medium.}}$

Now, Putting given value.

$\tt : \implies 2.4 = \dfrac{3 \times {10}^{8} } {Speed \: of \: t he \: light \: in \: medium.}$

$\tt : \implies Speed \: of \: the \: light \: in \: Diamond = \dfrac{3 \times {10}^{8} } {2.4}$

$\tt : \implies 1.25 \times {10}^{8} m / s.$

Therefore, Speed of light in Diamond is 1. 25 * 10^8.