Q. The index of refraction of diamond is 2.0. The velocity of light in diamond is approximately
A) $1.5 \times 10^{10}{cms}^{- 1}$
B) $2 \times 10^{10}{cms}^{- 1}$
C) $3.0 \times 10^{10}{cms}^{- 1}$
D) $6 \times 10^{10}{cms}^{- 1}$
Explanation
(a) Refractive index of diamond is
$\mu = \frac{velocity\ of\ light\ in\ air}{velocity\ of\ light\ in\ diamond}$
$2 = \ \frac{3.0 \times 10^{10}}{velocity\ of\ light\ in\ diamond}$
So, velocity of light in diamond is
$= \frac{3.0 \times 10^{10}}{2} = 1.5 \times 10^{10}{cms}^{- 1}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.