Question

The refractive index of diamond is 2.43 and that of glass is 1.62. if the speed of light in glass is v then the speed of light in diamond will be?
A) 2v/3
B) 3v/2
C) 3v/4
D) 5v/4
TELL FAST

Answer 1

Step-by-step explanation:

Given: $C= 3$ × $10^{8}$ and $N=2.43$

To find: V.

For calculation of 'v'.

We know that $N=\frac{C}{V}$

⇒ $2.43=\frac{3x10^{8} }{V}$

⇒ $V=\frac{3x10^{8} }{2.43}$

⇒$V = 1.23$ × $10^{8} m/s$

The speed of light in V will be $1.23$ × $10^{8} m/s$.

Answer 2

Given:

Refractive index of diamond = 2.43

Refractive index of glass = 1.62

To find:

Speed of light in diamond when the speed of light in glass is v.

Solution:

We know that the refractive index of a substance is the ratio o speed of light in a vacuum to the speed of light in that substance.

Given that speed of light in glass is v

1.62  = $\frac{c}{v}$ (where c is the speed of light in vacuum)

c = 1.62 v

Now we will put this values of c in the refractive index of diamond to get the speed of light in diamond in terms of v.

let v' be the speed of light in diamond

2.43= $\frac{c}{v'}$

v' = $\frac{1.62v}{2.43}$

v' = 2v/3

The speed of light in diamond will be 2v/3 (Option A).