Question

If velocity of light in a certain medium is $1.5\times {10}^{8}m/s$ $\mu$, then refractive index for the medium would be

• A. 2
• B. 4
• C. 2.5
• D. 3

Answer 1

The correct option is A 2

Given,

The velocity of light in the given medium is $v=1.5\times {10}^{8}m/s$

The refractive index of any medium is given by the ratio of velocity of light in vacuum to the velocity of light in the given medium. Hence

$\eta =\frac{v}{c}$

Where $c=3\times {10}^{8}m/s$

$\eta =\frac{3\times {10}^{8}m/s}{1.5\times {10}^{8}m/s}$

$\therefore \eta =2$

Hence the refractive index of the medium is $\eta =2$.