Question

The speed of light in a medium of absolute refractive index 1.5 is2 × 10^8m/s^-1.What is the speed of light in vacuum?

Answer 1

obviously speed of light in vacuum is not going to change

mu = c/v

mu=1.5

c=3 ×10^8

Answer 2

The speed of light in vacuum is $3 \times 10^8\ m/s$

Solution:

The refractive index is given by formula:

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

Where,

n = refractive index

c = Speed of light in vacuum

v = Speed of light in medium

From given,

$n = 1.5 \\\\v = 2 \times 10^8$

Substituting we get,

$1.5 = \frac{c}{2 \times 10^8} \\\\c = 1.5 \times 2 \times 10^8\\\\c=3 \times 10^8$

Thus speed of light in vacuum is $3 \times 10^8\ m/s$

Learn more:

If the speed of light in vacuum is 3x10 ^8 find the speed of light in a medium of absolute refractive index 1.5

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