Question

Speed of light in glass is 2×108m/s and it's refractive index is 1.5 what is the speed of light in medium whose R.I is 4÷3

Answer 1

$ri = c \div v$

4/3=3×10^8÷v

v= 9×10^8÷4

= 2.25×10^8

HENCE THE SPEED OF LIGHT IN THE MEDIUM HAVING THE GIVEN R.I. IS 2.25×10^8 ...

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Answer 2

Given that,

Speed of light in glass, $v_1=2\times 10^8\ m/s$

Refractive index 1, $n_1=1.5$

Refractive index 2, $n_2=\dfrac{4}{3}=1.34$

To find,

The speed of light in medium.

Solution,

The formula of refractive index is given by :

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

Here,

c is speed of light in vacuum

v is speed of light in a medium

It is clear that the refractive index is inversely proportional to the speed of light in a medium such that,

$\dfrac{n_1}{n_2}=\dfrac{v_2}{v_1}$

So,

$v_2=\dfrac{n_1v_1}{n_2}\\\\v_2=\dfrac{1.5\times 2\times 10^8}{1.34}\\\\v_2=2.23\times 10^8\ m/s$

So, the speed of light in the medium is $2.23\times 10^8\ m/s$.

Learn more,

Refractive index

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