Question

Speed of light in glass is 2 into 10 ki power 8 metre per second and its refractive index is 1.5 what is the speed of light in medium whose refractive index is 4 upon 3

Answer 1

n1/n2=v2/v1=1.5/(4/3)=v2/2*10^8
9/8*2*10^8=v2
v2= 2.25*10^8m/s

Answer 2

Given :

Speed of light in glass is , $v_g=2\times 10^{8}\ m/s$ .

Refractive index of glass , $n_g = 1.5$ .

To Find :

The speed of light in medium whose refractive index is , $n=\dfrac{4}{3}$ .

Solution :

Let , speed of light in medium be v .

We know , speed of light is inversely proportional the refractive .

Therefore ,

$\dfrac{v_g}{v}=\dfrac{n}{n_g}$

Putting all given values in above equation :

 $\dfrac{2\times 10^8}{v}=\dfrac{\dfrac{4}{3}}{1.5}\\\\\dfrac{2\times 10^8}{v}=\dfrac{4}{4.5}\\\\v=\dfrac{2\times 10^8\times 4.5}{4}\\\\v=2.25\times 10^8\ m/s$

The speed of light in the medium is $2.25\times 10^8\ m/s$ .

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