Question

Refractive index of water with respect to air is 1.33 and that of diamond is

2.42.


(i) In which medium does the light move faster, water or diamond?


(ii) What is the refractive index of diamond with respect to water?​

Answer 1

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i) It is given that :-

• Refractive Index of water = 1.33
• Refractive Index of diamond = 2.42

Now is a fact that Refractive Index of a medium is inversely proportional to speed of light in it.Means if Refractive Index of a medium is high then light will travel slow in it, and if refractive Index of a medium is low then light will travel faster in it.

We can see that here refractive Index of diamond is greater than refractive Index of water.

Therefore light will travel slow in diamond and light will travel faster in water.

ii) Refractive Index of a medium with respect to another medium is the ratio of speed of light in it to speed of light in second medium.

Now refractive Index of diamond with respect to water will be :

$\mu = \frac{2.42}{1.33}$

$\mu \: = \cancel \frac{2.42}{1.33} = 1.82$

Therefore refractive Index of diamond with respect to water is 1.82

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BY SCIVIBHANSHU

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