Question

Refractive index of a glass is 2.4 and
that of diamond is 3.2 calculate the
refractive index of a diamond with
respect to glass and Cid Refractive.
Index of glass with respect to diamond​

Answer 1

Solution :

⏭ Given:

✏ Refractive index of glass = 2.4

✏ Refractive index of diamond = 3.2

⏭ To Find:

✏ Refractive index of diamond wrt glass.

✏ Refractive index of glass wrt diamond.

⏭ Concept:

✏ Refractive index of a medium is defined as ratio of velocity of light in vacuum to the velocity of light in medium.

✏ Refractive index of medium 1 wrt mefium 2 is given by...

$\boxed{\sf{\pink{\large{\eta{12}=\dfrac{\eta_1}{\eta_2}}}}}$

⏭ Calculation:

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• Refractive index of diamond wrt glass :

$\implies\sf\:\eta_{DG}=\dfrac{\eta_D}{\eta_G}\\ \\ \implies\sf\:\eta_{DG}=\dfrac{3.2}{2.4}\\ \\ \implies\:\boxed{\sf{\green{\eta_{DG}=1.33}}}$

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• Refractive index of glass wrt diamond :

$\mapsto\sf\:\eta_{GD}=\dfrac{\eta_G}{\eta_D}\\ \\ \mapsto\sf\:\eta_{GD}=\dfrac{2.4}{3.2}\\ \\ \mapsto\:\boxed{\purple{\sf{\eta_{GD}=0.75}}}$

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Answer 2

ug=2.4

ud=3 .2

refractive index of a diamond with

respect to glass

g u d=ud/ug=3.2/2.4=1.33

Refractive. Index of glass with respect to diamond​

d u g= ug/ud=2.4/3.2=0.75

I hope this helps ( ╹▽╹ )