Question

The refractive indices of ice and diamond are 1.36 and 2.54 respectively. The R.I. of diamond w.r.t. ice is

4 points

A 0.53

B 1.667

C 1.867

D 1.767​

Answer 1

Hola mate! Here is your answer:

Given:

R. I. of Ice= 1.36

R. I. of Diamond= 2.54

To find:

R. I. of diamond with respect to ice

Solution:

$\frac{2.54}{1.36}$

$= 1.867$

So option C is Correct✔✔

Answer 2

Given:

The refractive indices of ice and diamond are 1.36 and 2.54 respectively.

To find:

Refractive Index of Diamond w.r.t Ice

Calculation:

Let Refractive Index of Diamond w.r.t Ice be $\mu_{DI}$.

$\boxed{ \sf{\mu_{DI} = \dfrac{ \mu \: of \: diamond \: w.r.t \: air}{ \mu \: of \: ice \: w.r.t \: air} }}$

Putting available values ;

$= > \sf{\mu_{DI} = \dfrac{2.54}{1.36} }$

$= > \sf{\mu_{DI} = 1.867 }$

Since Refractive Index is a ratio of similar terms, hence it doesn't have any units.

So, final answer is:

$\boxed{ \bold{ \red{ \huge{\mu_{DI} = 1.867 }}}}$