Question

The refractive index of diamond is 2.4 and refractive
index of diamond with respect to glass is 1.6. The
speed of light in glass is (assuming speed of light in
air is 3 x 108 ms -1]
​

Answer 1

Answer:

2×10 raise to the power of 8

Explanation:

Answer 2

Speed of light in glass is 2 × 10⁸ m/s

Explanation:

Given:

Refractive index of diamond $\mu_{d/a}=2.4$

Refractive index of diamond w.r.t. glass $\mu_{d/g}=1.6$

To find out:

Speed of light in glass

Solution:

We know that if refractive index of medium 1 is $\mu_1$ and refractive index of medium 2 is $\mu_2$

Then, refractive index of medium 1 w.r.t. medium 2 is given by

$\boxed{\mu_{1/2}=\frac{\mu_1}{\mu_2}}$

Thus,

$\mu_{d/g}=\frac{\mu_{d/a}}{\mu_{g/a}}$

$\implies \mu_{g/a}=\frac{\mu_{d/a}}{\mu_{d/g}}$

$\implies \mu_{g/a}=\frac{2.4}{1.6}$

We also know that

$\boxed{\text{Refractive index of a medium}=\frac{\text{Speed of light in vacuum (air)}}{\text{Speed of light in medium}}}$

Therefore,

$\mu_{g/a}=\frac{3\times 10^8}{\text{Speed of light in glass}}$

$\implies\frac{2.4}{1.6}=\frac{3\times 10^8}{\text{Speed of light in glass}}$

$\implies \text{Speed of light in glass}=\frac{3\times 10^8\times 1.6}{2.4}=2\times 10^8$ m/s

Hope this answer is helpful.

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