Question

The speed of light in vacuum and in two different glasses is given in the table below Medium
Speed of light
Vacuum
Flint glass
Crown glass
3.00 × 108 m/s
1.86 × 108 m/s
1.97 × 108 m/s
(a) Calculate the absolute refractive indexes of flint glass and crown glass.
(b) Calculate the relative refractive index for light going from crown glass to flint glass.

Answer 1

Explanation:

As we know the refractive index is the ratio between the speed of light in vacuum/air and speed of light in the medium.

i.e., $n = \frac{c}{v}$

Here, from the question, we have the speed of light in vacuum, flint glass and crown glass.

So now, to calculate the absolute refractive indexes of flint glass and crown glass:

First, nflint= $\frac{\text { Speed of light in vacuum }}{\text { Speed of light in flint glass }}=\frac{3 \times 10^{8} \mathrm{m} / \mathrm{s}}{1.86 \times 10^{8} \mathrm{m} / \mathrm{s}}$

So, nflint = 1.62

Now, ncrown = $\frac{\text { Speed of light in vacuum }}{\text { Speed of light in crown glass }}=\frac{3 \times 10^{8} \mathrm{m} / \mathrm{s}}{1.97 \times 10^{8} \mathrm{m} / \mathrm{s}}$

So, ncrown = 1.53

So to calculate the relative refractive index for light going from crown glass to flint glass:

crownnflint = $\frac{\text {-speed of light in crown glass}}{\text {speed of light in flint glass}}=\frac{1.97 \times 10^{8} \mathrm{m} / \mathrm{s}}{1.86 \times 10^{8} \mathrm{m} / \mathrm{s}}$

So, crownnflint = 1.06

You can get all the answers of Chapter 5 in the link below:

https://brainly.in/question/14963222

Few questions related to this chapter:

(a) State and explain the laws of refraction of light with the help of a la.....

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The refractive indices of four materials A, B, C and D are 1.33, 1.43, 1.71.....

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Answer 2

1.06

Explanation:

speed of light in vacuum = 3×10^8 m/s

Now,

absolute refractive index of glass = 3×10^8 m/s÷ 1.86 ×10^8 m/s........... eq 1

absolute refractive index of crown glass = 3×10^8 m/s÷ 1.97×10^8 m/s........... eq 2

divided eq 1 and 2, we get

1.97×10^8 m/s ÷ 1.86 ×10^8 m/s= 1.06