Question

what is the speed of light in diamond if the refractive index of diamond is 2.4 and velocity of light in vacuum is 3×10

Answer 1

Speed of the light in air = 3 × 10^8 m/s
Given Refractive index of diamond = 2.4
Refractive index = speed of the light in air / speed of the light in medium.
2.4 = 3 × 10^8 m/s / Speed of light in medium
Speed of light in medium = 3×10^8 / 2.4 m/s.
= 1.25 × 10^8 m/s.
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Answer 2

Answer:

Explanation:

Concept:

Refraction index and index of refraction are other names for the term "refractive index." The characteristics of the medium affect the speed of light in that medium. The optical density of the medium affects the speed of electromagnetic waves. The propensity of the atoms of a substance to restore the absorbed electromagnetic energy is known as optical density. The optical density of a material determines how fast light travels through it. The refractive index is one such measure of a medium's optical density.

• The refractive index of a media is the ratio of the speed of light in a vacuum to the speed of light in that medium.
• A different name for it is an absolute refractive index.

$\text { Refractive index }(\mu)=\frac{\text { Speed of light in vaccum }(c)}{\text { Speed of light in medium (v) }}$

Given:

• The refractive index of diamond is $2.4$
• Velocity of light in vacuum is $3\times 10^{8} m/s$

Find:

To find the speed of light in diamond.

Solution:

Consider the given data,

Refractive index of diamond is $2.4$ and Velocity of light in vacuum is $3\times 10^{8} m/s$

Calculate  the speed of light in diamond.

Substitute the given information in the above formulae

$2.4=\frac{3 \times 10^{8}}{\text { Speed of light in medium }(v)}$

(Speed of light in medium $(v)=\frac{3 \times 10^{8}}{2.4}$

$v=1.25 \times 10^{8} \mathrm{~m} / \mathrm{s}$

Therefore, the speed of light in diamond is $1.25 \times 10^{8} \mathrm{~m} / \mathrm{s}$.

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