Light enters from air into diamond which has a refractive index of 2.42. Calculate the speed of light in diamond. The speed of light in air is 3.0 x 108 m/s.

By Ritesh|Updated : November 13th, 2022

The speed of light in air is 3.0 x 108 m/s. Steps to find out the speed of light in the diamond:

Step 1: Given data is as follows

The speed of light in air = 3.0 x 108 m/s

Refractive index of diamond (n) = 2.42

Step 2: Now we have to use the formula

A medium's refractive index is determined by,

Refractive index of the medium = speed of light in air/ speed of light in the medium

Or

Speed of light in medium = speed of light in air/ refractive index of the medium

Step 3: Now we have to calculate the speed of light in a diamond:

Speed of light in diamond = speed of light in air/ 2.42

Substituting the values we get

Speed of light in diamond = 3.0 x 108/ 2.42

In simplification we get the:

Speed of light in diamond = 1.24x 108 m/s

Hence, the speed of light in a diamond will be 1.24x 108 m/s.

Characteristics of Diamond

  • Transparency, lustre, light scattering, and colour are the four primary optical properties of diamonds.
  • Diamond is absolutely clear and translucent in its pure carbon state.
  • It's nearly hard to find perfection with natural products, either.
  • The hardest substance known to man is a diamond.
  • The only factors that distinguish this unsightly bit of coal from this lovely diamond are pressure and heat.
  • This lovely diamond didn't begin as it does in its finished state.
  • In actuality, uncut diamonds lack brilliance and have a greasy sheen.
  • However, the same stones have a high lustre after being cut.
  • The main goal of diamond cutting is to enhance the stone's fire and brilliance.

Summary:

Light enters from air into diamond which has a refractive index of 2.42. Calculate the speed of light in diamond. The speed of light in air is 3.0 x 108 m/s.

Light enters from the air into a diamond which has a refractive index of 2.42. The speed of light in a diamond will be 1.24x 108 m/s. The speed of light in air is 3.0 x 108 m/s.

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