Question

The velocity of light in vacuum is 3 x 10^8 m/s and in glass is 2 x 10^8 m/s. The refractive index of glass is?

answer my question​

Answer 1

AnswEr :

• The required refractive index of glass is 1.5.

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Given :

• Velocity of light in vacuum=3×10⁸m/s.
• Velocity of light in glass = 2 × 10⁸m/s.

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Unknown :

• Refractive index of glass = ?

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Calculations :

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Here in this question we are asked to find out the Refractive index of glass, and we are given with Velocity of light in vacuum and Velocity of light in glass, let's solve our problem and understand the steps to get our final answer!

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We know that, if we are given with the velocity of light in vacuum and velocity of light in glass, then we can find the Refractive index of glass by using the formula, which says :

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• μ = c/v.

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[Here, μ is the refractive index of glass, c is the velocity of light in vacuum and v is the velocity of light in glass.]

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So let's calculate refractive index of glass !

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By using the formula to calculate refractive index of glass and substituting all the given values in the formula, we get :

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→ μ = 3 × 10⁸/2 × 10⁸

→ μ = 3/2

→ μ = 1.5

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Hence, the refractive index of glass is 1.5.

Answer 2

Answer:

Given :-

• The velocity of light in vaccum is 3 × 10⁸ m/s and in glass is 2 × 10⁸ m/s.

To Find :-

• What is the refractive index of the glass.

Formula Used :-

$\clubsuit$ Refractive Index of Glass :

$\longmapsto \sf\boxed{\bold{\pink{\mu =\: \dfrac{c}{v}}}}$

where,

• μ = Refractive Index of glass
• v = Velocity of light of medium
• c = Velocity of light in vaccum

Solution :-

Given :

• Velocity of light in vaccum = 3 × 10⁸
• Velocity of light in medium = 2 × 10⁸

According to the question by using the formula we get,

$\dashrightarrow \sf \mu =\: \dfrac{3 \times \cancel{10^{8}}}{2 \times \cancel{10^{8}}}$

$\dashrightarrow \sf \mu =\: \dfrac{\cancel{3}}{\cancel{2}}$

$\dashrightarrow \sf\bold{\red{\mu =\: 1.5}}$

$\therefore$ The refractive index of a glass is 1.5.