Question

you are given three media x,y and z of refractive index 1.33,1.63 and 1.54. the medium which light will travel slowest is​

Answer 1

Answer:-

Light will travel slowest in medium 'y' .

Explanation:-

We know that :-

n = c/v

Where :-

• n is the refractive index.

• c is the velocity of light in vaccum.

• v is the velocity of light in given

medium.

Let the velocity of light in medium 'x' be v₁ , in medium 'y' be v₂ and in medium 'z' be v₃

For medium 'x' :-

=> 1.33 = 3×10⁸/v₁

=> 1.33v₁ = 3×10⁸

=> v₁ = 3×10⁸/1.33

=> v₁ = 2.25×10⁸ m/s

For medium 'y' :-

=> 1.63 = 3×10⁸/v₂

=> 1.63v₂ = 3×10⁸

=> v₂ = 3×10⁸/1.63

=> v₂ = 1.84×10⁸ m/s

For medium 'z' :-

=> 1.54 = 3×10⁸/v₃

=> 1.54v₃ = 3×10⁸

=> v₃ = 3×10⁸/1.54

=> v₃ = 1.95×10⁸ m/s

∴ v₁ > v₃ > v₂

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We can also solve this problem using :-

n ∝ 1/v

Means, more the refractive index, the less is the velocity of light in that medium.