Question

1.5 Speed ​​of light through refractive glass 2 × 10⁸ m / s. If the refractive index of water is 4/3, what is the velocity of light in water?


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Answer 1

Correct question :-

If the refractive index of water is 4/3, what is the velocity of light in water.

Answer :-

Velocity of light in water is 2.25 × 10⁸ m/s .

Explanation :-

We have :-

→ Refractive index of water = 4/3

→ Velocity of light in vaccum = 3 × 10⁸ m/s

________________________________

We know that :-

n = c/v

Where :-

• n is the refractive index of the medium.

• c is velocity of light in vaccum.

• v is velocity of light in given medium.

Substituting values, we get :-

⇒ 4/3 = (3 × 10⁸)/v

⇒ 4(v) = 3(3 × 10⁸)

⇒ 4v = 9 × 10⁸

⇒ v = 9 × 10⁸/4

⇒ v = 2.25 × 10⁸ m/s

Answer 2

Given :-

If  the refractive index of water is 4/3,

To Find :-

Velocity of water

Solution :-

We know that

ng = c/v

ng = Refractive Index

c = Speed of light in vaccum

v = Speed of the given medium

4/3 =  3 × 10⁸/v

Cross Multiplication

4 × v = 3 × (3 × 10⁸)

4v = 9 × 10⁸

9 × 10⁸/4 = v

2.25 × 10⁸/1 = v

2.25  × 10⁸