Question

The refractive index of water is 1.33, speed of light in air is (3*10^8)ms-1 calculate speed of light

Answer 1

Given:

The refractive index of water is 1.33, speed of light in air is 3 × 10⁸ m/s.

To find:

Speed of light in water ?

Calculation:

• Refractive Index of any medium is defined as the ratio of speed of light in air to the speed of light in the medium.

$\mu = \dfrac{speed \: in \: air}{speed \: in \: water}$

$\implies 1.33 = \dfrac{3 \times {10}^{8} }{speed \: in \: water}$

$\implies speed \: in \: water = \dfrac{3 \times {10}^{8} }{1.33}$

$\implies speed \: in \: water \approx 2.25 \times {10}^{8} \: m {s}^{ - 1}$

So, speed of light in water is approximately 2.25 × 10⁸ m/s.

Answer 2

Answer:

Speed of light in water = (2.2 * 10^8)ms-1.

Explanation:

The refractive index of water is 1.33

Speed of light in air is (3*10^8)ms-1

According to question calculate speed of light in water .

Refractive index = speed of light in air / speed of light in water

or , 1.33 = (3*10^8)ms-1 / speed of light in water

or , speed of light in water = (3*10^8)ms-1 / 1.33

or , speed of light in water = (2.2 * 10^8)ms-1.

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