Question

Calculate the speed of light in water when the refractive index of water is
1.33.
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Answer 1

Refractive index = Speed of light in vaccum / Speed of light in water. It is denotes as n = c / v, v = c / n= 3 × 10^8 m/s / (1.33) = 2.25 × 10^8 m/s. Therefore, refractive index of the water can be measure by the Speed of light in water is 2.25 × 10^8 m/s.

Answer 2

Question :-

Calculate the speed of light in water when the refractive index of water is 1.33.

Given :-

• Refractive index of water = 1.33

To Find :-

• Calculate the speed of light in water ?

Solution :-

As we know that ,

Refractive index of water =

$\frac{ \: Speed \: of \: light \: in \: vacuum \: }{ \: Speed \: of \: light \: in \: water \: }$

Speed of light in water =

$\frac{ \: Speed \: of \: light \: in \: vacuum \: }{ \: refractive \: index \: of \: water \: }$

$\frac{3.0 \: \times {10}^{8} \: meter \: per \: second }{1.33}$

$= 2.26 \: \times {10}^{8} meter \: per \: second \:$

↠ So, Light travels in water at the speed of 2.26 × 10⁸ m/s .

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