If the index of refraction of water is 1.33, calculate the speed of light in water. v = m/s

4.43 x 10-8
2.26 x 108
3.99 x 108
1.70 x 108

The correct option is;

2.26 × 10⁸

Explanation:

The index of refraction, in a medium, n = The speed of light in air/(The speed of light in the medium)

The speed of light = 299792458 m/s

Given that the index of refraction of water = 1.33, we have;

1.33 = 299792458/(The speed of light in water)

The speed of light in water = 299792458/1.33 = 225407863.58 m/s ≈ 2.26 × 10⁸ m/s

The speed of light in water ≈ 2.26 × 10⁸ m/s

Therefore;

v ≈ 2.26 × 10⁸ m/s.