The speed of light in air is 3 x 108ms-1. If the refractive index of light from air-to-water is \(\frac{4}{3}\), then which of the following is the correct value of the speed of light in water?

A.

4 x 108ms-1

B.

2.25 x 108ms-1

C.

\(\frac{4}{9}\) x 108ms-1

D.

2.25 x 102ms-1

E.

4.33 x 108ms-1

Correct answer is B

Air to water = \(\frac{\text{speed in air}}{\text{speed in water}}\)

\(\frac{4}{3}\) = \(\frac{3 \times 10^8}{V}\)

4V = 3(3 x 108)

V = \(\frac{3(3 \times 10^8)}{4}\)

V = 2.25 x 108ms-1