Refractive index of glass is `(3)/(2)` and refractive index of water is `(4)/(3)`. If the speed of light in glass is `2.00 xx 10^(8)` m/s, the speed in water will be

Options

A. `1.5 xx 10^(8)`
B. `1.78 xx 10^(8)`
C. `2.25 xx 10^(8)`
D. `2.67 xx 10^(8)`

Answer

C

Explanation

`(mu_(g))/(mu_(w)) = (v_(w))/(v_(g))`
`:. v_(w) = (mu_(g))/(mu_(w)) v_(g) = (3//2)/(4//3) xx 2 xx 10^(8)`
`= 2.25 xx 10^(8) m//s`