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. `2.67 xx 10^(8)`m/s
B. `2.25 xx 10^(8)` m/s
C. `1.78 xx 10^(8)`m/s
D. `1.50 xx 10^(8)` m/s

Answer

B

Explanation

Since, n` prop (1)/(v) rArr (n_(g))/(n_(w)) = (n_(w))/(v_(g)) rArr ((3)/(2))/(4//3) = (v)/(2 xx 10^(8))`
`rArr " " v_(w) = (9)/(8) xx 2 xx 10^(8) = 2.25 xx 10^(8) `m/s.