Light propagates 2 cm distance in glass of refractive index 1.5 in time `t_(0)`. In the same time `t_(0)`, light propagates a distance of 2.25 cm in medium. The refractive index of the medium is

Options

A. `4//3`
B. `3//2`
C. `8//3`
D. `1//2`

Answer

A

Explanation

For a given time, optical path remains constant
`:.mu_(1)x_(1)=mu_(2)x_(2)` or `1.5xx2=mu_(2)xx2.25`
`:.mu_(2)=(1.5xx2)/(2.25)=(2)/(1.5)=(20)/(15)=(4)/(3)`