The table below gives the refractive index of a few materials and the speed of light in that medium

The speed of light in a medium 'A' having refractive index 2 .00 will be

Options

A. ` 1 . 5 xx 10 ^(8) m// s `
B. ` 2 . 0 xx 10 ^(8) m // s `
C. ` 3 . 0 xx 10 ^(8) m // s `
D. ` 6 . 0 xx 10 ^(8) m // s `

Answer

A

Explanation

If `n_(1) and n_(2)` are the refractive indices of the first and the second medium with respect to vacuum, and the speed of light in the first and second medium is `v_(1) and v_(2)` respectively, Snell.s can be written as
` n_(21) = (sin i)/( sin r) = (v_(1))/( v_(2)) = (( c // n_(1)))/( (c// n_(2))) = (n_(2))/( n_(1))`