Question

The refractive index of a medium x with respect to y is 2/3 and the refractive index of medium y with respect to z is 4/3 Calculate the refractive index of medium z with respect to medium x

Answer 1

Explanation:

(I) Z/X=?

X/Y=2/3

Y=3X/2...(1)

Y/Z=4/3

Y=4Z/3...(2)

Equate RHS of (1) and (2)

3X/2=4Z/3

9X=8Z

Therefore, Z/X=9/8.

Hence, refrective index of medium Z w.r.t medium X is 9/8.

(II)Let speed of light in medium 'Y' be 'V'

Let speed of light in medium 'X' be 'C' i.e. 3*10^8m/s

So, Y/X=3/2...(3)

C/V=3*10^8/V...(4)

Equate RHS of (3) and (4)

3/2=3*10^8/V

So, 3V=3*10^8*2

Therefore, V=3*10^8*2/3

V=10^8*2

Therefore, V=2*10^8m/s

Hence, speed of light in medium Y is 2*10^8m/s