Question

Refractive index of water is 1.33 and refractive index of glass is 1.5. Calculate
the refractive index of water with respect to glass.the refractive index of glass with respect to water.the refractive index of water with respect to air.

Answer 1

Answer:

R.I of water w.r.t glass is 0.89

R.I of glass w.r.t water is 1.124

Explanation:

Given:

R.I of water w.r.t air =1.33

R.I of glass w.r.t air=1.5

To find:

R.I of water w.r.t glass

R.I of glass w.r.t water

Solution:

Refractive Index (R.I) of a w.r.t b = R.I of a w.r.t air / R.I of b w.r.t air

R.I of water w.r.t glass = R.I of water w.r.t air / R.I of glass w.r.t air

Substituting given values we get,

R.I of water w.r.t. glass = 1.33/1.5 = 0.89

Similarly we find that R.I of glass w.r.t water = 1.5/1.33

Hence, R.I of glass w.r.t water = 1.124

Answer 2

Given: refractive index of water = 1.33

            refractive index of glass = 1.5

To find: (a) The refractive index of water with respect to glass

             (b) The refractive index of glass with respect to water.

             (b) The refractive index of water with respect to air

Solution:

• The refractive index is the measure of the speed of light in that medium. It is the ratio of the speed of light in a vacuum to the speed of light in that medim.

(A) The refractive index of water with respect to glass = refractive index of water/refractive index of glass

=1.5/1,33

= 1.12

(B) Refractive index of glass with respect to water = refractive index of glass/refractive index of water

= 1.33/1.5

= 0.88

(C) Refractive index of water with respect to air = refractive index of water/refractive index of air

= 1.33/1

= 1.33