Question

The refractive index of glass with respect to water is 3/2 and the refractive index of water with respect to air is 4/3.Then what will be the refractive index of water with respect to glass?

Answer 1

Answer on Quetsion#38631, Physics, Optics

Question #38631

The refractive index of glass with respect to water is 3/2 and the refractive index of water with respect to air is 4/3. Then what will be the refractive index of water with respect to glass?

Answer

The refractive index of glass with respect to water determined as

$$n _ {\text {glass to water}} = \frac {v _ {\text {water}}}{v _ {\text {glass}}}$$

Where

$v_{\text{water}}$ is the speed of light in water

$v_{\text{glass}}$ is the speed of light in glass

The refractive index of water with respect to glass determined as

$$n _ {\text {water to glass}} = \frac {v _ {\text {glass}}}{v _ {\text {water}}}$$

According to this

$$n _ {\text {water to glass}} = \frac {1}{n _ {\text {glass to water}}} = \frac {1}{3 / 2} = \frac {2}{3}$$

Answer: 2/3.