Question

(i) What is the relation between the refractive index of water with respect to air (aµw) and the refractive index of air with respect to water (wµa).

(ii) If the refractive index of water with respect to air (aµw) is 5/3, Calculate the refractive index of air with respect to water (wµa).​

Answer 1

Answer:

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refractive index of water with respect to air=refractive index of water/refractive index of air=4/3. so refractive index of air with respect to water =refractive index of air/refractive index of water=3/4.

Answer 2

Answer:

(i)  The refractive index of water with respect to air (aµw) and the refractive index of air with respect to water (wµa) are inversely related to each other.

(ii)The refractive index of air with respect to water (wµa) is $\frac{3}{5}$.

Explanation:

(i) The refractive index of water with respect to air ($a\mu_w$)=$\frac{\mu_w}{\mu_a}$   (1)

The refractive index of air with respect to water($w\mu_a$)=$\frac{\mu_a}{\mu_w}$   (2)

By analyzing equations (1) and (2) we get;

$a\mu_w=\frac{1}{w\mu_a}$      (3)

(ii) From the question we have,

$a\mu_w=\frac{5}{3}$      (4)

So,

$w\mu_a=\frac{3}{5}$       (By using equation (3))

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