Question

The refractive index of water with respect to air is 43. The refractive index of air with respect to water will be
(a) 1.75
(b) 0.50
(c) 0.75
(d) 0.25

Answer 1

The refractive index of air with respect to water will be 0.75, option C is correct.

Explanation:

1. Here refractive index ($n_{a}^{w}$) of water with respect to air = $\frac{4}{3}$.

2. Now refractive index ($n_{w}^{a}$) of air with respect to water

   $n_{w}^{a} = \frac{1}{n_{a}^{w}}$

 

3. So

  $n_{w}^{a} = \frac{1}{(\frac{4}{3})}$

  $n_{w}^{a} = \frac{3}{4}$

4.  So refractive index of air with respect to water  

  $n_{w}^{a} = 0.75$

Answer 2

Refractive Index is Option (c) 0.75

Explanation:

• Refractive Index of Air with respect to water = $\frac {1}{Refractive\ Index\ of\ Water\ with\ respect\ to\ Air}$

• `Refractive Index of Air with respect to water = $\frac {3}{4}$

= 0.75