Question

Q1.The refractive index of glass is 32 and that of water is 43 with respect to air. Calculate the refractive index of glass with respect to air

Answer 1

Step-by-step explanation:

Correct Question :

The refractive index of glass is 3/2 and that of water is 4/3 with respect to air. Calculate the refractive index of glass with respect to water.

Given :

• Refractive index of glass = 3/2
• Refractive index of water = 4/3

To Find :

Refractive index of glass with respect to water.

Solution :

❖ Refractive index of medium 1 with respect to medium 2 is given by

η₁₂ = η₁ / η₂

Here we are asked to find refractive index of glass with respect to water. Hence the formula will be,

$\sf:\implies\:\eta_{GW}=\dfrac{\eta_G}{\eta_W}$

$\sf:\implies\:\eta_{GW}=\dfrac{(3/2)}{(4/3)}$

$\sf:\implies\:\eta_{GW}=\dfrac{3}{2}\times\dfrac{3}{4}$

$:\implies\:\underline{\boxed{\bf{\orange{\eta_{GW}=\dfrac{9}{8}=1.125}}}}$

Knowledge BoosteR :

• Refractive index of medium is defined as the ratio of speed of light in vacuum to the speed of light in medium.
• It is an unitless as well as dimensionless physical quantity.

Answer 2

Answer:

2

Step - Step method

The refractive index of glass with respect to air  = 2/3

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

Therefore, refractive index of water with respect of glass

refractive index of water

______________________  

refractive index of glass

 = 4/3

   ____

  2/3

= 4/3 x 3/2 = 2