Question

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

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

$\huge \mathfrak \red{Answer :}$

$\implies$ Refractive index of medium 1 with respect to medium 2 is given by

• η₁₂ = η₁ / η₂

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

$\rightarrow \: ηgw = \frac{ηg}{ηw}$

$\rightarrow \: ηgw = \frac{(3 \div 2)}{(4 \div 3)}$

$\rightarrow \: ηgw = \frac{3}{2} \times \frac{3}{4}$

$\rightarrow\: ηgw = \frac{9}{8} = 1.125$