Question

The refractive index of glass with respect to air is 3/2 and refractive index of water with respect to air is 4/3 . What will be the refractive index of water with glass .... Answer needed with steps

Answer 1

Answer:

8/9

Explanation:

REFRACTIVE INDEX OF GLASS/AIR = 3/2

AND. WATER/AIR = 4/3

THEREFORE,

REFRACTIVE INDEX OF WATER/GLASS WILL BE :-

= 4/3/3/2

= 4/3 × 2/3

= 8/9

or you can solve it , 8/9 = 1.125

Answer 2

Answer:

The refractive index of water with glass is $\frac{8}{9}$.

Explanation:

The refractive index of glass with respect to air is calculated as,

$\mathrm{\mu_a=\frac{\mu_2}{\mu_1} }$      (1)

Where,

μₐ=The refractive index of glass with respect to air

μ₁= The refractive index of air

μ₂=the refractive index of glass

The refractive index of water with respect to air is calculated as,

​$\mathrm{\mu_x=\frac{\mu_2}{\mu_1} }$         (2)

Where,

μₓ=The refractive index of glass with respect to air

μ₁= The refractive index of air

μ₃=the refractive index of water

From the question we have,

The refractive index of glass with respect to air(μₐ)=$\frac{3}{2}$

The refractive index of water with respect to air(μₓ)=$\frac{4}{3}$

Now, the refractive index of water with glass(μ) is calculated as,

$\mathrm{\mu=\frac{\mu_x}{\mu_a} }$             (3)

By inserting all the required values in equation (3) we get;

$\mathrm{\mu=\frac{\frac{4}{3} }{\frac{3}{2} } }$

$\mathrm{\mu=\frac{8}{9}}$

So, the refractive index of water with glass is $\frac{8}{9}$.

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