Question

If the refractive index of glass is 1.50 and for alcohol 1.36, with respect to air then find the refractive index of glass with respect to alcohol.

Answer 1

x is the refractive index here

x of glass w.r.t. air=1.50=x1

x of alcohol w.r.t. air=1.36=x2

now , x of glass w.r.t. alcohol is = x1/x2

= 1.50/1.36 = 1.1 will be the ans.

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Answer 2

Given that, refractive index of glass is 1.50 and for alcohol 1.36.

We have to find the refractive index of glass with respect to alcohol.

Refractive index of air with respect to glass = (Speed of light in air)/(Speed of light in glass) = 1.50 ..............(A)

Similarly,

Refractive index of air with respect to alcohol = (Speed of light in air)/(Speed of light in alcohol) = 1.36 ...........(B)

So,

Refractive index of glass with respect to alcohol = (Refractive index of air with respect to glass)/(Refractive index of air with respect to alcohol)

Substitute value of (A) and (B) in the above formula to find the value of refractive index of glass with respect to alcohol.

Refractive index of glass with respect to alcohol = 1.50/1.36

= 1.10

Therefore, the refractive index of glass with respect to alcohol is 1.10.