When we get capacitance from LCR meter bridge, on substituting values we get dielectric constant of a sample solution. But, how do we get refractive index of the sample solution without using Abbe's refractometer?
Depending on your needs and desired accuracy, a handheld refractometer is a very inexpensive instrument. Temperature and concentration are the primary variables as tiny changes in these result in large changes in RI.
I recall from my school days we used sugar solutions and pure water to estimate RI of various solutions using known values. For example: 80% sugar solution in water ~ 1.50. Pure water ~ 1.33. Using solutions of known values you could compare refraction of monchromatic light to estimate. Now this will only allow you to interpolate between the two largest RI points you use, so your sample must lie between them. But why do this when a handheld unit is inexpensive and often available in most parts of the world and any major University's science department would have one.
You can also spend hours going through fundamental physics books (snell's law and other useful equations) to review the mathematics of the calculations too.
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