The equation of refraction at a spherical surface is

μ₂ / v – μ₁ /u = μ_2- μ₁ /R

taking R=∞, show that this equation leads to equation

real depth/ apparent depth = μ₂/μ₁

Dear Nikhil, 

The liquid surface is flat. This implies that it is like a sphere of infinite radius. Thus, R=∞. real depth= distance of actual object from surface(inside liquid)=u, apparent depth=distance of image from surface, within liquid=v, therefore solving the equation μ₂ / v – μ₁ /u = μ_2- μ₁ /R, taking R=infinity, we get the required result.

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