1.

The equation of refraction at a spherical surface is  µ₂/v - µ₁/u =(µ₂-µ₁)/R Taking R = ∞, show that the equation leads to the equation  Real depth/Apparent depth = µ₁/µ₂ for refraction at a plane surface.

Answer»

The equation of refraction at a spherical surface is  µ₂/v - µ₁/u =(µ₂-µ₁)/R 

Given that R = ∞, (Implies that the surface is plane) 

Hence, µ₂/v - µ₁/u = 0 

→µ₂/v = µ₁/u  

→µ₁/µ₂ = u/v = h₁/h₂ = Real Depth/Apparent depth



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