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The equation of refraction at a spherical surface is

μ2 / v – μ1 /u = μ2- μ1 /R

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

real depth/ apparent depth = μ21

NIKHIL GARG , 14 Years ago
Grade 12
anser 1 Answers
Chetan Mandayam Nayakar

Last Activity: 14 Years ago

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 = μ2- μ1 /R, taking R=infinity, we get the required result.

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