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The equation of refraction at a spherical surface is μ 2 / v – μ 1 /u = μ 2- μ 1 /R taking R=∞, show that this equation leads to equation real depth/ apparent depth = μ 2 /μ 1


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


Grade:12

1 Answers

Chetan Mandayam Nayakar
312 Points
10 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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