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Asked by venkat 23rd May 2018, 11:20 AM
Answered by Expert
Answer:
when refraction is taking place in a prism, we have relation between angles r+r' = A 
where A is angle of prism, r and r' are angle of refractions as shown in figure.
 
For minimum deviation we have  r = r' = A/2
 
we have refractive index μ = sin(e) /sin(r') 

for beginning of internal reflection i.e. the emergent ray just grazing on prism surface, we have e =90º
 
begin mathsize 12px style mu space equals space fraction numerator 1 over denominator sin space r apostrophe end fraction space equals space fraction numerator 1 over denominator sin space left parenthesis A divided by 2 right parenthesis end fraction space equals space cos e c space left parenthesis A divided by 2 right parenthesis space equals space square root of 1 plus c o t squared left parenthesis A divided by 2 right parenthesis end root end style
Answered by Expert 25th May 2018, 3:24 PM
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