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The X-z plane separates two media A and B of refractive indicesmu_1 = 1.5 and mu_2 = 2.A ray of light travels from A to B. Its directions in the two media are given by unit vectors baru_1= ahati + bhatj and baru_2= c hati +dhatj. Then |
Answer» SOLUTION : ` tani=a/b so SINI(a)/(sqrt(a^2 +b^2))` ` and tanr= (C )/(d ) , sinr = (c )/( sqrt(c^2 +d^2))` ` mu_1sin I = mu_2sin r` ` ((3)/(2)) ((a)/(sqrt(a^2 +b^2)))=2 ((c )/(sqrt(c^2 +d^2)))` BUTAS` a HATI + b hatjand c hati + d hatj` are unitvectorsso ` sqrt(a^2+b^2 ) = sqrt(c^2 +d^2)=1` hence`3/2a= 2c , so (a)/(c ) = (4 )/(3) ` |
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