The x-z plane separates two media A and B of refractive indices, mu_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 vecmu_1=a hati +b hat j and vec mu=c hati+d hatj . Then

The x-z plane separates two media A and B of refractive indices, mu_1=

1.	The x-z plane separates two media A and B of refractive indices, mu_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 vecmu_1=a hati +b hat j and vec mu=c hati+d hatj . Then
Answer» Solution :so `SIN i=a/sqrt(a^2+b^2)` and `TANR = c/d , sin r= c/sqrt(c^2+d^2)` `mu_1 sin i =mu_2 sin r (3/2) (a/sqrt(a^2+b^2))=2 (c/sqrt(a^2+b^2))` But as `a hati+b hat j and c hati +d hat j` are unit vectors so `sqrt(a^2+b^2)=sqrt(c^2+d^2)=1` HENCE `3/2a=2c, so a/c=4/3`