The x-z plane separates two media A and, B of refractive indices μ1=1.5and μ2=2. A ray of light travels from A to B. Its directions in the two media are given by unit vectors u→1=ai^+bj^ and u→2=ci^+dj^. Then
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a
ac=43
b
ac=34
c
bc=43
d
bd=34
answer is A.
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Detailed Solution
From Snell's law: 1.5 sin i : 2 sin r1.5×aa2+b2=2×cc2+d2⇒ac=43[∵a2+b2=c2+d2=1(unit vector)]
The x-z plane separates two media A and, B of refractive indices μ1=1.5and μ2=2. A ray of light travels from A to B. Its directions in the two media are given by unit vectors u→1=ai^+bj^ and u→2=ci^+dj^. Then