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Q.

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)]
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