The Y-Z plane separates two media A and B of refractive indices μ1=1.5 and μ2=2. A ray of light travels from A to B. Its directions in two media are given by unit vectors u1→=ai^ + bj^ and u2→= ci^ + d j^ Then
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a
ac=43
b
ac=34
c
bd=43
d
bd=34
answer is C.
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Detailed Solution
as the light rays are falling on the yz plane X axis is perpendicular to the plane. then angle or incidence with X axis tan i will be ba and sin i will be ba2+b2=b smilarly sinr= dc2+d2 =d as U1 and U2 are unit vectors a2+b2=c2+d2=1 according to Snell's law μ1sini =μ2sin r 32b=2d bd=43