The - plane separates two media and of refractive indices and

PHYSICS · Single correct · CBSE · Physics · Light — Reflection and Refraction · Light — Reflection and Refraction

Problem

The xx-zz plane separates two media AA and BB of refractive indices μ1=1.5\mu_1=1.5 and μ2=2\mu_2=2. A ray of light travels from AA to BB. Its directions in the two media are given by unit vectors u⃗1=ai^+bj^\vec{u}_1=a\hat{i}+b\hat{j} and u⃗2=ci^+dj^\vec{u}_2=c\hat{i}+d\hat{j}. Then: (a) ac=43\dfrac{a}{c}=\dfrac{4}{3} (b) ac=34\dfrac{a}{c}=\dfrac{3}{4} (c) bd=43\dfrac{b}{d}=\dfrac{4}{3} (d) bd=34\dfrac{b}{d}=\dfrac{3}{4}

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