Math  /  Geometry

QuestionFind the refractive index μ\mu of a sphere with radius RR and a cavity of radius R/2R/2 focusing light at point P. Options: (a) μ=3+52\mu=\frac{3+\sqrt{5}}{2}, (b) μ=352\mu=\frac{3-\sqrt{5}}{2}, (c) μ=3+5\mu=3+\sqrt{5}, (d) μ=1+52\mu=\frac{1+\sqrt{5}}{2}.

Studdy Solution
Calculate the value of μ.
μ=sin0sinarccos(0.75)=+52\mu = \frac{ \sin0}{\sin \arccos(0.75)} = \frac{+\sqrt{5}}{2}So, the correct answer is (a) μ=+52\mu=\frac{+\sqrt{5}}{2}.

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