Question #129561

A glass prism made from a material of refractive index 1.86 has a refracting angle of 600. The prism is immersed in a water of refractive index 1.33. Determine the minimum deviation for a parallel beam of light transversing the prism


1
Expert's answer
2020-08-14T15:59:48-0400

n=sin(ϕ+δ2)sin(ϕ2)n=\frac{\sin(\frac{\phi+\delta}{2})}{\sin(\frac{\phi}{2})}\to


δ=2arcsin(nsin(ϕ2))ϕ=\delta=2\arcsin{(n\sin(\frac{\phi}{2}))}-\phi=



=2arcsin(1.861.33sin(60°2))60°=28.72°=2\cdot\arcsin{(\frac{1.86}{1.33}\sin(\frac{60°}{2}))}-60°=28.72°


The angle of minimum deviation is 28.72°28.72°.


















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