Question #212460

A prism whose refracting angle is 600 causes a minimum deviation of 48 in a monochromatic bean of light. Calculate the refractive index of the prism for that wavelength.


Expert's answer

μ=sin⁡(A+δ2)sin⁡A2,\mu=\frac{\sin(\frac{A+\delta}2)}{\sin \frac A2},

μ=sin⁡(60°+48°2)sin⁡60°2=5+12=1.618.\mu=\frac{\sin(\frac{60°+48°}2)}{\sin \frac {60°}2}=\frac{\sqrt 5+1}2=1.618.


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