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Question

Light is incident from glass medium to air medium. The variation of the angle of deviation δ with the angle of incidence i for 0<i<90 is shown. The refractive index of glass is 23. If the value of (x+y+z) is nπ6 then find value of n_______.


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Solution


From the figure, x is the minimum angle of incidence for total internal reflection. x=C=sin1(32)=π3.

if , i=Cr=π2δ=(ri)=π2C

y=π2π3.=π6 (for total internal reflection),

If i=Cδ=1802i=1802C.z=π2(π3)=(π3)

x+y+z=π3+π6+π3=5π6

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