Optics 7 Question 36

37. Figure shows an irregular block of material of refractive index 2. A ray of light strikes the face AB as shown in the figure. After refraction it is incident on a spherical surface CD of radius of curvature 0.4m and enters a medium of refractive index 1.514 to meet PQ at E. Find the distance OE upto two places of decimal.

(2004,2M)

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Solution:

  1. Applying Snell’s law on face AB,

(1)sin45=(2)sinrsinr=12 or r=30

i.e. ray becomes parallel to AD inside the block.

Now applying,

μ2vμ1u=μ2μ1R on face CD,1.514OE2=1.51420.4

Solving this equation, we get OE=6.06m



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