Q.

An equilateral prism ABC is placed in air with its base side BC lying horizontally along x-axis. A light ray 3z+x=10  is incident at a point P on face AB of the prism.The value of  μ of prism for which the ray grazes the face AC is

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a

32

b

23

c

2

d

2

answer is B.

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Detailed Solution

This ray falls normally on AB r1=0 , r2=A=C=600μ=1sin600=23
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An equilateral prism ABC is placed in air with its base side BC lying horizontally along x-axis. A light ray 3z+x=10  is incident at a point P on face AB of the prism.The value of  μ of prism for which the ray grazes the face AC is