Calculate the refractive index of the material for the glass prism in the diagram above

Calculate the refractive index of the material for the glass prism in the diagram above
  • A.√2/2
  • B.4/3
  • C.
    √2
  • D.3/2
Correct Answer: Option C
Explanation
n = sin((A+D)/2)
sin(A/2)

where A = the refracting angle of the prism(60o)
D = angle of deviation of the ray (30o)

n = sin((60+30)/2)
sin(60/2)
= sin 45
sin 30

= 1/√2/1/2√2/2/1/2
= √2/2 x 2/1 = √2
n = √2

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