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Calculate the refractive index of the material ... - JAMB Physics 2002 Question

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 option: c
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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