The angle of deviation ( $δ$ ) versus angle of incidence(i) is plotted for a prism.
Pick up the correct statements.
a) Angle of the prism is 60°
b) The refractive index of prism is $\sqrt{3}$
c) For deviation to be 65°, the angle of incidence i=55°
d) The curve of δ-i graph is parabolic

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a, b correct

b,c correct

a,b,c are correct

All correct

answer is C.

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Detailed Solution

For minimum deviation,

$δ_{m} = 2 i - A$

$\Rightarrow A = 2 i - δ_{m} = 60^{0}$

$μ = \frac{\sin (\frac{A + δ_{m}}{2})}{\sin \frac{A}{2}}$

$\Rightarrow μ = \frac{\sin (\frac{60 ° + 60 °}{2})}{\sin \frac{60 °}{2}} = \sqrt{3}$

$δ = i + e - A$

$\Rightarrow i = δ + A - e = 65^{0} + 60^{0} - 70^{0} = 55^{0}$

The curve of δ-i graph is not parabolic.

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