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  • A ray of light is incident normally on one of the faces of a prism of apex angle and refractive ind

A ray of light is incident normally on one of the faces of a prism of apex angle 30^{\circ} and refractive index \sqrt{2}. The angle of deviation of the ray is

Option: 1

15^{0}


Option: 2

75^{\circ}


Option: 3

30^{\circ}


Option: 4

none of these

 


Answers (1)

best_answer

Besides the formulae given for prism, we can always use the basic laws of refraction. Using Snell's law for the refraction at AC, we obtain



\frac{\sin \mathrm{i}}{\sin r}=\frac{\mathrm{n}_{2}}{\mathrm{n}_{1}}
\Rightarrow \quad \frac{\sin 30^{\circ}}{\sin r}=\frac{1}{\sqrt{2}}
\Rightarrow \sin r=1 / \sqrt{ } 2
\Rightarrow r=45^{\circ}.

The angle of deviation, \mathrm{D=45^{\circ}-30^{\circ}}
                                           \mathrm{= 15^{\circ}}.   

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