Geometrical OpticsHard
Question
Consider an equilateral prism (refractive index $\sqrt{2}$ ). A ray of light is incident on its one surface at a certain angle $i$. If the emergent ray is found to graze along the other surface then the angle of refraction at the incident surface is close to $\_\_\_\_$ .
Options
A.$15^{\circ}$
B.$20^{\circ}$
C.$40^{\circ}$
D.$30^{\circ}$
Solution
Equilateral prism.
$$A = 60^{\circ} $$
$${\mu{Sinr}_{2} = 1.sine = 1 }{{Sinr}_{2} = \frac{1}{\mu} = \frac{1}{\sqrt{2}} }{r_{2} = 45^{\circ} }{\therefore r_{1} = A - r_{2} = 15^{\circ}}$$
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