Geometrical OpticsMedium

Question

A ray of monochromatic light is passing through an equilateral prism $(ABC)$ as shown in the figure. The refracted ray $(QR)$ is parallel to its base $(BC)$ and the angle of incidence $(i)$ is 50°. Then the angle of deviation $(\delta)$ is:

Options

A.45°
B.35°
C.40°
D.55°

Solution

Sol. [Key Concept: Refraction & deviation through a prism]

$${i = e } $$Equation of prism

$$\begin{matrix} & i + e = A + \delta \\ & 2i - A = \delta \\ & 2(50) - 60 = \delta \\ & \delta = 40^{\circ} \end{matrix}$$

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