Question

A plot between the angle of deviation and angle of incidence is shown in figure. From the graph one can say that the prism angle is

• A. ${47}^0$
• B. ${46}^0$
• C. ${45}^0$
• D. ${60}^0$

Answer 1

The correct option is B ${46}^0$

$\begin{array}{c}A=\text{prism angle}\\ \text{from graph}\\ \text{Deviation}\left(D\right)={50}^{\circ }\\ \text{Incidence angle}\left(i\right)={38}^{\circ }\\ \text{emergence angle}\left(e\right)={58}^{\circ }\\ D=i+e-A\\ 50=28+58-A\\ A={46}^{\circ }\\ \text{So option}B\text{is correct}\end{array}$