Question

The curve of angle of Incidence versus angle of deviation shown has been plotted for prism. The value of refractive index of the prism used is :

• A. $\sqrt{3}$
• B. $\sqrt{2}$
• C. $\frac{\sqrt{3}}{\sqrt{2}}$
• D. $\frac{2}{\sqrt{3}}$

Answer 1

Answer: (A)

$\sqrt{3}$

$\begin{array}{c}2i-A={\delta }_{min}\\ \Rightarrow 2\times 60-A=60\\ \Rightarrow A=60\\ \eta =\frac{\sin \left({\delta }_{min}+A\right)}{\sin \left(\frac{A}{2}\right)}\\ =\frac{\sin {60}^0}{\sin {30}^0}=\sqrt{3}\\ Hence,\\ optionAiscorrectanswer.\end{array}$