Question

The curve of angle of incidence versus angle of deviation shown below 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

The correct option is A

$\sqrt{3}$

${\delta }_M=2i-A$

$60=2\left(60\right)-A$

$A={60}^{\circ }$

$n=\frac{sin\left(\frac{A+{\delta }_M}{2}\right)}{sin\frac{A}{2}}$

$=\frac{sin{60}^{\circ }}{sin{30}^{\circ }}=\sqrt{3}$