Question

The refractive indices of glass and water are 1.54 and 1.33 respectively. What is the polarising angle for a beam of light going from water to glass?

• A. ${35}^0$
• B. ${40}^0$
• C. ${49}^0{5}^{\prime }$
• D. ${59}^0{4}^{\prime }$

Answer 1

The correct option is C ${49}^0{5}^{\prime }$

$\begin{array}{cc}& {\mu }_{\text{glass}}=1.54{\theta }_p=\text{brewester angle}\\ & \begin{array}{cc}{\mu }_{\text{air}}=& 1.33\\ \tan \left({\theta }_p\right)& =\frac{{\mu }_{\text{glass}}}{{\mu }_{\text{air}}}\\ \tan {\theta }_p& =\frac{1.54}{1.33}\\ & ={49}^{\circ }{5}^{\prime }\end{array}\end{array}$