Question

If the angle between the pass axis of the polarizer and the analyzer is 45, the ratio of the intensities of original light and the transmitted light after passing through the analyzer is

• A. $\frac{I}{2}$
• B. $\frac{I}{3}$
• C. I
• D. $\frac{I}{4}$

Answer 1

Answer: (D)

$\frac{I}{4}$

The intensity of the light after passing through the polariser
$I=I_{0}co{s}^2\varphi =I_{0}co{s}^{2}45$
$=I_0{\left(\frac{I}{\sqrt{2}}\right)}^2=\frac{I}{2}\times \frac{I}{2}=\frac{I}{4}(\because I_0=\frac{I}{2})$