Question 392: Wave Optics

Question

The intensity of transmitted light when a polaroid sheet, placed between two crossed polaroids at $22.5^{\circ}$ from the polarization axis of one of the polaroids, is ( $I 0_0$ is the intensity of polarised light after passing through the first polaroid):

Accepted Answer

$$\begin{aligned}
& I_1=I_0 \cos ^2\left(\frac{45}{2}ight) \
& I_2=I_1 \cos ^2\left(90-\frac{45}{2}ight) \
& =I_0 \cos ^2\left(\frac{45}{2}ight) \sin ^2\left(\frac{45}{2}ight) \
& =\frac{I_0}{4}\left(4 \cos ^2\left(\frac{45}{2}ight) \sin ^2\left(\frac{45}{2}ight)ight) \
& =\frac{I_0}{4} \sin ^2 45^{\circ}=\frac{I_0}{8}
\end{aligned}$$

Answer

$\frac{I_0}{8}$

Answer

$\frac{I_0}{16}$

Answer

$\frac{I_0}{2}$

Answer

$\frac{I_0}{4}$

Wave Optics

The intensity of transmitted light when a polaroid sheet, placed between two crossed polaroids at 22.5^{\circ} from the polarization axis of one of the polaroids, is ( I 0_0 is the intensity of polarised light after passing through the first polaroid):

Choose the correct answer: