Q. The intensity of transmitted light when a polaroid sheet, placed between two crossed polarization at $22.5^\circ$ from the polarization axis of one of the polaroid, is ($I_0$ is the intensity or polarised light after passing through the first polaroid):
A) $\frac{I_0}{2}$
B) $\frac{I_0}{4}$
C) $\frac{I_0}{8}$
D) $\frac{I_0}{16}$
Explanation
[Solution by Claude - not from source] $I=I_0\cos^2(22.5^\circ)\cos^2(67.5^\circ)=I_0(\sin22.5^\circ\cos22.5^\circ)^2=I_0\left(\frac{\sin45^\circ}{2}\right)^2=\frac{I_0}{8}$. Answer (3).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.