An unpolarized light passes through three polarizing sheets whose polarizing directions make an angle of 30°, 60° and 30° with y axis in same sense. The fraction of initial intensity is transmitted by the system is (k/32). Find k.

Question

An unpolarized light passes through three polarizing sheets whose polarizing directions make an angle of 30°, 60° and 30° with y axis in same sense. The fraction of initial intensity is transmitted by the system is (k/32). Find k. (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

I =(I0/2) × cos 2 30° × cos 2 30° =(9 I0/32)

Q. An unpolarized light passes through three polarizing sheets whose polarizing directions make an angle of $3 0^{\circ}$ , $6 0^{\circ}$ and $3 0^{\circ}$ with $y$ axis in same sense. The fraction of initial intensity is transmitted by the system is $\frac{k}{32}$ . Find $k$ .

$I = \frac{I _{0}}{2} \times cos^{2} 3 0^{\circ} \times cos^{2} 3 0^{\circ}$
$= \frac{9 I _{0}}{32}$

Q. An unpolarized light passes through three polarizing sheets whose polarizing directions make an angle of 30∘, 60∘ and 30∘ with y axis in same sense. The fraction of initial intensity is transmitted by the system is 32k​. Find k.

I=2I0​​×cos230∘×cos230∘ =329I0​​

Q. An unpolarized light passes through three polarizing sheets whose polarizing directions make an angle of $3 0^{\circ}$ , $6 0^{\circ}$ and $3 0^{\circ}$ with $y$ axis in same sense. The fraction of initial intensity is transmitted by the system is $\frac{k}{32}$ . Find $k$ .

$I = \frac{I _{0}}{2} \times cos^{2} 3 0^{\circ} \times cos^{2} 3 0^{\circ}$
$= \frac{9 I _{0}}{32}$