$[-/2\mathrm{.}5$ Points$]$

A beam of vertically polarized light encounters two polarizing filters, as shown below.

$$

$($a$)$ List the three cases, $A,B,$ and $C,$ in order of transmitted intensity, beginning with the smallest. If there is a tie between any of the cases, indicate which ones.

$($a$)<mtext></mtext><mi>(</mi>$b$)<mtext></mtext><mi>(</mi>$c$)$

$($b$)<mtext></mtext><mi>(</mi>$c$)<mtext></mtext><mi>(</mi>$a$)$

$($c$)<mtext></mtext><mi>(</mi>$a$)<mtext></mtext><mi>(</mi>$b$)$

$($a$)$ is the smallest; $($b$)$ and $($c$)$ tie

$($b$)$ is the smallest; $($a$)$ and $($c$)$ tie

$($c$)$ is the smallest; $($a$)$ and $($b$)$ tie

$($b$)$ Calculate the transmitted intensity for each case, assuming that the incident intensity is $61\mathrm{.}0\frac{W}{m^2}.$

case $A$

$\frac{w}{m^2}$

case B

$\frac{W}{m^2}$

case $C$

$\frac{w}{m^2}$