The spectrum below was collected with an FTIR using a liquid nitrogen cooled HgCdTe$(MCT)$ detector

based on $25$ scans. Which of the followings are correct for the marked peak $(**).$

$($A$)$ The noise level is $3\mathrm{.}54{10}^{-4}$

$($B$)\frac{S}{N}$ ratio for the peak is $113$

$($C$)2500$ measurements are needed to improve the $\frac{S}{N}$ ratio by a

factor of $10.$

$($D$)\frac{S}{N}$ can be highly improved if liquid nitrogen is not added for

the detector

$($E$)$ Water interference is not an issue within this observation window