A $550$nm light source illuminates a pair of slits with a $2\mathrm{.}0$m$2\mathrm{.}0$m slit width and a $14$mm slit separation. The pattern is displayed on a screen, and the intensity at the center of the pattern is $1\mathrm{.}0$mW$/$cm$21\mathrm{.}0$mW$/$cm$2.$ Part $($a$)$

How many double$-$slit interference fringes are present in the central maximum of the diffraction pattern? Part $($b$)$

What is the intensity, in milliwatts per square centimeter, of the double$-$slit interference maximum next to the center maximum?

$$ Part $($c$)$

What is the intensity, in milliwatts per square centimeter, of the third double$-$slit interference maximum from the center maximum?