$.$An interference$/$diffraction pattern is produced by a two slit system where the slits are $50\mathrm{.}0$

m wide, the slit separation is $0\mathrm{.}200$ mm$,$ and the wavelength is $550$ nm$.$

$($a$)$ How many $($complete$,$ maxima$)$ fringes are inside the central maximum? $(4$ points$)$

$($b$)$ What is the ratio of the intensity of the second order $($m$=2)$ fringe to the intensity of

the central fringe? $(4$ points