A diffraction grating is made of $1,500$ slits across a distance of $3$ mm$.$ A red laser with

wavelength $630$ nm strikes the grating. A screen is placed a distance of $0\mathrm{.}5$ m from the

grating.

$($a$)$ How many bright fringes will be visible?

$($b$)$ How tall must the screen be in order to collect all the bright fringes?

$1$