$[-/1$ Points$]$

SERPSE$1037\mathrm{.}2\mathrm{.}0$P$\mathrm{.}001.$MI$.$

Light of wavelength $588\mathrm{.}0$ nm illuminates a slit of width $0\mathrm{.}66$ mm $.$

$($a$)$ At what distance from the slit should a screen be placed if the first minimum in the diffraction pattern is to be $0\mathrm{.}89$ mm from the central maximum?

m

$($b$)$ Calculate the width of the central maximum.

mm

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