Answer:
[tex]w=4*10^{-3}m\\or\\w=4mm[/tex]
Explanation:
A single slit of width x has bright central maximum of width:
ω=(2λL)/x
Given data
x=0.50 mm
λ(wavelength)=500 nm
L(length)=2.0 m
Substitute the given values to find width w
So
[tex]w=\frac{2*(500*10^{-9}m )(2.0m)}{(0.5*10^{-3})}\\w=4*10^{-3}m\\or\\w=4mm[/tex]