Answer:
The appropriate solution is "0.597 mm".
Explanation:
Given that:
Wavelength,
[tex]\lambda = 519 \ nm[/tex]
or,
[tex]=519\times 10^{-9}[/tex]
Distance,
[tex]D=4.6 \ m[/tex]
Separated by,
[tex]\beta = 4.0 \ mm[/tex]
or,
[tex]=4.0\times 10^{-3}[/tex]
As we know,
⇒ [tex]\beta=\frac{\lambda D}{d}[/tex]
or,
The separation of two slits will be:
⇒ [tex]d=\frac{\lambda D}{\beta}[/tex]
By putting the values, we get
[tex]=\frac{(519\times 10^{-9})(4.6)}{4.0\times 10^{-3}}[/tex]
[tex]=5.97\times 10^{-4}[/tex]
or,
[tex]=0.597 \ mm[/tex]
