Answer:
The distance of separation is [tex]d = 9.04 *10^{-6 } \ m[/tex]
Explanation:
From the question we are told that
The wavelength is [tex]\lambda = 633\ nm = 633 *10^{-9} \ m[/tex]
The distance of the screen is [tex]D = 5.0 \ m[/tex]
The distance between the fringes is [tex]y = 35 \ cm = 0.35 \ m[/tex]
Generally the distance between the fringes is mathematically represented as
[tex]y = \frac{ \lambda * D }{d }[/tex]
Here d is the distance of separation between the slit
=> [tex]d = \frac{ \lambda * D }{y }[/tex]
=> [tex]d = \frac{ 633 *10^{-9} * 5 }{ 0.35 }[/tex]
=> [tex]d = 9.04 *10^{-6 } \ m[/tex]
