Answer:
The value is [tex]y = 0.267 \ m[/tex]
Explanation:
From the question we are told that
The wavelength is [tex]\lambda = 650 \ nm = 650 *10^{-9} \ m[/tex]
The distance of separation between the two slit is [tex]d = 28000nm = 28000 *10^{-9} \ m[/tex]
The distance between the slit and the screen is [tex]D = 2.30 \ m[/tex]
Generally the path difference is mathematically represented as
[tex]y = \frac{ m * D * \lambda }{d}[/tex]
Here m is the order of the fringe and the value is m = 5
So
[tex]y = \frac{ 5 * 2.30 * 650 *10^{-9} }{ 28000 *10^{-9}}[/tex]
=> [tex]y = 0.267 \ m[/tex]
