Answer:
[tex]m = 180 \ bright \ fringes[/tex]
Explanation:
From the question we are told that
The wavelength is [tex]\lambda = 510 \ nm = 510 *10^{-9} \ m[/tex]
The length of the of the plate is [tex]l = 24.3 \ cm = 0.243 \ m[/tex]
The radius of the wire is [tex]r= 0.023 \ mm = 2.3 *10^{-5} \ m[/tex]
Generally the diameter of the wire which is the distance between the glass plates is mathematically represented as
[tex]d = 2 * r[/tex]
=> [tex]d = 2 * 2.3 *10^{-5}[/tex]
=> [tex]d = 4.6 *10^{-5} \ m[/tex]
Generally the condition for constructive interference is mathematically represented as
[tex]2 *d = m \lambda[/tex]
=> [tex]m = \frac{2d}{\lambda}[/tex]
=> [tex]m = \frac{2 * (4.6* 10^{-5})}{ 510 *10^{-9} }[/tex]
=> [tex]m = 180 \ bright \ fringes[/tex]
