Approximately 82 bright fringes appear along the total length of the plates.
To determine the number of bright fringes that appear along the total length of the plates, we can use the formula:
n = (2L + λ)/(λ * d)
Where:
n is the number of fringes
L is the length of the plates
λ is the wavelength of the light
d is the separation between the plates
Plugging in the given values:
L = 23.9 cm = 0.239 m
λ = 588 nm = 588 x 10^-9 m
d = 0.03 mm = 0.03 x 10^-3 m
Substituting these values into the formula:
n = (2 * 0.239 + 588 x 10^-9)/(588 x 10^-9 * 0.03 x 10^-3)
Simplifying further, we get:
n = 81.703
Therefore, approximately 82 bright fringes appear along the total length of the plates.