Answer:
83.55 μm
Explanation:
In a single slit experiment, the distance (on the screen), y, between the central maximum and the minimum of order, m, is given as:
y = [tex]\frac{md}{a}[/tex] * λ
where λ = wavelength
a = width of slit
d = distance between slit and screen
To get the width of the slit, we make a the subject of formula:
a = (mλd)/y
[tex]a = \frac{2 * 618 * 10^{-9} * 84.5*10^{-2}}{1.25 * 10^{-2}}[/tex]
(All units of length are in meters)
[tex]a = 8.355 * 10^{-5} m\\\\\\a = 83.55 * 10^{-6} m[/tex]
a = 83.55 μm