Answer:
d = 3.56 x 10⁻⁴ m = 0.356 mm
Explanation:
The diameter of the aperture can be found using the following formula:
[tex]y = \frac{\lambda L}{d}\\\\d = \frac{\lambda L}{y}[/tex]
where,
y = distance between dark rings = 1.65 mm = 1.65 x 10⁻³ m
λ = wavelength = 490 nm = 4.9 x 10⁻⁷ m
L = distance between screen and aperture = 1.2 m
d = diameter of aperture = ?
Therefore,
[tex]d = \frac{(4.9\ x\ 10^{-7}\ m)(1.2\ m)}{1.65\ x\ 10^{-3}\ m}[/tex]
d = 3.56 x 10⁻⁴ m = 0.356 mm