Answer :
Answer:
θ = 2 10⁻⁴ rad
Explanation:
The resolution of two nearby light sources is determined by the diffraction phenomenon and several criteria have been established, one of the most used is the Rayleigh criterion, that the image is resolved when the maximum of a diffraction pattern coincides with the first minimum of the other diffraction pattern
The equation that describes diffraction is
a sin θ = m λ m = ±1, ±2, ...
According to Rayleigh's criteria the first minimum occurs for m = 1, in addition to the diffraction measures the angles are very small, so we approximate the sin θ≅ θ
θ = lam / a
This expression linear slits, in the case of circular openings, we must use polar coordinates for the resolution of the system, in these coordinates a numerical factor is introduced and the equation is
θ = 1.22 λ / D
D is the diameter of the circular opening
Let's apply this last equation to our case.
θ = 1.22 550 10⁻⁹ / 3.05 10⁻³
θ = 220 10⁻⁶ rad
θ = 2 10⁻⁴ rad