Final answer:
The maximum distance at which the eye can resolve two points can be estimated using Raleigh's criterion, which relates the angle of resolution to the wavelength of light and the diameter of the pupil. An exact distance cannot be provided without specific measurements from an experiment.
Step-by-step explanation:
The question is asking for the maximum distance at which two point white dots, which are 2 mm apart on a black paper, can be resolved by an eye with a pupil diameter of 3 mm. This problem relates to Raleigh's criterion for resolution, which is a concept in Physics involving diffraction limits.
To find the maximum resolution distance of the eye for these dots, we can apply Raleigh's criterion using the formula θ = 1.22 λ / D, where θ is the angle of resolution, λ is the average wavelength of visible light (assumed to be 550 nm here), and D is the pupil diameter of the eye. However, without the actual figures of the angle or the distance, it is not possible to provide an exact maximum distance for resolution.
In practice, experiments can be conducted to estimate this value. For example, one can draw two lines a few millimeters apart and find the maximum distance from which they can still distinguish the lines as separate. This experiment gives a practical appreciation of the eye's resolving power and relates to everyday experiences with vision acuity.