Eye is most sensitive to 5500 and the diameter of the pupil is about 2 mm. Find the angular limit of resolution of eye.
Answers
Answer:
Explanation:
The eye pupil diameter changes during day and night, whereas the day the pupil size is between 3 mm to 4 mm and at night it is from 5 mm to 9 mm. In addition, the optimal sensitivity of the human eye is approximately 0.55 μm (V-band). So according to Rayleigh's Criterion, we can calculate the spatial resolution of human eye. Lets say that at day time the pupil size is 3 mm and the optimal sensitivity is 0.55 μm, we can apply the rule.
Θ = 1.22(λ/D)rad
=1.22(0.55 μm/3 mm)rad(180 deg/π rad)(1 mm/103 μm)
= 0.0128 deg(3600”/1 deg)
= 50” (day)
Moreover, at night the pupil diameter increases to 9 mm to increase the observation, we can do the same calculation to find the angular resolution of the eye at night.
In the other hand, we have the Refracting telescope which is used for observing the solar system has a higher spatial resolution. Refracting telescope has a 40 inch diameter lens which is the largest one and a normal one has a 60 mm diameter lens.So it has best image quality with higher angular resolution.