The characters of a stadium scoreboard are formed with closely spaced lightbulbs that radiate primarily yellow light of wavelength m. Determine how closely the bulbs must be spaced so that an observer 80.0 m away sees a display of continuous lines rather than the individual bulbs. Use a value of 5.0 mm for the pupil diameter of the observer’s eye.
Two lamps producing light of wavelength 590 nm are fixed 2.00 m apart on a wooden plank. What is the maximum distance an observer can be from the lamps and still resolve them as two separate sources of light if the resolution is affected solely by the diffraction of light entering the eye? Assume light enters the eye through a pupil of diameter 3.60 mm.
Find how far apart two objects on the Moon must be to be distinguishable by eye if only the diffraction effects of the eye’s pupil limit the resolution. Use a value of 500 nm for the wavelength of light, a value of 4.6 mm for the pupil diameter, and a value of km for the distance to the Moon.