You stand on a straight desert road at night and observe a vehicle approaching. this vehicle is equipped with two small headlights that are 0.657 m apart. at what distance, in kilometers, are you marginally able to discern that there are two headlights rather than a single light source? take the wavelength of the light to be 549 nm and your pupil diameter as 4.63 mm.

4.54168 km

Explanation:

Angular resolution is given by

where,

= Wavelength = 549 nm

D = Diameter of pupil = 4.63 mm

but for small angle

where

d = Distance between the lights = 0.657 m

The distance at which you will be able to marginally discern that there are two headlights rather than a single light source is 4.54168 km

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