You stand on a straight desert road at night and observe a vehicle approaching. This vehicle is equipped with two small headlights that are 0.683 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 557 nm and your pupil diameter to be 5.39 mm.
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Ответ:
Explanation:
The problem is based on the resolving power of the eye . For it the formula is as follows :
Resolving power = 1.22 λ / D , λ is wavelength of light and D is diameter of the eye.
Putting the given values
R.P = 1.22 x 557 x 10⁻⁹ / 5.39 x 10⁻³
= 126.074 x 10⁻⁶ radian
This is the minimum angular separation that can be resolved .
minimum linear separation that can be resolved = distance x angular separation that can be resolved
.683 = distance x 126.074 x 10⁻⁶
distance = .683 / 126.074 x 10⁻⁶
= 5417.5 m
= 5.417 km
Ответ:
hope that will help you