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A hunter who is a bit of a braggart claims that, from a distanceof 1.6 km, he ca

ID: 1745106 • Letter: A

Question

A hunter who is a bit of a braggart claims that, from a distanceof 1.6 km, he can selectively shoot eiither of two squirrels whoare sitting 11 centimeters apart on the same branch of a tree.What's more, he claims that he can do this without the aid of atelescopic sight on his rifle. Determine the diameter of the pupilsof his eyes that would be required for him to be able to resolvethe squirrels as separate objects. In this calculation use awavelength of 498 nm (in vacuum) for the light.

Number

Units

Number

Units

m

Explanation / Answer

from rayleigh criterion we have min = 1.22/D    we also have    min = s/h thus s/h = 1.22/D    or    D = 1.22h/s   here = 498*10-9m     s = 0.07m    h = 1.8*103m calculate for D
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