(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A hunter who is a bit of a braggart claims that, from a distance of 1.6 km, he can selectively shoot either of two squirrels whoare sitting ten centimeters apart on the same branch of a tree. What's more, he claims that he can do this without the aid of a telescopic sight on his rifle. (a) Determine the diameter of the pupils of his eyes that would be required for him to be able to resolve the squrrels a separate objects. In this calculation, use a wavelength of 498 nm (in vacuum) for the light. (b) State whether his claim is reasonable and provide a reason for your answer. In evaluating his claim, consider that the human eye automatically adjusts the diameter of its pupil over a typical range of 2 to 8 mm, the larger values coming into play as the lighting becomes darker. note also that under dark conditions, the eye is most sensitive to a wavelength of 498 nm.

2. Relevant equations

minimum angle = 1.22(wavelength/diameter)

For the above equation, the minimum angle is in radians.

3. The attempt at a solution

I first tried to solve this by using the equation above. However, I ended up getting 2 unknowns, as demonstrated here:

angle=1.22(498 nm/diameter)

I need to find the angle and the diameter. I tried to use a right triangle diagram with 160000 cm as a leg and 10 cm as the other leg of the triange and used the tangent ratio to get the angle. However, this resulted in a very large diameter, so there's something I'm dong wrong here.

(This problem has to do with diffraction and Young's Double-Slit experiment.)

Any help would be appreciated at where I went wrong. This forum has been very helpful to me so far.

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# Homework Help: Hunter/Resolvign Power Problem

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