CHEM 154 001-WintedWileyPLUS nment NEXT A hunter who is a bit of a braggart clai

Question

CHEM 154 001-WintedWileyPLUS nment NEXT 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 who are sitting 8.0 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 squirrels as separate objects. In this calculation use a wavelength of 498 nm (in vacuum) for the light. (b) State whether his and provide a reason for your answer. In consider that the human eye automatically claim is 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. (a) Number Units (b) The hunter's claim[ the tolerance is +/-396 Click if you would like to Show Work for this question: Open Show Work Question Attempts: 0 of 5 used SAVE FOR LATER SUBMIT ANSWER ed by eNet

Explanation / Answer

Given

the squirrels are separated by 8 cm and the distance from hunter to the branch is 1.6 km

we know that

resolving power is  

theta = 1.22*lambda/D

s/R = 1.22*lambda/D

0.08/1600 = 1.22*498*10^-9/D

solving for D , D = 0.0121512 m

D = 1.21512 cm

b)

the diameter of the pupil we got is 12.1512 mm

but the typical range of human eye pupil is 2 to 8 mm , here

the hunters claim is not reasonable , we are far beyond the pupil's diameter

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