Class Management I Help Homework 9 Begin Date: 4/2/2017 3:00:00 PM Due Date: 4/1

Question

Class Management I Help Homework 9 Begin Date: 4/2/2017 3:00:00 PM Due Date: 4/10/2017 11:59:00 PM End Date: 4/10/2017 11:59:00 PM (8%) Problem 11: During the Battle of Bunker Hill, it is commonly thought that the commanders gave the order "Don't shoot until you see the whites of their eyes!" to make sure the British troops were close enough that a hit was a certainty Randomized Variables 3.3 cm D 5.5 mm If take your commanders instructions literally and don't fire until the whites of the enemy's eyes are just resolvable by your pupil, how far away (in meters) are they when you open fire? Assume your target has an eye which is 3.3 cm across, the diameter of your pupil is 5.5 mm, and you are observing at a wavelength of 555 nm. Grade Summary d 0.0000040 63 Deductions Potential 100% sino cos0 tan0 7 8 9 HOME Submissions Attempts remaining: 13 4 5 6 cotano asin0 acos0 0% per attempt) detailed view atan0 acotan0 sinh0 cosh0 tanh0 cotanh0 0 BACKSPACE DEL CLEAR Degrees Radians Submit Hints deduction per hint. Hints remaining 3 Feedback 5% deduction per feedback. Submission History Answer Hints Feedback Totals d 253.436 d 253.4 d -0.000004063 d 4.063 E-6 096 Totals

Explanation / Answer

assume this is like single slit diffraction

for constructive interference

s*sintheta = (m+1/2)*lambda

tan theta = D/d

theta is small = tan theta = sin theta

for m = 0

s*D/d = lambda/2

d = 2*s*D/lanbda

d = 654.05 m

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