Part 1) Babinet's principle states that the diffraction pattern of an opaque (does not allow light to pass through) body is identical to that of an aperture of the same size (with the exception of the intensity of the central maximum). We can use this principle to determine the diffraction pattern obtained by shining a laser of A = 595 + 5 nm onto a steel wire of width w = 0.513± 0.001 mm, i.e. making the wire block a width w = 0.513 of the laser light. Calculate the angle e in radians of the m = 3 diffraction minimum when viewed on a screen at distance D = 6.74± 0.01 m? rad

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Part 1)
Babinet's principle states that the diffraction pattern of an opaque (does not allow light to pass through) body is identical to that of an aperture of the same size (with the exception of the intensity of the central maximum).
We can use this principle to determine the diffraction pattern obtained by shining a laser of A = 595 ± 5 nm onto a steel wire of width w = 0.513 ± 0.001 mm, i.e. making the wire block a width w = 0.513 of the laser light.
Calculate the angle 0 in radians of the m = 3 diffraction minimum when viewed on a screen at distance D = 6.74 ± 0.01 m?
rad
Part 2)
What is the width æ of the central maximum on the screen at this distance?
m
Part 3)
What is the uncertainty in your measurement for part 2).
Ax =
m
(Hint: when multiplying or dividing uncertainties Aa
(4 + A + ...) for dependent uncertainties, and Aa
(4b)2 + (As)2 +... for independent uncertainties. And remember to think about an appropriate number of significant
%3D
figures!)
Transcribed Image Text:Question Part 1) Babinet's principle states that the diffraction pattern of an opaque (does not allow light to pass through) body is identical to that of an aperture of the same size (with the exception of the intensity of the central maximum). We can use this principle to determine the diffraction pattern obtained by shining a laser of A = 595 ± 5 nm onto a steel wire of width w = 0.513 ± 0.001 mm, i.e. making the wire block a width w = 0.513 of the laser light. Calculate the angle 0 in radians of the m = 3 diffraction minimum when viewed on a screen at distance D = 6.74 ± 0.01 m? rad Part 2) What is the width æ of the central maximum on the screen at this distance? m Part 3) What is the uncertainty in your measurement for part 2). Ax = m (Hint: when multiplying or dividing uncertainties Aa (4 + A + ...) for dependent uncertainties, and Aa (4b)2 + (As)2 +... for independent uncertainties. And remember to think about an appropriate number of significant %3D figures!)
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