Cuesta College, San Luis Obispo, CA
Cf. Giambattista/Richardson/Richardson, Physics, 2/e, Problem 25.47
Shown at right is a scaled diagram[*] of the diffraction pattern of hair illuminated by a 610 nm wavelength laser. The screen is 4.40 m from the hair. Find the width of the hair. Show your work and explain your reasoning using trigonometry and the properties of diffraction.
[*] en.wikipedia.org/wiki/File:Diffraction1.png.
Solution and grading rubric:
- p:
Correct. - r:
Nearly correct, but includes minor math errors. May have used angle of first maxima instead of first minima in W·sinθ = (1)·λ. - t:
Nearly correct, but approach has conceptual errors, and/or major/compounded math errors. - v:
Implementation of right ideas, but in an inconsistent, incomplete, or unorganized manner. - x:
Implementation of ideas, but credit given for effort rather than merit. - y:
Irrelevant discussion/effectively blank. - z:
Blank.
Grading distribution
Section 70856
Exam code: finalv0L7
p: 4 students
r: 2 students
t: 3 students
v: 0 students
x: 0 students
y: 0 students
z: 1 student
A sample "p" response (from student 0057) with a minor cm to m transcription error for the hair-to-screen distance:
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