10. /2 points I Previous Answers KatzPSEf1 35.P.055 My Notes Ask Your Teacher Fo

Question

10. /2 points I Previous Answers KatzPSEf1 35.P.055 My Notes Ask Your Teacher For the following questions, assume the noncentral maxima in a single-slit diffraction pattern are exactly halfway between the minima immediately adjacent to them. What percentage of the central maximum's intensity is the following? (a) the fourth-order maximum's intensity Your re5ponse differs from the correct answer by more than 100% (b) the seventh-order maximum's intensity Need Help?d Submit Answer Save Progress Practice Another Version

Explanation / Answer

from fraunhauffer diffraction equation
I = Io (sin(d*pi*sin(theta)/lambda))/(d*pi*sin(theta)/lambda))^2
also, sin(theta) = (2n-1)*lambda/2d
hence
I = Io (sin(pi*(2n-1)/2)/(pi*(2n-1)/2)^2

hence for n = 4
I/Io = 0.00827117
% = I*100/Io = 0.8271117 %

for 7th order, similiarly
I/Io % = 0.239813 %

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.