Question

Can I get some help with this problem please?

HW 6 Ch 32-33 Problem 32.37 8 of 30 PartA Constants Periodic Table A screen 0.90 m wide is located 1.8 m from a pair of slits illuminated by 640 nm laser light, with its center on the centerline of the slits Find the highest-order bright fringe that will appear on the screen if the slit spacing is 0.10 mm ??? mi 39 Submit Previous Answers Request Answer Incorrect Try Again; 4 attempts remaining Part B Find the highest-order bright fringe that will appear on the screen if the slit spacing is 16 pam 1n2

Answer 1

D = 1.8 m, lambda = 640 nm = 6.4 times 10^-7 m (a) d = 0.1 mm = 1 times 10^-4 m tan theta = 0.45/1.8 = 1/4 sin theta = 0.45/1.8 = 1/4 sin theta = 1/squareroot 17 Now, for highest order m = d sin theta/lambda m = 10^-4/6.4 times 10^-7 times 1/squareroot 17 Therefore m = 37.89 So, highest order = 37 (b) when d = 16 mu m, y = 0.45 m m = y d/lambda d = 0.45 times 10^-6 times 10^-6 times 16/6.4 times 10^-7 times 1.8 \r\n m = 6.25 Therefore Highest order = 6.