Question

1. Laser beam with wavelength 632.8 nm is aimed perpendicularly at opaque screen with two identical slits on it, positioned horizontally, and close enough so that both of them fall in the beam cross section. By shifting vertically the screen, each slits can be illuminated independently, allowing the other to be disregarded. On an observation screen positioned 1m further from the opaque screen, the diffraction patterns from the independent slit illumination were found identical, with minima 6.5 mm apart. The interference pattern maxima from simultaneous illumination of both slits were 0.53 mm apart. What are the double slit characteristics (slit width, slit separation)

Answer 1

Check the explanation

Step-by-step explanation:

First, to find the slit width

y/L = m(wavelength)/a

(.0065)/1 = 1(632.8 X 10-9)

a = 9.74 X 10-5 m that is .0974 mm

For the slit separation

y/L = m(wavelength)/d

(5.3 X 10-4)/1 = 1(632.8 X 10-9)/d

d = 1.19 X 10-3 m which is 1.19 mm