Monochromatic light passes through 2 narrow slits and forms an interference patt

Question

Monochromatic light passes through 2 narrow slits and forms an interference pattern on a screen. (a) if the wavelength of light used increases, will the distance between the maxima (1) increase, (2) remain the same, (3) or decrease? Explain. (b) if the slit separation is 0.25mm, the screen is 1.5m away from the slits, and light of wavelength 550nm is used, what is the distance from the center of the central maximum to the center of the third order maximum? (c) what if the wavelength is 680nm? [ANSWERS: (a) increase, (b) 0.99cm, (c) 1.2cm] I need someone to show me how to work this problem. THanks!!

Explanation / Answer

monochromatic light passes through two narrow slits .25mm apart and forms an interference pattern on a screen 1.5m away. If light of wavelength 680 nm is used what is the distance from center of the central maxium to the center of the thrid order bright fringe?


The formula to apply for bright fringes in a double slit isy = Lm/dy = (680 X 10-9)(1.5)(3)/(2.5 X 10-4)y = .0122 m which is 1.22 cm

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