A set of parallel slits for optical interference can be made by holding two razo

Question

A set of parallel slits for optical interference can be made by holding two razor blades together (carefully!) and scratching a pair of lines on a glass microscope slide that has been painted black. When monochromatic light strikes these slits at normal incidence, an interference pattern is formed on a distant screen. The thickness of each razor blade used to make the slits is 0.230 mm , and the screen is 2.60 m from the slits.

Part A

If the center-to-center separation of the fringes is 7.15 mm , what is the wavelength of the light?

Explanation / Answer

here,

slit seperation, d = 0.230 mm = 0.23*10^-3 m

screen width, Y = 7.15*10^-3 m

distance to screen, D = 2.60 m

From double slit experiment

Y = m*w*D/d

rewriting for wavelength, w = Y*d/(m*D)

rewriting for wavelength, w = (7.15*10^-3)*(0.23*10^-3)/(1*2.60)

rewriting for wavelength, w = 6.325*10^-7 m

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