AYoung’s double slit apparatus has the slit separation of0.12mm and the distance

Question

AYoung’s double slit apparatus has the slit separation of0.12mm and the distance between the slits and the viewing screen is55 cm. A) If monochromatic light of wavelength = 550x10-9m passes through the slits, calculate the distance between thecentral (bright) fringe and the adjacent bright fringe.

B) Now imagine that you are using X-rays, =1x10–9 minstead of visible light in this experiment. What would the slitseparation need to be in order to have the distance between thesefirst two bright fringes be 1cm?

Explanation / Answer

slit separation d = 0.12mm= 12* 10 ^ -5 m
the distance between the slits and the viewing screen D = 55 cm. A) wavelength = 550x10-9 m the distance between the central (bright) fringe and theadjacent bright fringe = D / d                                                                                                                    = 0.252 m (B). wavelength =1x10–9 m the distance between these first two brightfringes  y = 1cm = 0.01 m we know y = D / d from this required seration d= D / y                                            = 5.5* 10^-6 m

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