Laser light sent through a double slit produces an interference pattern on a scr

Question

Laser light sent through a double slit produces an interference pattern on a screen 2.00 m from the slits. If the eighth-order maximum occurs at an angle of 63.4 degree, at what angle docs the third-order maximum occur? A soap bubble (n = 1.35) is floating in air. If the thickness of the bubble wall is 328 nm, which of the following wavelengths of visible light is strongly reflected? A puddle of water (n = 1.33) is covered with a very thin layer of oil (n = 1.20). How thick is the oil in the region that strongly reflects light with a wavelength of 570 nm?

Explanation / Answer

for 8th maxima, y = 8B where B = fringe width,

tan63.4 = 8B/2 = 4B

=> B = (tan(63.4))/4

now angle for 3rd maxima = tan-1(3B/2) = tan-1(3(tan(63.4))/4)/2) = tan-1(3tan(63.4)/8) = 36.828 degree.

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