\"Jack and Jill are sitting under an old wooden bridge one nightwhile a street l
ID: 1752325 • Letter: #
Question
"Jack and Jill are sitting under an old wooden bridge one nightwhile a street lamp with a wavelength of 610 nm shines through twosmall cracks in a board. They notice fringes of light on the ground4.9 mm apart. If the board is 2.35 meters above the ground, what isthe distance (in mm) between the cracks?"I cant figure out which formula to useso I cant even approach the question. Just looking for theappropriate formula.
I cant figure out which formula to useso I cant even approach the question. Just looking for theappropriate formula.
Explanation / Answer
This is an application of the 2 slit interference formula. ym = location of the mth fringe on the screen= mR/d where m=0 is the central fringe, R = distance of screen from slits,d = slit separation, and we assume small angles (i.e., R >>d). fringe separation = y1 - y0 = R/d =(2.35)(610 x 10 -9)/d = .0049 from this you can find the slit separation d. hope this helps!
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