<p>Two lasers are shining on a double slit, with slit separation <em>d</em>. Las

Question

<p>Two lasers are shining on a double slit, with slit separation <em>d</em>. Laser 1 has a wavelength of <em>d/20</em>, whereas laser 2 has a wavelength of <em>d/15</em>. The lasers produce separate interference patterns on a screen a distance 5.30 m away from the slits.</p>
<div class="partText">What is the distance <img title="Deltay_max-max" src="http://session.masteringphysics.com/render?var=Deltay_max-max" alt="Deltay_max-max" align="middle" /> between the first maxima (on the same side of the central maximum) of the two patterns? Express your answer in meters</div>

Explanation / Answer

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Slit separation d = d
wavelength  = d / 20
wavelength  ' = d / 15
distance  of the screen from slits D = 5.3 m
for first maximum d sin  = 
sin  = 1/ 20
 = 2.865
we know tan  = y / D
y = D tan = 0.05004 D
similarly for wavelength  ' :
first maximum d sin ' =  '
sin  ' = 1/ 15
 ' = 3.8225
tan  '= y ' / D
y ' = 0.06681 D
Required distanced = y ' - y = 0.01677 D
=0.0889 m

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