Answer:
y=5.908 mm
Explanation:
Given data
wavelength (Ī»)= 633nm
d(distant source is incident on a slit)=0.750mm
D(diffraction pattern is observed on a screen)=3.50 m
To find
y(What is the distance between the two dark fringes on either side)=?
Solution
For a dark fringe to form
dy/D=Ī»
so
y=(DĪ»)/d...................eq(1)
Put values of D,Ī» and d in eq(1) we get
y={3.50Ć(633Ć10ā»ā¹)}/(0.750Ć10ā»Ā³)
y=2.954mm
So the total distance between dark fringes on either side is 2Ćy
so final distance is
y=5.908 mm