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a fraunhofer diffraction is produced from a light source of 580nm.The light goes through a single slit and on to a screen a meter away.The first dark fringe is 5mm from central bright fringe.What is the slit width

a fraunhofer diffraction is produced from a light source of 580nm.The light goes through a single slit and on to a screen a meter away.The first dark fringe is 5mm from central bright fringe.What is the slit width

Grade:12

1 Answers

Arun
25750 Points
5 years ago
for the dark fringe in diffraction we can say
 
here given that
n = 1 for first dark fringe
a = width of the slit
 
now for finding the angle it is given
for small angles we can write
 
 
now by above equation we can find
 
 
 
so width of the slit is 0.12 mm

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