*31. ssm How many dark fringes will be produced on either side of the central maximum if light (λ = 651 nm) is incident on a single slit that is 5.47 x 10-6 m wide?

 

For single slit, dark fringes follow

Solve for m

 

To maximize m, we make sin(q) as large as possible which would be a 90° angle which makes sin(90°) is 1

 

 

Since you cannot have a fractional dark fringe,

 

 

 

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