Far-field interference pattern in double slit experiment

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Homework Statement


An interference experiment employs two narrow parallel slits of separation
0.25mm, and monochromatic light of wavelength [tex]\lambda[/tex] = 500 nm. Estimate
the minimum distance that the projection screen must be placed behind
the slits in order to obtain a far-field interference pattern.
[tex]\lambda[/tex] = 500nm
d = .25mm = 2.5 *10^5 nm
D = distance to projection screen

Homework Equations


I know that for a far-field interference pattern to emerge, d/D<<1 and d^2/[tex]\lambda[/tex]<<D


The Attempt at a Solution


I don't know how to get an exact value for a minimum value of D. I know that D must be much greater than 125mm from the above, but I don't know how to get anything more specific than that.
 

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