Is Nyquist Theorem Applicable to a Detector with 500 Pixels and 5um Pixel Size?

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Homework Statement


Given a detector with 500 pixels, and a pixel size of 5 um, is it posible to register next signal?

I = cos(2 π 4 x)

were x is expressen in um

Homework Equations



fs = fs/2

The Attempt at a Solution



My problem is with the pixel size, I mean, the sampling rate will be 5/500=0.01 um/px, or it should be 1/5 um-1.

Once this drawback is solved, the solution is trivial, the Nyquist theorem is applied.

Thanks in advance
 
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There is one pixel every 5µm, so the sampling rate is 1 / (5µm). If the chip size were 5µm, then you would have 0.01 µm/pixel.