Usually, fwhm considered about 3000 cm-1 in many papers, but this is a very big number in comparison with the corresponding value for Gaussian broadening, in text books--it is about 0.05 cm-1 for example.
In the beginning, the aperture of UV spectrometers were designed in such a way so that 3648 waves; each of wave length one nm can naturally pass. So the natural line with of any peak should be 3648 nm which when converted into cm-1 comes out to be=2741.2.
Now:
300 pixels=1 inch=2.54 cm; so 1 cm=118.11 pixels. In UV-Vis. the line width
lies in between 0.035 -0. 05 pixel. Let us take average value to be 0.043 pixel.
Now 118.11 pixel=1cm; so 0.043 pixel= 0.0003641 cm; convert into cm-1 =2746.5.