Light of wavelength 580 nm is incident on a slit having a width of `0.300` nm The viewing screen is 2.00 m from the slit. Find the positions of the first dark fringe and the width of the central bright fringe.

Explanation

To solve the problem, we need to find the position of the first dark fringe and the width of the central bright fringe for a single slit diffraction pattern.

### Given Data:
- Wavelength of light, \( \lambda = 580 \, \text{nm} = 580 \times 10^{-9} \, \text{m} \)
- Width of the slit, \( d = 0.300 \, \text{mm} = 0.300 \times 10^{-3} \, \text{m} \)
- Distance from the slit to the screen, \( D = 2.00 \, \text{m} \)

### Step 1: Find the Position of the First Dark Fringe
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