A slit of width 'd' is illuminated by light of wavelength `5000 Å`. For what value od 'd' will the first maximum fall at an angle of diffraction of `30^(@)`.

Explanation

To solve the problem, we need to find the width of the slit \( d \) such that the first maximum occurs at an angle of diffraction of \( 30^\circ \) when illuminated by light of wavelength \( 5000 \, \text{Å} \).

### Step-by-Step Solution:

1. **Identify the given values:**
- Wavelength \( \lambda = 5000 \, \text{Å} = 5000 \times 10^{-10} \, \text{m} = 5 \times 10^{-7} \, \text{m} \)
- Angle of diffraction \( \theta = 30^\circ \)
- For the first maximum, \( n = 1 \)
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