Two wavelengths of sodium light 590 nm and 596 nm are used in turn to study the diffraction at a single slit of size 4mm. The distance between the slit and screen is 2m. Calculate the separation between the positions of the first maximum of the diffraction pattern obtained in the two cases.

Explanation

To solve the problem of finding the separation between the positions of the first maximum of the diffraction pattern obtained with two different wavelengths of sodium light, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Wavelength 1 (\( \lambda_1 \)) = 590 nm = \( 590 \times 10^{-9} \) m
- Wavelength 2 (\( \lambda_2 \)) = 596 nm = \( 596 \times 10^{-9} \) m
- Slit width (\( a \)) = 4 mm = \( 4 \times 10^{-3} \) m
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