Red light of wavelength `6500 Å` from a distant source falls on a slit `0.50 mm` wide. Calculate the distance between first two dark bands on each side of central bright band in the diffraction pattern observed on a screen placed `1.8 m` from the slit.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Identify the given values
- Wavelength of red light, \( \lambda = 6500 \, \text{Å} = 6500 \times 10^{-10} \, \text{m} = 6.5 \times 10^{-7} \, \text{m} \)
- Width of the slit, \( D = 0.50 \, \text{mm} = 0.50 \times 10^{-3} \, \text{m} = 5 \times 10^{-4} \, \text{m} \)
- Distance from the slit to the screen, \( L = 1.8 \, \text{m} \)

### Step 2: Calculate the fringe width (\( \beta \))
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