A parallel beam of green light of wavelength 546 nm passes through a slit of width 0.40mm. The transmitted light is collected on a screen 40 cm away. Find the distance between the two first order minima.

Explanation

To solve the problem of finding the distance between the two first order minima for a parallel beam of green light passing through a slit, we can follow these steps:

### Step 1: Convert the given values to standard units
- Wavelength of light, \( \lambda = 546 \, \text{nm} = 546 \times 10^{-9} \, \text{m} \)
- Width of the slit, \( d = 0.40 \, \text{mm} = 0.40 \times 10^{-3} \, \text{m} = 4.0 \times 10^{-4} \, \text{m} \)
- Distance from the slit to the screen, \( D = 40 \, \text{cm} = 40 \times 10^{-2} \, \text{m} = 0.40 \, \text{m} \)

### Step 2: Use the formula for the position of the first order minima
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