Two slits spaced 0.450nm apart are placed 75.0 cm from a screen. What is the distance between the second and third dark lines of the interference pattern on the screen when the slits are illuminated with coherent light with a wavelength of 500nm?

Explanation

To solve the problem of finding the distance between the second and third dark lines of the interference pattern, we can follow these steps:

### Step 1: Identify the given values
- Wavelength of light, \( \lambda = 500 \, \text{nm} = 500 \times 10^{-9} \, \text{m} \)
- Distance from the slits to the screen, \( D = 75.0 \, \text{cm} = 75.0 \times 10^{-2} \, \text{m} \)
- Distance between the slits, \( d = 0.450 \, \text{nm} = 0.450 \times 10^{-9} \, \text{m} \)

### Step 2: Calculate the fringe width
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