The distance between the first and fifth minima of a single slit diffraction patterns is 0.40 mm with screen 50 cm away from the slit, using light of wavelength 550 . (a) Find the slit width (b) Calculate the angle of the first diffraction minimum

Explanation

To solve the problem step by step, we will break it down into two parts: (a) finding the slit width and (b) calculating the angle of the first diffraction minimum.

### Part (a): Finding the Slit Width

1. **Identify the Given Values**:
- Distance between the first and fifth minima, \( y = 0.40 \, \text{mm} = 0.40 \times 10^{-3} \, \text{m} \)
- Distance from the slit to the screen, \( D = 50 \, \text{cm} = 0.50 \, \text{m} \)
- Wavelength of light, \( \lambda = 550 \, \text{nm} = 550 \times 10^{-9} \, \text{m} \)
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