A Young's double slit experiment is performed with white light, then

Options

A. the fringe next to the central will be red
B. the central fringe will be white
C. the fringe next to the central will be violet
D. there will not be a completely dark fringe

Explanation

### Step-by-Step Solution:

1. **Understanding White Light in Young's Double Slit Experiment**:
- In a Young's double slit experiment, when white light is used instead of monochromatic light, the light consists of multiple wavelengths corresponding to different colors (red, orange, yellow, green, blue, indigo, violet).

2. **Formation of Fringes**:
- Each color in white light will create its own interference pattern due to the different wavelengths. The central bright fringe will be formed by the superposition of all colors, resulting in a white light fringe.

3. **Wavelength Order**:
- The wavelengths of the colors vary, with violet having the shortest wavelength and red having the longest. This means that the fringe positions will vary based on the wavelength:
- Violet (shortest wavelength) will be closest to the central white fringe.
- Red (longest wavelength) will be farthest from the central white fringe.

4. **Arrangement of Colors**:
- As we move away from the central white fringe, the colors will appear in the following order:
- Closer to the center: Violet, Indigo, Blue, Green, Yellow, Orange, and finally Red.

5. **Conclusion**:
- The central fringe will be white, and the colors will spread out on either side, with violet being closest to the center and red being the farthest. There will not be a completely dark fringe since white light combines all colors.

### Final Answers:
- The central fringe will be white.
- The fringe next to the central fringe will be violet.
- There will not be a completely dark fringe.