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

Options

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

Answer

### Step-by-Step Solution:

1. **Understanding the Setup**: In a Young's double slit experiment, we have a light source, two slits, and a screen where the interference pattern is observed. When using white light, which contains multiple wavelengths, we need to analyze how this affects the interference pattern.

**Hint**: Recall that white light is made up of different colors, each with its own wavelength.

2. **Central Fringe Observation**: The central fringe, where the path difference is zero, will appear white because all the colors of light constructively interfere at this point.

**Hint**: Think about how constructive interference works when all wavelengths are present.

3. **Colored Fringes Formation**: As we move away from the central fringe, different colors will interfere at different points due to their varying wavelengths. The shorter wavelengths (like violet) will be closer to the center, while longer wavelengths (like red) will be farther away.

**Hint**: Remember that the position of the fringes depends on the wavelength of the light used.

4. **Identifying Fringe Colors**: The first fringe on either side of the central white fringe will be violet, followed by blue, green, yellow, and finally red as you move outward. Thus, the fringes will be colored and will not be uniformly white.

**Hint**: Visualize the spectrum of colors and how they spread out from the center.

5. **Analyzing Options**:
- The central fringe is white (True).
- There will not be a completely dark fringe (True, since all colors contribute to the fringes).
- The fringe next to the central will be red (False, it will be violet).
- The fringe next to the central will be violet (True).

**Hint**: Carefully evaluate each statement against your understanding of the interference pattern created by white light.

### Final Conclusion:
- The correct statements are that the central fringe will be white, there will not be a completely dark fringe, and the fringe next to the center will be violet. The statement that the fringe next to the center will be red is incorrect.