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

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, two slits (S1 and S2) are illuminated with light, and the light waves from these slits interfere with each other on a screen to produce a pattern of bright and dark fringes.

2. **Using White Light**: In this case, white light is used instead of monochromatic light. White light consists of multiple wavelengths (colors), including red, orange, yellow, green, blue, indigo, and violet.

3. **Central Fringe Observation**: At the center of the interference pattern (where the path difference is zero), all wavelengths constructively interfere. This means that at the center, we will see a bright white fringe because all colors combine to form white light.

4. **Fringe Colors**: As we move away from the center, different wavelengths will produce their own maxima and minima due to their varying path differences. The longest wavelength (red) will create its first maximum further away from the center than the shortest wavelength (violet).

5. **Color Sequence**: The sequence of colors in the interference pattern will be:
- The central fringe will be white.
- The fringe next to the central fringe will be red (longest wavelength).
- The fringe next to the red fringe will be orange, followed by yellow, green, blue, indigo, and violet.

6. **Conclusion**: Therefore, the correct statements regarding the interference pattern produced by white light in a Young's double-slit experiment are:
- The central fringe will be white.
- The fringe next to the central fringe will be red.
- The fringe next to the red fringe will be orange, and so on.

**Final Answer**:
- The center fringe will be white (Option 1).
- The fringe next to the central will be red (Option 2).
- The fringe next to the red will be orange, and so forth.