Two different color beams (yellow and blue) from a point source are incident on both slits of a Young's double-slit experiment setup

Options

A. There will be no interference pattern seen on the screen
B. There will be interference pattern and where there is constructive interference the spot will be green
C. There will be alternate bands of yellow, blue, and dark regions with equal separation between them
D. There will be yellow and blue light interference patterns which are slightly separated from each otherbecause the angles at which the maxima and minima occur for the two wavelengths are different

Answer

To solve the problem regarding the interference of two different color beams (yellow and blue) in a Young's double-slit experiment, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Setup**:
- In a Young's double-slit experiment, coherent light sources are used to create an interference pattern on a screen. Here, we have two different colors of light: yellow and blue.

2. **Identifying Wavelengths**:
- Yellow light typically has a wavelength of about 580 nm, while blue light has a wavelength of about 450 nm. The difference in wavelengths is crucial for understanding the interference pattern.

3. **Interference Condition**:
- The condition for constructive interference (bright spots) is given by the equation:
\[ d \sin \theta = m \lambda \]
where \(d\) is the distance between the slits, \(\theta\) is the angle of the bright fringe, \(m\) is the order of the fringe (0, 1, 2,...), and \(\lambda\) is the wavelength of the light.

4. **Different Patterns for Different Colors**:
- Since yellow and blue light have different wavelengths, the angles for the maxima and minima will differ for each color. This means that the interference patterns for yellow and blue light will not overlap perfectly.

5. **Resulting Pattern on the Screen**:
- On the screen, we will observe two distinct interference patterns: one for yellow light and another for blue light. The bright spots from each color will be separated due to the difference in their wavelengths.

6. **Conclusion**:
- The final observation will be that there will be two interference patterns, one for yellow and one for blue, which will appear slightly separated from each other. This is because the positions of the maxima and minima for each color depend on their respective wavelengths.

### Final Answer:
The correct conclusion is that there will be yellow and blue light interference patterns which are slightly separated from each other due to the different wavelengths.

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