In Young's experiment one slit is covered with a blue filter and the other (slit) with a yellow filter then the interference pattern

Options

A. will be blue
B. will be yellow
C. will be green
D. will not be formed

Answer

### Step-by-Step Solution:

1. **Understanding the Setup**: In Young's double-slit experiment, we have two slits that allow light to pass through. In this case, one slit is covered with a blue filter and the other with a yellow filter.

2. **Function of Filters**: A blue filter allows only blue light to pass through, while a yellow filter allows only yellow light to pass through. This means that after passing through the filters, the light emerging from each slit will be of different colors.

3. **Wavelength and Frequency**: Different colors of light correspond to different wavelengths. Blue light has a shorter wavelength compared to yellow light. Since the speed of light remains constant in a vacuum, the relationship between speed (v), frequency (f), and wavelength (λ) can be expressed as:
\[ v = f \cdot \lambda \]
Since the speed of light is constant, if the wavelength changes, the frequency must also change.

4. **Coherence of Light Sources**: For interference patterns to form, the light sources must be coherent, meaning they must have a constant phase relationship. However, since the blue and yellow light have different wavelengths and frequencies, they will not maintain a constant phase relationship.

5. **Conclusion on Interference Pattern**: Because the two light sources (from the slits) are no longer coherent due to their differing wavelengths and frequencies, an interference pattern will not be formed on the screen.

### Final Answer:
The interference pattern will not be formed when one slit is covered with a blue filter and the other with a yellow filter.

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