In single slit experiment, if green light is instead of orange light then width of fringe will

Options

A. Remain same
B. Become narrower
C. Becomes twice
D. Becomes four-times

Answer

To solve the problem regarding the change in fringe width when switching from orange light to green light in a single slit experiment, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Relationship**: The fringe width (β) in a single slit diffraction experiment is given by the formula:
\[ \beta = \frac{\lambda D}{a} \]
where:
- \( \beta \) = fringe width
- \( \lambda \) = wavelength of the light used
- \( D \) = distance from the slit to the screen
- \( a \) = width of the slit

2. **Identify Wavelengths**: We need to compare the wavelengths of green light and orange light.
- Orange light has a longer wavelength compared to green light.
- Typically, the wavelength of orange light is around 590 nm, while green light is around 520 nm.

3. **Analyze the Effect of Wavelength on Fringe Width**: Since fringe width is directly proportional to the wavelength:
- If the wavelength decreases (as it does when switching from orange to green), the fringe width will also decrease.

4. **Conclusion**: Therefore, when green light is used instead of orange light, the fringe width will become narrower.

### Final Answer:
The width of the fringe will **become narrower**.

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