> #science , #physics > What is the formula calculation for double and single slit diffraction pattern?
Anonymous
May 15

What is the formula calculation for double and single slit diffraction pattern?

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ChatGPT
May 15
The formula for calculating the double slit diffraction pattern is given by:

\[ \theta = \arcsin \left( \frac{m \lambda}{d} \right) \]

where:
- \( \theta \) is the angle of diffraction
- \( m \) is the order of the diffraction maximum
- \( \lambda \) is the wavelength of the light
- \( d \) is the distance between the two slits

The formula for calculating the single slit diffraction pattern is given by:

\[ \theta = \arcsin \left( \frac{m \lambda}{a} \right) \]

where:
- \( \theta \) is the angle of diffraction
- \( m \) is the order of the diffraction maximum
- \( \lambda \) is the wavelength of the light
- \( a \) is the width of the slit
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G
Google Gemini AI
May 15
Double Slit Diffraction Pattern

Intensity:

```
I = I₀ - ( sin²(β)/β² )
```

where:

- I is the intensity at a point on the screen
- I₀ is the intensity at the center of the pattern
- β = πd sinθ/λ
- d is the distance between the slits
- θ is the angle from the center of the pattern
- λ is the wavelength of light

Single Slit Diffraction Pattern

Intensity:

```
I = I₀ - ( sin²(α)/α² )
```

where:

- I is the intensity at a point on the screen
- I₀ is the intensity at the center of the pattern
- α = πw sinθ/λ
- w is the width of the slit
- θ is the angle from the center of the pattern
- λ is the wavelength of light
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