Coherent light from a sodium-vapor lamp is passed through a filter that blocks everything except for light of a single wavelength. It then falls on two slits separated by a distance of 0.470 mm. In the resulting interference pattern on a screen which is a distance of 2.23 m away, adjacent bright fringes have a separation of 2.79 mm Part A What is the wavelength? A = —| ΑΣΦ ? m

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**Interference Pattern Problem**

Coherent light from a sodium-vapor lamp is passed through a filter that blocks everything except for light of a single wavelength. It then falls on two slits separated by a distance of 0.470 mm. In the resulting interference pattern on a screen, which is a distance of 2.23 m away, adjacent bright fringes have a separation of 2.79 mm.

**Part A**

*Question: What is the wavelength?*

The problem involves calculating the wavelength (λ) based on the given parameters using the double-slit interference formula: 

\[ \lambda = \frac{xd}{L} \]

Where:
- \( x \) is the fringe separation: 2.79 mm
- \( d \) is the slit separation: 0.470 mm
- \( L \) is the distance to the screen: 2.23 m

\[ \lambda = \]

(*Answer box in meters with submission button*) 

Buttons for text formatting and math symbols are provided to help with input. 

**Request Answer** - Option to request the solution if needed.
Transcribed Image Text:**Interference Pattern Problem** Coherent light from a sodium-vapor lamp is passed through a filter that blocks everything except for light of a single wavelength. It then falls on two slits separated by a distance of 0.470 mm. In the resulting interference pattern on a screen, which is a distance of 2.23 m away, adjacent bright fringes have a separation of 2.79 mm. **Part A** *Question: What is the wavelength?* The problem involves calculating the wavelength (λ) based on the given parameters using the double-slit interference formula: \[ \lambda = \frac{xd}{L} \] Where: - \( x \) is the fringe separation: 2.79 mm - \( d \) is the slit separation: 0.470 mm - \( L \) is the distance to the screen: 2.23 m \[ \lambda = \] (*Answer box in meters with submission button*) Buttons for text formatting and math symbols are provided to help with input. **Request Answer** - Option to request the solution if needed.
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