Calculate the distance between two adjacent bright fringes for coherent light of wavelength 488 nm passing through double slits separated by 0.05 mm. The slits are located 2.00 m from a screen. Central maximum 2.60 cm O 1.22 cm 1.75 cm 2.37 cm O 1.95 cm

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**Educational Content: Double Slit Experiment**

**Problem Statement:**

Calculate the distance between two adjacent bright fringes for coherent light of wavelength 488 nm passing through double slits separated by 0.05 mm. The slits are located 2.00 m from a screen.

![Image Description: Central maximum pattern showing alternating bright and dark fringes.]

**Options:**

- ⃝ 2.60 cm
- ⃝ 1.22 cm
- ⃝ 1.75 cm
- ⃝ 2.37 cm
- ⃝ 1.95 cm

**Explanation of Diagram:**

The image shows an interference pattern with alternating bright (red) and dark fringes, typically associated with the double-slit experiment. The central bright fringe is labeled as the "Central maximum." This phenomenon demonstrates the wave nature of light, where light waves interfere constructively and destructively to form bright and dark regions. The diagram is a visual representation to aid in understanding the problem of calculating fringe distance.

**Conceptual Background:**

The distance between two consecutive bright fringes, or fringe spacing, in a double-slit experiment, is given by the formula:

\[ y = \frac{\lambda \cdot D}{d} \]

Where:
- \( y \) = fringe spacing
- \( \lambda \) = wavelength of light (488 nm)
- \( D \) = distance from slits to screen (2.00 m)
- \( d \) = slit separation (0.05 mm)
Transcribed Image Text:**Educational Content: Double Slit Experiment** **Problem Statement:** Calculate the distance between two adjacent bright fringes for coherent light of wavelength 488 nm passing through double slits separated by 0.05 mm. The slits are located 2.00 m from a screen. ![Image Description: Central maximum pattern showing alternating bright and dark fringes.] **Options:** - ⃝ 2.60 cm - ⃝ 1.22 cm - ⃝ 1.75 cm - ⃝ 2.37 cm - ⃝ 1.95 cm **Explanation of Diagram:** The image shows an interference pattern with alternating bright (red) and dark fringes, typically associated with the double-slit experiment. The central bright fringe is labeled as the "Central maximum." This phenomenon demonstrates the wave nature of light, where light waves interfere constructively and destructively to form bright and dark regions. The diagram is a visual representation to aid in understanding the problem of calculating fringe distance. **Conceptual Background:** The distance between two consecutive bright fringes, or fringe spacing, in a double-slit experiment, is given by the formula: \[ y = \frac{\lambda \cdot D}{d} \] Where: - \( y \) = fringe spacing - \( \lambda \) = wavelength of light (488 nm) - \( D \) = distance from slits to screen (2.00 m) - \( d \) = slit separation (0.05 mm)
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