In a setup like that in Figure 27.7, a wavelength of 625 nm is used in a Young's double-slit experiment. The separation between the slits is d = 1.4 x 105 m. The total width of the screen is 0.20 m. In one version of the setup, the separation between the double slit and the screen is LA = 0.28 m, whereas in another version it is Lg= 0.44 m. On one side of the central bright fringe, how many bright fringes lie on the screen in the two versions of the setup? Do not include the central bright fringe in your counting. A: Number of bright fringes = Number i B: Number of bright fringes = Number i d Figure 27.7 -m=3 (Bright fringe) -m=0 (Bright fringe) Units Units -m=3 (Bright fringe)

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**Young’s Double-Slit Experiment Overview**

In the setup illustrated by Figure 27.7, a wavelength of 625 nm is used in a Young’s double-slit experiment. The separation between the slits is \(d = 1.4 \times 10^{-5}\) m. The total width of the screen is 0.20 m. 

In one version of the setup, the distance between the double slit and the screen is \(L_A = 0.28\) m, while in another version it is \(L_B = 0.44\) m. On one side of the central bright fringe, determine how many bright fringes lie on the screen in each setup, excluding the central bright fringe from your count.

**Diagram Explanation:**

Figure 27.7 shows two vertical lines representing the double slits with spacing \(d\). Perpendicular to these slits is the direction in which light travels, forming diffraction patterns on the opposite screen. The diagram illustrates path differences leading to bright fringes at angles \(\theta\), with the order of bright fringes labeled as \(m = 0\) (central bright fringe), \(m = 3\), etc., symmetrically above and below the central axis.

- \( \theta \): Angle of diffraction
- \( y \): Position of bright fringes on the screen
- \( L \): Distance from the slits to the screen
- Bright fringes shown at \(m = 3\) and \(m = 0\) 

**Questions:**

A: Enter the number of bright fringes for \(L = 0.28\) m.

B: Enter the number of bright fringes for \(L = 0.44\) m.

**Answer Input Fields:**

- A: Number of bright fringes = [   ] Units
- B: Number of bright fringes = [   ] Units
Transcribed Image Text:**Young’s Double-Slit Experiment Overview** In the setup illustrated by Figure 27.7, a wavelength of 625 nm is used in a Young’s double-slit experiment. The separation between the slits is \(d = 1.4 \times 10^{-5}\) m. The total width of the screen is 0.20 m. In one version of the setup, the distance between the double slit and the screen is \(L_A = 0.28\) m, while in another version it is \(L_B = 0.44\) m. On one side of the central bright fringe, determine how many bright fringes lie on the screen in each setup, excluding the central bright fringe from your count. **Diagram Explanation:** Figure 27.7 shows two vertical lines representing the double slits with spacing \(d\). Perpendicular to these slits is the direction in which light travels, forming diffraction patterns on the opposite screen. The diagram illustrates path differences leading to bright fringes at angles \(\theta\), with the order of bright fringes labeled as \(m = 0\) (central bright fringe), \(m = 3\), etc., symmetrically above and below the central axis. - \( \theta \): Angle of diffraction - \( y \): Position of bright fringes on the screen - \( L \): Distance from the slits to the screen - Bright fringes shown at \(m = 3\) and \(m = 0\) **Questions:** A: Enter the number of bright fringes for \(L = 0.28\) m. B: Enter the number of bright fringes for \(L = 0.44\) m. **Answer Input Fields:** - A: Number of bright fringes = [ ] Units - B: Number of bright fringes = [ ] Units
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