A double-slit interference pattern is observed on a screen with the intensity graph. Points A, B, C, D, and E are bright fringes. Points F, G, H, I, J, and K are dark fringes. The wavelength of the green light is 560 nm. The distance between the two slits is 0.40 mm, and the distance between the screen and the slit is 2.0 m. What is the distance between fringes C and B, in mm?Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement. This image illustrates the classic double-slit experiment, demonstrating the wave nature of light.### Components of the Illustration:1. **Light Source:** - A vertical "Light Generator" is depicted on the left, emitting coherent light at a wavelength of 500 nanometers.2. **Double Slit:** - Two slits are positioned in the path of the light, allowing it to pass through and create an interference pattern on the other side.3. **Interference Pattern:** - The light waves emerging from the slits intersect, producing a pattern of alternating bright and dark bands on a screen to the right. This is indicative of constructive and destructive interference, respectively.4. **Intensity Graph:** - On the far right, an intensity graph is shown. It visualizes the distribution of light and dark bands. - The graph is labeled from A to E on the right side and F to K on the left side. - Intensity peaks (constructive interference) are marked by letters such as F, H, and J. - Intensity troughs (destructive interference) are marked by letters such as G, I, and K.### Explanation of the Concepts:- **Constructive Interference:** Occurs when waves from the two slits are in phase, producing bright bands on the screen.- **Destructive Interference:** Occurs when waves from the two slits are out of phase, resulting in dark bands.- **Measurement Units:** - Wavelength: 500 nm (nanometers) - Time: 1 femtosecond (fs) = $10^{-15}$ secondsThis experiment underscores the principle of wave-particle duality, illustrating light's ability to exhibit properties of both waves and particles.

The points C and B differ by one fringe width. Hence the distance between C and B = fringe width =β=λDd=560·10-9·20.4·10-3=0.0028 meters = 2.8 mm

Answered: A double-slit interference pattern is…

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A double-slit interference pattern is observed on a screen with the intensity graph. Points A, B, C, D, and E are bright fringes. Points F, G, H, I, J, and K are dark fringes. The wavelength of the green light is 560 nm. The distance between the two slits is 0.40 mm, and the distance between the screen and the slit is 2.0 m. What is the distance between fringes C and B, in mm?

Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.

This image illustrates the classic double-slit experiment, demonstrating the wave nature of light.

### Components of the Illustration:

1. **Light Source:**
- A vertical "Light Generator" is depicted on the left, emitting coherent light at a wavelength of 500 nanometers.

2. **Double Slit:**
- Two slits are positioned in the path of the light, allowing it to pass through and create an interference pattern on the other side.

3. **Interference Pattern:**
- The light waves emerging from the slits intersect, producing a pattern of alternating bright and dark bands on a screen to the right. This is indicative of constructive and destructive interference, respectively.

4. **Intensity Graph:**
- On the far right, an intensity graph is shown. It visualizes the distribution of light and dark bands.
- The graph is labeled from A to E on the right side and F to K on the left side.
- Intensity peaks (constructive interference) are marked by letters such as F, H, and J.
- Intensity troughs (destructive interference) are marked by letters such as G, I, and K.

### Explanation of the Concepts:

- **Constructive Interference:** Occurs when waves from the two slits are in phase, producing bright bands on the screen.
- **Destructive Interference:** Occurs when waves from the two slits are out of phase, resulting in dark bands.
- **Measurement Units:**
- Wavelength: 500 nm (nanometers)
- Time: 1 femtosecond (fs) = $10^{-15}$ seconds

This experiment underscores the principle of wave-particle duality, illustrating light's ability to exhibit properties of both waves and particles.

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