Please refer to the attached image, which shows the pattern of interference fringes for light of wavelength 467 nm passing through two narrow slits, projected onto a screen a distance of 2.43 m away. The distance on the screen between the centers of two adjacent bright fringes is 1.95 cm. What is the distance between

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Please refer to the attached image, which shows the pattern of interference fringes for light of wavelength 467 nm passing through two narrow slits, projected onto a screen a distance of 2.43 m away. The distance on the screen between the centers of two adjacent bright fringes is 1.95 cm. What is the distance between the two slits?

The image represents an interference pattern, a crucial concept in the study of wave phenomena such as optics and acoustics. This pattern is created when waves overlap and combine, resulting in areas of higher (constructive interference) and lower intensity (destructive interference).

### Explanation of the Interference Pattern:

1. **Brightness and Darkness**: The alternating bright and dark bands illustrate regions of constructive and destructive interference, respectively.
   - **Bright Bands**: These occur where the crests of two overlapping waves align, leading to an increase in amplitude.
   - **Dark Bands**: These occur where the crest of one wave aligns with the trough of another, resulting in cancellation of the waves.

2. **Symmetry**: The pattern is symmetric around a central bright fringe, demonstrating the regular spacing and periodic nature of wave interactions.

3. **Applications**:
   - **Double-Slit Experiment**: This pattern is commonly associated with the double-slit experiment, which demonstrates the wave nature of light.
   - **Sound Waves**: Similar patterns can be observed with sound waves, providing insight into acoustics.

Understanding this pattern is fundamental to grasping concepts in physics related to wave behavior, such as the principles of superposition and coherence.
Transcribed Image Text:The image represents an interference pattern, a crucial concept in the study of wave phenomena such as optics and acoustics. This pattern is created when waves overlap and combine, resulting in areas of higher (constructive interference) and lower intensity (destructive interference). ### Explanation of the Interference Pattern: 1. **Brightness and Darkness**: The alternating bright and dark bands illustrate regions of constructive and destructive interference, respectively. - **Bright Bands**: These occur where the crests of two overlapping waves align, leading to an increase in amplitude. - **Dark Bands**: These occur where the crest of one wave aligns with the trough of another, resulting in cancellation of the waves. 2. **Symmetry**: The pattern is symmetric around a central bright fringe, demonstrating the regular spacing and periodic nature of wave interactions. 3. **Applications**: - **Double-Slit Experiment**: This pattern is commonly associated with the double-slit experiment, which demonstrates the wave nature of light. - **Sound Waves**: Similar patterns can be observed with sound waves, providing insight into acoustics. Understanding this pattern is fundamental to grasping concepts in physics related to wave behavior, such as the principles of superposition and coherence.
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