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What is the relationship between the fringe width and the wavelength of light?

The fringe width in an interference pattern is directly proportional to the wavelength of light.

This means that:

  • As the wavelength increases, the fringe width also increases.
  • Conversely, if the wavelength decreases, the fringe width becomes narrower.

In practical terms, when using longer-wavelength light (like red), the bright and dark fringes in an interference pattern are spaced farther apart. With shorter-wavelength light (like blue or violet), the fringes appear closer together.

This relationship is important in experiments like Young’s double-slit, where changing the color (and thus the wavelength) of light directly affects the spacing between the interference fringes on the screen.

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