Dark fringes for single-slit diffraction

In summary, single-slit diffraction is a phenomenon where a wave passing through a narrow opening or slit will spread out and create a pattern of bright and dark fringes. Dark fringes are areas of darkness caused by destructive interference, and they occur in single-slit diffraction when waves from different parts of the slit cancel each other out. The width of the slit affects the dark fringes, with wider slits resulting in wider central bright fringes and narrower dark fringes, and vice versa for narrower slits. The presence of dark fringes in single-slit diffraction has significant implications for studying waves, diffraction, and interference.
  • #1
golriz
43
0
How many dark fringes will be produced n either side of the central maximum if light (its wavelength is 651 nm ) is incident on a single slit that is 5.47x10^-6 m wide?


sin (theta) = m.wavelength/w
 
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  • #2
Looks good. Find theta when m = 1. Then for m = 2, and so on until it doesn't work anymore.
 

What is single-slit diffraction?

Single-slit diffraction is a phenomenon that occurs when a wave, such as light or sound, passes through a narrow opening or slit. The wave will spread out and interfere with itself, creating a pattern of bright and dark fringes.

What are dark fringes?

Dark fringes are areas of darkness or reduced intensity that appear in the diffraction pattern when a wave passes through a narrow opening. They occur when the waves from different parts of the slit cancel each other out due to destructive interference.

Why do dark fringes occur in single-slit diffraction?

Dark fringes occur in single-slit diffraction because the waves from different parts of the slit interfere with each other. When the waves are out of phase, they cancel each other out, creating areas of darkness in the diffraction pattern.

How does the width of the slit affect the dark fringes in single-slit diffraction?

The width of the slit has a direct impact on the dark fringes in single-slit diffraction. A wider slit will result in a wider central bright fringe and narrower dark fringes, while a narrower slit will create a narrower central bright fringe and wider dark fringes.

What is the significance of dark fringes in single-slit diffraction?

The presence of dark fringes in single-slit diffraction can provide information about the size of the slit and the wavelength of the wave. They can also be used to study the behavior of waves and the principles of diffraction and interference.

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