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Double Slit, Central Diffraction Maximum
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In summary: What have you learned about the diffraction pattern of multiple slits?There are two patterns: one from the single-slit diffraction, the other from the interference between the rays traversing separate slits. The minima of the diffraction pattern are at sin(θ)=m λ/a where a is the slit width and m =±1, ±2,... You get the interference maxima from two slits d=340μm apart at sin(θ)=n λ/d.The first minima in the diffraction patter are at the angles where sin(θ-1)=- λ/a and sin(θ1)= λ/
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jegues
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Bump still looking for help
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ehild
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jegues
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ehild said:
We haven't looked at anything that complicated in my course. There must be an easier way to solving this...
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ehild
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What have you learned about the diffraction pattern of multiple slits?
There are two patterns: one from the single-slit diffraction, the other from the interference between the rays traversing separate slits. The minima of the diffraction pattern are at sin(θ)=m λ/a where a is the slit width and m =±1, ±2,... You get the interference maxima from two slits d=340μm apart at sin(θ)=n λ/d.
The first minima in the diffraction patter are at the angles where sin(θ-1)=- λ/a and sin(θ1)= λ/a. The "distance" between the interference maxima are λ/d. You see five bright lines in the range of the first diffraction maximum. What can be the ratio between a and d?
ehild
There are two patterns: one from the single-slit diffraction, the other from the interference between the rays traversing separate slits. The minima of the diffraction pattern are at sin(θ)=m λ/a where a is the slit width and m =±1, ±2,... You get the interference maxima from two slits d=340μm apart at sin(θ)=n λ/d.
The first minima in the diffraction patter are at the angles where sin(θ-1)=- λ/a and sin(θ1)= λ/a. The "distance" between the interference maxima are λ/d. You see five bright lines in the range of the first diffraction maximum. What can be the ratio between a and d?
ehild
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jegues
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I am still stuck. Can please give me another nudge in the right direction, I haven't given up yet.
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ehild
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Read the text of the problem again. It is very difficult to read those very tiny letters but I see (with magnifying glass) something about five bright fringes. And sorry, I can not follow your handwriting. Please type in what you did.
ehild
ehild
FAQ: Double Slit, Central Diffraction Maximum
What is the double slit experiment?
The double slit experiment is a classic experiment in physics that demonstrates the wave-particle duality of light. It involves shining a beam of light through two narrow slits and observing the resulting interference pattern on a screen.
What is the central diffraction maximum?
The central diffraction maximum is the bright spot that is observed at the center of the interference pattern in the double slit experiment. It is the result of constructive interference between the waves passing through the two slits.
What factors affect the central diffraction maximum?
The central diffraction maximum is affected by the wavelength of the light, the distance between the two slits, and the distance between the slits and the screen. It is also affected by the size of the slits and the intensity of the light source.
Why is the central diffraction maximum important?
The central diffraction maximum is important because it provides evidence for the wave-like nature of light. It also helps to confirm the principles of diffraction and interference, which are fundamental concepts in the field of optics.
How is the central diffraction maximum used in real-world applications?
The central diffraction maximum is used in various real-world applications, such as in the design of optical instruments like microscopes and telescopes. It is also used in diffraction grating experiments to analyze the properties of light and in the production of holograms.