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Sketch and explain the pattern that would have been on a screen with a single-slit set up if light were to behave as a particle
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- Which of the following statements are true? Check all that apply. When particles pass through a double slit, it acts like a particle. When particles pass through a double slit, it acts like waves. When light passes through a double slit, it acts like particles. When light passes through a double slit, it acts like a wave.Could an experiment involving electron diffraction be conducted with three or four slits? Employing a grating with several slits? What type of outcomes might you anticipate with a grating? Would this violate the uncertainty principle? Explain.Provide an example of quantum entanglement, using an image.
- Learning Goal: To understand how to find the wavelength and diffraction patterns of electrons. An electron beam is incident on a single slit of width a. The electron beam was generated using a potential difference of magnitude V. After passing through the slit, the diffracted electrons are collected on a screen that is a distance L away from the slit. Assume that V is small enough so that the electrons are nonrelativistic. Ultimately, you will find the width of the central maximum for the diffraction pattern. Part A In any diffraction problem, the wavelength of the waves is important. To find the wavelength of electrons, you can use the de Broglie relation λ =, but you first must find the momentum of one of the electrons. The electrons are accelerated through a potential difference V. Use this information to find the momentum p of the electrons. Express your answer in terms of the mass of an electron me, the magnitude of the charge on an electron e, and V. ► View Available Hint(s) p=…A single beam of electrons shines on a single slit of width 9.5nm. A diffraction pattern (of electrons!) is formed on a screen that is 7.6m away from the slit. The distance between the central bright spot and the first minimum is 1.9cm.What is the wavelength (nm) of the electrons?Make use of the small angle approximationIn a double slit experiment with a single electron, a very thin film of fluorescent material that emits a photon whenever an electron passes through is placed on one of the slits to check which slit the electrons goes through. Describe the resulting pattern on the detecting screen if the experiment is repeated many time
- Choose the BEST answer: In the double slit experiment, electrons are shot out of an electron gun one at a time toward a screen with a double slit. Suppose a laser beam is placed behind the screen in an attempt to determine which slit the electron passes through. In this scenario, each single electron will pass through and cause to appear on the detector screen. Laser Electron gun Double slit Detector screen One slit or the other; Two bright lines O Both slits at the same time; An interference pattern O Neither slits; Nothing Both slits at the same time; Two bright lines One slit or the other; An interference patternA beam of electrons is accelerated from rest and then passes through a pair of identical thin slits that are 1.25 nm apart. You observe that the first double-slit interference dark fringe occurs at +_18.0° from the original direction of the beam when viewed on a distant screen. Are these electrons relativistic? How do you know?2. A particle moving at 1000 m/s travels through an open slit, producing an interference pattern with the first minimum at an angle of 1° from the center. A) The particle is a helium nucleus (or 'alpha particle') with a mass of 6.7x10-27 kg. Calculate its de Broglie wavelength. B) Determine the width of this slit. C) If the particle's speed were doubled (to 2000 m/s), what would happen to your answer in part (B)?
- Learning Goal: To understand how to find the wavelength and diffraction patterns of electrons. An electron beam is incident on a single slit of width a. The electron beam was generated using a potential difference of magnitude V. After passing through the slit, the diffracted electrons are collected on a screen that is a distance L away from the slit. Assume that Vis small enough so that the electrons are nonrelativistic. Ultimately, you will find the width of the central maximum for the diffraction pattern. Part B What is the wavelength of the electron beam? Use the de Broglie relation and the momentum that you found in Part A. Express your answer in terms of h, me, e, and V. X = [5] ΑΣΦ Submit Request Answer ?Particles pass through a single slit of width 1.6 mm (see Figure 29.15). The de Broglie wavelength of each particle is 583 nm. After the particles pass through the slit, they spread out over a range of angles. Assume that the uncertainty in the position of the particles is one-half the width of the slit, and use the Heisenberg uncertainty principle to determine the minimum range of angles. - First dark fringe Midpoint of central bright fringe Moving electron Px Single slit - First dark fringe Screen Figure 29.15 -5.80e-5 degrees v the tolerance is +/-2%a) In a double-slit experiment, a stream of electrons with speed v = 10 m/s is aimed at two parallel slits. On the screen one meter behind the slits an interference pattern is observed in the number of electrons arriving at different points on the screen. The distance between the first and the second intensity maxima is 1 cm. Find the distance between the slits.
