1. Two very small slits are positioned a distance of 4.15 nm from each other. A relativistic stream ofprotons is directed at these slits. (a) If these protons have a relativistic kinetic energy that is equal toeight times their rest energy, then what is the distance a screen must be placed in front of the slits inorder for the distance between the central maximum and the m = 11 minimum of the interferencepattern to be 1.00 cm? (b) By what factor is the energy of photons that create this same interferencepattern greater than the relativistic kinetic energy of the neutron?

The kinetic energy of the proton is Ek = 8 E0 = 8 x 938 MeV =7504 MeV Where E0 is the rest mass…

Answered: 1. Two very small slits are positioned…

Similar questions

Q:4)(25) In a double-slit experiment with electrons, the slit separation of the apparatus d=0.1 mm and the slit-screen separation D=20 cm. We want to be able to detect the distance between two adjacent maxima on the screen, ym+1 - Ym = 1 µm. (h=6.6x1034 kg.m²/s, m-9x1031 kg) a) Find de Broglie wavelength of the electrons. b) What should be the speed of the electrons that are directed into a double-slit? c) Do we need a relativistic correction? Explain your reasoning.
This question relates to the practicality of searching for intelligent life in other solar systems by detecting their radio broadcasts (or aliens find us from ours). The closest stars are 4 light years away from us. How far away must you be from a 460 kHz radio station with power 50.0 kW for there to be only one photon per second per square meter? Assume that the photons spread out spherically. The area of a sphere is 4??24πr2. b) How many lightyears away is this?
Could an electron-diffraction experiment be carried out using three or four slits? Using a grating with many slits? What sort of results would you expect with a grating? Would the uncertainty principle be violated? Explain.
Resolving ‘power’ of an electron microscope versus optical (photon) microscope: If a resolution of 1.0 x 10-11m (0.010nm) is required to ‘see’ an atom, (a) If electrons are used (e-microscope), what minimum kinetic energy of the electrons is required? Use deBroglie’s Hypothesis and KE = p2/2me and non-relativistic velocities: (b) If photons are used, what minimum KE (Eγ) is required to obtain 10-11m resolution?
124. For a 1-kg ball in a l-m² square two-dimensional box (i.e., L = 1 m), what is the lowest quantum energy allowed? If the ball had this kinetic energy, how long would it take to travel from one side of the box to the other? Is this time something that you think you could measure?
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 ?
5. What are the kinetic energy and the speed of an electron ejected from a sodium surface whose work function is W0 = 2.28 eV when illuminated by light of wavelength (a) 410 nm and (b) 550 nm?