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 ?

What is the minimum uncertainty in position, in nm, of an electron whose velocity is known to be between 2.96×105 m/s and 3.08×105 m/s ? Express your answer using two significant figures. ΑΣφ 4.6 nm Submit Previous Answers Request Answer X Incorrect; Try Again; 2 attempts remaining

Electrons with a speed of 1.4×106 m/sm/s pass through a double-slit apparatus. Interference fringes are detected with a fringe spacing of 2.4 mmmm .     Part A What will the fringe spacing be if the electrons are replaced by neutrons with the same speed? Express your answer in micrometers.         ΔynΔyn = 1.30•10−6 μmμm   SubmitPrevious AnswersRequest Answer  Incorrect; Try Again; 4 attempts remaining Part B What speed must neutrons have to produce interference fringes with a fringe spacing of 2.4 mmmm ? Express your answer in meters per second.

2. A proton with kinetic energy 1.00 eV is incident on a square potential barrier with height 10.00 eV. If the proton is to have the same transmission probability as an electron of the same energy, what must the width of the barrier be relative to the barrier width encountered by an electron?