Question 1 (3 points) The operator of a mass spectrometer produces a beam of doubly ionized (2+) ions. They first are accelerated by a potential difference of 34 V. Then, as the ions pass through a magnetic field of 0.050 T, the radius of their path is 53 mm. a) Determine the charge to mass ratio of this ion. (2 marks b) Using your periodic table determine the most likely element this ion would be. (Please note that the average NUCLEON, proton or neutron, has a mass of 1. 67 3310727kg.)(1 mark) (Be sure to show your work for full marks.) Question 2 (4 points) Years ago a high school physics teacher put some gas tubes into storage but forgot to label them. Now the school needs to figure out what kind of gas is in each tube. The spectrum from one of the tubes is shown below: ssasssss a) Is this an emission, absorption, or continuous spectrum? How is this particular spectrum made? b) The teacher is certain that the gas is either hydrogen or mercury. Use the energy level diagrams given below for each type of gas to determine the type of gas that gave off the spectrum shown. Show your work and explain your understanding. Hydrogen Mercury Level ENEIQY {9V} Level Energy tell) :1 : 1 lOnlL'ITIOI'I - - __ 000 n : 6 ' -0.38 n : 5 - -0.54 n : 4 _ -0.35 n = 3 1.51 Imlzat'on "' , 0.00 n = 2 '340 1 4.56 h 1.5? g _ 2.48 f -2 58 e ' " -3.?1 d 41.95 c -5 52 b 5.?4 Ground Slam a n = 1 43.60 a 40.38 Energy Levels tor the Hydrogen Atom A Few Energy Levels [or the Mercury Atom Question 3 (4 points) A Frank-Hertz experiment was carried out with on Physicsium vapour in a chamber. The energies of the electrons sent into the chamber (Einputl and those coming out of the chamber (Eouputl were measured and the data is given below. Einput (eV) Eoutput (eV) 2.5 2.5 3.0 0.0 3.5 0.5 4.0 1.0 4.5 1.5 5.0 0, or 2.0 5.5 0.5, or 2.5 6.0 0.0, 1.0, or 3 6.5 0.0, 0.5, 1.5, or 3.5 7.0 0.5, 1.0, 2.0, or 4.0 a) Draw an energy level diagram for Physicsium. Assume that the ground state energy is zero. b) What wavelengths of light would you expect Physicsium to absorb? Show your work. c) If an electron in a Physicsium atom was excited to the fourth excitation state, how many possible wavelengths of light would be emitted as the electron fell to its ground state? Question 4 {1 point) Calculate the velocity (in m/s) of an electron that has a wavelength of (8.9120x10"-12) m. Note: Your answer is assumed to be reduced to the highest power possible. Your