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Physics 30: Assignment 13 1 /52 ASSIGNMENT 13 | Part One: Cathode Rays and Thomson's Experiment 1. What was the evidence that the cathode rays were particles with charge and mass? (2 marks) 2. What is the charge to mass ratio of a particle travelling 3.60 x 10% m/s that is deflected in radius 7.40 cm as it travels through a magnetic field of 0.610 T? (3 marks) 3. Some positively charged particles passed un-deflected through perpendicular magnetic and electric fields. If the magnetic field strength was 0.650 T and the electric field strength was 2.10 x 10 N/C, what was the speed of the particles? (3 marks) Physics 30: Assignment 13 4. Alpha particles travel through a magnetic field of 0.360 T and are deflected in a radius of 0.0820 m. Assuming the alpha particles are travelling perpendicular to the field, what is the kinetic energy of an individual alpha particle? (3 marks) 6. Using the charge of an electron (determined by Millikan in another experiment to be 1.60 x 10"% C) and the charge to mass ratio of the electron (determined by Thomson to be 1.76 x 10" Cikg), calculate the mass of an electron. (3 marks) . A particle accelerated by a potential difference enters a velocity selector which consists of perpendicular magnetic and electric fields. The particle travels straight when the magnetic field is 0.400 T and the electric field is 6.30 = 10 Vim. Once the electric field is tumed off, a sensor determines that the radius or the particle's path is 4.11 cm. a. What is the charge-to-mass ratio of this particle? (3 marks) b. Calculate the charge-to-mass ratio of an alpha particle, electron and proton. Identify the particles used in the experiment from the calculations. Hint: check your data booklet for the charges and masses. (4 marks) Physics 30: Assignment 13 3 7. [Ifyou have not already done so, review the \"Then, Now, and the Future: The Mass Spectrometer\" section on page 759 of your physics textbook. Based on your understanding of mass spectrometers, answer the three following questions. a. A uniform magnetic field in the detection chamber of a mass spectrometer causes ions to travel im a circular path. Create an equation for the radius of the path. (1 mark) b. How iz the radius of the path an ion makes in a detection chamber affected by the ion's mass? (1 mark) c. Explain how a mass spectrometer is used to determine if a professional baseball player used an illegal performance-boosting substance. (2 marks)