Question

2.2 Doctor Crusher arrives at the new Enterprise Sick Bay and sees a brand new mass spectrometer has been installed. Captain Picard says the technicians did not get time to calibrate it, so Doctor Crusher will have to calibrate it herself. Commander LaForge provides Doctor Crusher with some antiprotons to test the mass spectrometer. Antiprotons have the same mass as a proton, but are negatively charged. Doctor Crusher sets the electric and magnetic fields such that the antiprotons leave the velocity selector at a speed of 3.0 x 10 m/s. The magnetic field, as viewed from overhead of the mass spectrometer is 0.40 Tesla pointing toward you, and the antiprotons are initially moving to the right within the velocity selector. If the magnetic field continues at the same magnitude and direction within the detection area, how long will it take to hit the sensor (it needs to make a semi-circle)? (10 points) As viewed from above, which direction will the antiproton initially deflect? (5 points) What is the voltage required in the velocity selector to select for the velocity stated? (5 extra credit points)

Answer 1

Antiproton in the particle hang the charge equal to e- & maso equal to proton. The radius of acharged particle inside the magnetic field is given ap!- R=mo qB and time beriod T=QTIR = 21h qB 7 time to complete half urce I= Tim 7TX 767x10-27 qB =0.21168 0-27 E 1.6*1519*04 mp= 1-67x 10 'kg. --es-6 X1519€ 194 part = 8:3x160 sec 2nd part: As it lo magnetic field to outside the plane of paper coming towardo you deflection By right hand thumb Rule force will be mdownward 0 direction but ap the charge in-zve so it willbe upward. Åntiprotm will deflect mi upward direction. Any 3rd part:- Now energy Como eration! Kmetic energy Workan on charge. by coltage 2

-27 1.67X 9810-15 mpus ev X106741 *206) 1,6x1019 v U = 3x106mio, 2 x 1-6 x 10-19 = 4.6968710 =47k v Amoi