The mass of an ion can be determined by measuring its cyclotron frequency in a strong magnetic field. The cyclotron frequency of ion X+ (with charge q=1.6×10−19Cq=1.6×10-19C is measured to be 2.3 MHz in a 1.8 T magnetic field. What is the mass of ion X+ in atomic mass units? Note: one atomic mass unit is 1 amu = 1.66×10-27 kg.)

At the Fermilab accelerator in Weston, Illinois, singly charged ions with momentum 3.3 × 10−16 kg m/s are held in a circular orbit of radius 1.00 km by an upward magnetic field. What B field must be used to maintain the ions in this orbit? (qion = 1.60 × 10−19 C)

An electron moves in an uniform magnetic field (with the orbital plane perpendicular to the field). If the cylotron radius of the electron is 60 cm and it's kinetic energy is 9.6 keV, find the electron's speed, the magnitude of the magnetic field, the cyclotron frequency, and the period of the motion. Use me=9.11×10−31me=9.11×10-31 kg, e=1.6×10−19e=1.6×10-19 C, and 1 T = 104 G. The speed, v =  Units             Correct . The magnetic field, B =  Units              . The cyclotron frequency, f =  Units             Correct . The period, T =  Units             Correct .

An alpha particle with velocity v = (3 x 105,0,0) m/s enters a region where the magnetic field has a value B = (0,0,1.2) T. Determine the required magnitude and direction of an electric field E that will allow the alpha particle to continue to move along the x axis.

A charged particle is injected at 121 m/s into a 0.0721-T uniform magnetic field perpendicularly to the field. The diameter of its orbit is measured and found to be 0.0491 m. What is the charge-to-mass ratio of this particle? charge-to-mass ratio: C/kg

Atomic masses 12C 14N 160 12.000 u 14.003 u 15.995 u -19 To five significant figures, what is the cyclotron frequency in a 3.0000 T magnetic field of the ion O₂? The atomic masses are shown in the table; the mass of the missing electron is less than 0.001 u and is not relevant at this level of precision. Use the following constants: 1 u = 1.6605 × 10−27 kg, e = 1.6022 × 10¯ C. Express your answer with the appropriate units. ► View Available Hint(s) fo Submit Part B X Incorrect; Try Again; 14 attempts remaining fN₂ = Value Submit Previous Answers To five significant figures, what is the cyclotron frequency in a 3.0000 T magnetic field of the ion N₂ ? Express your answer with the appropriate units. ► View Available Hint(s) Part C Units Value Units ? Review Although N+ and CO+ both have a nominal molecular mass of 28, they are easily distinguished by virtue of their slightly different cyclotron frequencies. To five significant figures, what is the cyclotron frequency in a 3.0000 T…

The Bainbridge spectrometer works by ionizing particles, sending them through a velocity selector, and then detecting a given charge-to-mass ratio based on its trajectory in a uniform magnetic field (See Ch 11.7 in your book). Suppose your spectrometer works by altering the electric field of the velocity selector to scan for ions. If a singly-charged ion of mass 140.9 amu required an electric field of 1.9 N/C, what electric field would be necessary to detect a doubly-charged ion of mass 161.9? Give your answer in units of N/C.

A 3.5 mC charge moves with a speed of 10,000 m/s in a magnetic field of 0.5 T. How much force is exerted on the charge?