A limitation on how many spectra per second can be recorded by a time-of-flight mass spectrometer is the time it takes the slowest ion to go from the source to the detector. Suppose we want to scan up to m/z 500 for ions with z = 1. Calculate the speed of this heaviest ion if it is accelerated through 5.00 kV in the source. How long would it take to drift 2.00 m through a spectrometer? At what frequency could you record spectra if a new extraction cycle were begun each time the heaviest ion reached the detector? What would be the frequency if you wanted to scan up to m/z 1000?

The electronic structure of atoms and molecules may be investigated using photoelectron spectroscopy. An electron in a photoelectron spectrometer is accelerated from rest by a uniform electric field to a speed of 420 km s−1 in 10 µs. Determine the kinetic energy of the electron?     a. 8.0 x 10-20 N.m       b.  1.6 x 10-25 N.m       c. 3.8 x 10-25 N.m       d. 4..0 x 10-2 N.m

Suppose a cyclotron is operated at an oscillator frequency of 11.2 MHz and has a dee radius 41.9 cm. Estimate the total path length traveled by a deuteron in the cyclotron during the (entire) acceleration process. Assume that the accelerating potential between the dees is 60.4 kV. The deuteron mass is m = 3.34 × 10-27 kg.

Electrons enter a magnetic field traveling at v, = vỹ. The constant, uniform magnetic field B = 0.75 2 T acts as a filter curving the electrons to a small gap that only allows specific electron energies. The source of electrons enters the filter as a beam that is 15 micrometers in diameter and have a range of energies from 5-25 meV. The filter redirects the beam, as pictured, to the right v = và but does not speed them up. If the filter is to further narrow the range of energies from 5-25 meV to 10-12 meV, find the dimensions of the gap. In the picture, calculate ymin and ymer, both of which can be assumed to be equal to the radius of the paths taken within the magnetic field. %3D The beam being focused to 15 um at the start can be assumed to be a point source and take circular paths within the magnetic field. Outgoing "Filtered" Electrons Blocked Electrons -不: Y Vma Incoming Electrons

A 40.4-MeV proton moves in the horizontal plane in a region of vertically-directed magnetic field. Find the magnetic field magnitude if the proton experiences a 55.4 pN magnetic force.