A mass spectrometer can separate ions according to their charges and masses. One simple design for such a device is show

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A mass spectrometer can separate ions according to their charges
and masses. One simple design for such a device is shown in the
figure below. Ions of mass m, charge q, and speed
v enter a region in which the magnetic field B is
constant and perpendicular to the plane. The ions then travel in a
circular arc and leave the spectrometer a distance
L = 2r
from their entry point. Consider a hypothetical mass
spectrometer used to study the isotopes of hydrogen. Find
r for H+, D+ (deuterium), and
T+ (tritium). (Assume each particle has an incoming
velocity v = 4.4 105 m/s and that
the magnetic field perpendicular to the plane is
B = 0.76 T.
Note: H+ contains 1 proton and no neutrons,
D+ contains 1 proton and 1 neutron, and T+
contains 1 proton and 2 neutrons.)
What is the radius for H+?
m
What is the radius for D+?
m

What is the radius for T+?
m