In: Physics
A mass spectrometer is used to examine the isotopes of uranium.
Ions in the beam emerge from the velocity selector at a speed of
3.08 ✕ 105 m/s and enter a uniform magnetic field of
0.590 T directed perpendicularly to the velocity of the ions. What
is the distance between the impact points formed on the
photographic plate by singly charged ions of 235U and
238U?
cm
The centripetal force,
where , is the mass, is the velocity is the radius of curvature.
The magnetic field,
where is the charge of particle (here it is electron) is the magnetic field
is the angle between and = as the charge enters perpendicularly
That is
The distance between the impact points is ---------> eqn (1)
That is
Rearranging, or Substituting this on eqn (1)
Which gives,
Substitute the values for
(Charge of electron)
Difference between impact point
.................Answer