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
where ,
is the mass,
is the velocity
is the radius of curvature.
where
is the charge of particle (here it is electron)
is the magnetic field
is the angle between
and
=
as the charge enters perpendicularly
The distance between the impact points is
---------> eqn (1)
Rearranging,
or
Substituting this on eqn (1)
Substitute the values for
Difference between impact point
.................Answer