Question

In a mass spectrometer, a beam of charged particles of unknown mass are injected into a region of space where a magnetic field is directed perpendicular to the particles' velocity Typically, the velocity of the particle beam has already been determined through the use of a velocity selector. In this simulation, the beam is comprised of a pair of singly ionized isotopes of the same element. V=5000 m/s 4000 sdoo 6000 Isotopes 2cc Ne. Ne C. Unknown B=5.0 mm Show radii run reset Question 1: Trajectory Will the trajectories of the two isotopes be the same or different?

Answer 1

The radius of curvature

$r = \frac{m.V}{q.B}$

where m is the mass , V is the velocity , q is the charge , B is the magnetic field streghth

1. The isotopes differ by masses ,

as the radius of curvature depends upon mass inversely .so the higher isotopes will have lower radius of curvature.

2. Doubling of magnetic field.

as mangetic field is inversely proportional to the radius of curvature

so The radius will be halfed if the magetic field is doubled.

3. Doubling the velocity  

as velocity is directly proportional to the radius of curvature

so , The radius will be doubled

4. The relation between the radius , velocity and magentic field is

The radius of curvature

$r = \frac{m.V}{q.B}$