Problem #0166 Electricity & Magnetism Sub-menu Problem #0168 Chapters Chapters

437.

Problem 34.29 (RHK)

Ionisation measurements show that a particular nuclear particle carries a double charge and is moving with a speed of . It follows a circular path of radius 4.72 m in a magnetic field of 1.33 T. We have to find the mass of the particle and identify it.

Solution:             Click For PDF Version

For a relativistic charged particle, charge q, moving in a circular orbit, radius r, in magnetic field, B, its momentum, p, in terms of q, B, and r is

In our problem

Therefore,

For a relativistic particle

Speed of the particle

Therefore, the mass of the charged particle is

In units of mass of a proton, the mass of the charged particle of charge is

Therefore, the nuclear particle is an alpha particle.