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### College Physics (Urone)

Book edition 1st Edition
Author(s) Paul Peter Urone
Pages 1272 pages
ISBN 9781938168000

# Which of the particles in Figure 12.47 has the greatest velocity, assuming they have identical charges and masses?

From the diagram, the 'a' particle has a greater radius and a quicker velocity than the 'b' particle.

See the step by step solution

## Step 1: Definition of charged particle

A charged particle is a particle with an electric charge in physics. It could be an ion, such as a molecule or atom having an excess or shortage of electrons in comparison to protons. It might also be an electron, proton, or other elementary particle, all of which are thought to have the same charge.

## Step 2: Finding the signs of the charges on the particles

The magnetic force can provide centripetal force, causing a charged particle to move in a circular path with a radius of $$R$$.

$$\begin{array}{l}{\rm{R = }}\frac{{{\rm{mv}}}}{{{\rm{qB}}}}\\{\rm{R}} \propto {\rm{v}}\end{array}$$

That is, charge and mass are identical at the same magnetic field.

Therefore, the 'a' particle has a larger radius and a faster velocity than the 'b' particle, as seen in the diagram.