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Q12CQ

Expert-verifiedFound in: Page 809

Book edition
1st Edition

Author(s)
Paul Peter Urone

Pages
1272 pages

ISBN
9781938168000

**Which of the particles in Figure 22.47 has the greatest mass, assuming all have identical charges and velocities?**

The particles ‘a’ in the figure has the greatest mass, assuming all have identical charges and velocities.

**The magnetic force is always applicable on the moving charge and can be expressed as, **

**Where q and v are the charge and velocity of the charged particle and B is the applied magnetic field.**

Charged particles move in a circular motion as a result of magnetic force, which is known as centripetal force, and the radius of the circular motion can be given as,

$\mathrm{r}\left(\begin{array}{c}\mathrm{mv}\\ \mathrm{qB}\end{array}\right)$

Where m is the mass of the charged particle.

If we keep the other parameters constant except mass, we can write that,

$\mathrm{r}\infty \mathrm{m}$

Therefore, the particle with a higher radius will have the greatest mass, and we can see from the above figure that the particle with a higher radius is ‘a’.

Therefore, the particel with the greatest mass is a.

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