Suggested languages for you:

Americas

Europe

Q19P

Expert-verifiedFound in: Page 830

Book edition
10th Edition

Author(s)
David Halliday

Pages
1328 pages

ISBN
9781118230718

**A certain particle is sent into a uniform magnetic field, with the particle’s velocity vector perpendicular to the direction of the field. Figure 28-37 gives the period T of the particle’s motion versus the inverseof the field magnitude B. The vertical axis scale is set by**

The ratio *m*/*q *of the particle’s mass to the magnitude of its charge is .

Y axis scale is .

X axis scale is

Figure 28-37 is the graph of

**Use the concept of the period of the particle in a uniform magnetic field. Use the equation of period related to mass, charge, and magnetic field. Find the slope of the graph and plug it into****the ****equation. Rearranging the equation for ****, find this ratio.**

Formulae are as follows:

Where T is the time period, B is the magnetic field, m is mass, and q is the charge ofthe particle.

** **

Using the equation,

Rearranging it for ,

We have the value of ,

From the graph, find the slope

For the y-axis, one unit is , and for the x-axis, one unit is

Using this value in the above equation of ,

Hence, the ratio *m*/*q *of the particle’s mass to the magnitude of its charge is .

Therefore, by using the concept of the period of the particle in a uniform magnetic field and equations the ratio can be determined.

94% of StudySmarter users get better grades.

Sign up for free