University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 23 - Electric Potential - Problems - Exercises - Page 780: 23.49

Answer

To accelerate the alpha particle, the potential should be $4.16 \times 10^{6} \mathrm{V}$

Work Step by Step

The potenatial difference that accelrates the alpha particle could be found by knowing the distance. The distance here will be $r = d+R$ where $R$ is the radius of the nucleus and $d$ is the distance outside the nucleus, $r$ is the distance between the center of the nucleus and alpha particle \begin{align} V & = \frac{1}{4 \pi \epsilon_{0}} \frac{Q}{(r)} \\ & =\frac{1}{4 \pi \epsilon_{0}} \frac{Q}{(R+d)} \\ &=\left(9.0 \times 10^{9} \mathrm{N} \cdot \mathrm{m}^{2} / \mathrm{C}^{2}\right)\left(\frac{79 \times 1.6 \times 10^{-19} \mathrm{C}}{7.3 \times 10^{-15} \mathrm{m}+2.0 \times 10^{-14} \mathrm{m}}\right) \\ &=\boxed{ 4.16 \times 10^{6} \mathrm{V}} \end{align}
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.