Question

(a) An oxygen-16 ion with a mass of 2.66×1026kg2.66 \times 10^{-26} \mathrm{kg} travels at 5.00×106m/s5.00 \times 10^{6} \mathrm{m} / \mathrm{s} perpendicular to a 1.20-T magnetic field, which makes it move in a circular arc with a 0.231-m radius. What positive charge is on the ion? (b) What is the ratio of this charge to the charge of an electron? (c) Discuss why the ratio found in (b) should be an integer.

Solution

Verified
Step 1
1 of 4

Strategy\textit{\textbf{Strategy}}:

Part (a):\textbf{Part (a):}

To get the charge of the oxygen-16 ion, we will use the equation r=mvqBr = \frac{mv}{qB} and solve it for qq where mm is the ion's mass.

q=mvrB=2.66×1026 kg×5×106 m/s0.231 m×1.2 T=4.8×1019 C\begin{align*} q = \frac{mv}{rB} = \frac{2.66 \times 10^{-26} \text{ kg} \times 5 \times 10^{6} \text{ m/s}}{0.231 \text{ m} \times 1.2 \text{ T}} = 4.8 \times 10^{-19} \text{ C} \end{align*}

Create an account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy
Continue with GoogleContinue with Facebook

Create an account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy
Continue with GoogleContinue with Facebook

Recommended textbook solutions

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics 4th Edition by Randall D. Knight

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

4th EditionISBN: 9780133942651 (5 more)Randall D. Knight
3,508 solutions
Mathematical Methods in the Physical Sciences 3rd Edition by Mary L. Boas

Mathematical Methods in the Physical Sciences

3rd EditionISBN: 9780471198260Mary L. Boas
3,355 solutions
Fundamentals of Physics 10th Edition by David Halliday, Jearl Walker, Robert Resnick

Fundamentals of Physics

10th EditionISBN: 9781118230718 (4 more)David Halliday, Jearl Walker, Robert Resnick
8,950 solutions
College Physics 1st Edition by Paul Peter Urone, Roger A Hinrichs

College Physics

1st EditionISBN: 9781938168000 (3 more)Paul Peter Urone, Roger A Hinrichs
3,169 solutions

More related questions

1/4

1/7