**Title: Proton Motion in Magnetic Field**A proton, with a charge $ Q = 1.602 \times 10^{-19} $ Coulombs, has an initial velocity as shown below with a magnitude of $ v = 2.0 \times 10^7 $ m/s. Take the proton mass to be $ M = 1.67 \times 10^{-27} $ kg. The proton moves in the presence of a 4.0 Tesla uniform magnetic field, going into the page, with a velocity always perpendicular to the magnetic field.**Diagram Explanation:**- A series of "X"s represent the magnetic field going into the page.- A circular path indicates the trajectory of the proton.- A "+" denotes the position of the proton, moving perpendicular to the magnetic field shown by an arrow (rightward).**Proton Velocity in Relation to Magnetic Field**a. **Sketch:** On the figure, the subsequent (circular) path followed by the proton is shown.b. **Calculate the Radius:** Formula: \[ R = \frac{mv}{QB} \] Substitution: \[ R = \frac{(1.67 \times 10^{-27})(2 \times 10^7)}{(1.602 \times 10^{-19})(4)} \] Result: \[ R = 5.1 \times 10^{-8} \, \text{m} \]c. **Calculate the Frequency of Orbits:** Formula: \[ f = \frac{QB}{2\pi M} \] Substitution: \[ f = \frac{(1.602 \times 10^{-19})(4)}{2\pi(1.67 \times 10^{-27})} \] Result: \[ f = 1.60 \times 10^{-55} \, \text{sec}^{-1} \]*Note: Mistaken rounding in scientific notation. Modify as necessary.*

A proton, with a charge Q = 1.602 x 10-19 Coulombs has an initial velocity as shown below with a magnitude of v = The proton moves in the presence of a 4.0 Tesla uniform magnetic field going into the page, with a velocity always perpendicular to the magnetic field. %3D 2.0 x 10' m/s. Take the proton mass to be M = 1.67 × 10-27 kg.

A proton, with a charge Q = 1.602 x 10-19 Coulombs has an initial velocity as shown below with a magnitude of v = The proton moves in the presence of a 4.0 Tesla uniform magnetic field going into the page, with a velocity always perpendicular to the magnetic field. %3D 2.0 x 10' m/s. Take the proton mass to be M = 1.67 × 10-27 kg.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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