Answered: You measure the charge-to-mass ratio…

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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Y&F 27.51

You measure the charge-to-mass ratio q/m for a particle with positive charge in the following way: The particle starts from rest, is accelerated through a potential difference ΔV, and attains a velocity with magnitude v. It then enters a region of uniform magnetic field B=0.200 T that is directed perpendicular to the velocity; the particle moves in a path that is an arc of a circle of radius R. You measure R as a function of ΔV. You plot your data as R2 (in units of m^2) versus ΔV (in V) and find that the values lie close to a straight line that has slope 1.04×10−6 m2/V. What is the value of q/m for this particle?

Expert Solution

Step 1

Slop of graph $\frac{R^{2}}{Δ V}$ = 1.04 × 10^-6 m2/v

Magnetic field B = 0.2 T

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