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?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter31: Particle Physics
Section: Chapter Questions
Problem 52P
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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 R2ΔV= 1.04 × 10-6 m2/v

Magnetic field B = 0.2 T

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