For the final result of your experiment you will need to estimate the uncertainty of your final measurement due to the variations of the parameters you measured in the lab. The following exercise is not tied directly to the final quantity you will be measuring in the lab, but should help you adopt the ideas to your own analysis. It can be shown that for an ion moving in a uniform magnetic field B the expressions for q/m (the ratio of the ion's charge to its mass) is 125R²V 32N²²22 The relative error of q/m due to all of the parameters measured in the lab can be written as (make sure you understand how this expression is derived): (0g/m)²= (ov)²³+ (20¹)²+ (202)² + (201)² Term # 1 2 3 4 Assume your mean measurements of voltage were V = 408 ± 1V, current I = 2.36±0.01A, coils radius R = 14.3 ± 0.2cm, and curvature of the ion trajectory r = 7.2 ± 0.3cm. What are the numerical values of each term in formula of the relative uncertainty above? (HINT: consult your last semester's Lab Manual to refresh the formulas) Term 1 = 0.601 Term 2 = 7.2 Term 3 = 78.2 Term 4 694.4 x 10-5 x 10-5 q/m= x 10-5 x 10-5
For the final result of your experiment you will need to estimate the uncertainty of your final measurement due to the variations of the parameters you measured in the lab. The following exercise is not tied directly to the final quantity you will be measuring in the lab, but should help you adopt the ideas to your own analysis. It can be shown that for an ion moving in a uniform magnetic field B the expressions for q/m (the ratio of the ion's charge to its mass) is 125R²V 32N²²22 The relative error of q/m due to all of the parameters measured in the lab can be written as (make sure you understand how this expression is derived): (0g/m)²= (ov)²³+ (20¹)²+ (202)² + (201)² Term # 1 2 3 4 Assume your mean measurements of voltage were V = 408 ± 1V, current I = 2.36±0.01A, coils radius R = 14.3 ± 0.2cm, and curvature of the ion trajectory r = 7.2 ± 0.3cm. What are the numerical values of each term in formula of the relative uncertainty above? (HINT: consult your last semester's Lab Manual to refresh the formulas) Term 1 = 0.601 Term 2 = 7.2 Term 3 = 78.2 Term 4 694.4 x 10-5 x 10-5 q/m= x 10-5 x 10-5
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)...
Related questions
Question
Look at the numbers above and, assuming that the final relative error needs to be reported as rounded to the nearest integer, make a time saving, intelligent decision on how many terms to keep in your final answer and write the value below. (HINT: values that are smaller by factor of x10 or more generally will not contribute to the final result) ?q/m q/m = Incorrect: Your answer is incorrect. %
Transcribed Image Text:For the final result of your experiment you will need to estimate the uncertainty of your final measurement due to the variations of the parameters you measured in the lab. The following exercise is
not tied directly to the final quantity you will be measuring in the lab, but should help you adopt the ideas to your own analysis.
It can be shown that for an ion moving in a uniform magnetic field B the expressions for q/m (the ratio of the ion's charge to its mass) is
125R²V
32N²μ²1²₁²
The relative error of q/m due to all of the parameters measured in the lab can be written as (make sure you understand how this expression is derived):
2
2
0g/m)²= (ov)²+ (207)²+ (202)² + (207)³²
Term #
4
Term 1 = 0.601
Term 2 = 7.2
1
Assume your mean measurements of voltage were V = 408 ± 1V, current I = 2.36 ± 0.01A, coils radius R = 14.3 ± 0.2cm, and curvature of the ion trajectory r = 7.2 ± 0.3cm.
What are the numerical values of each term in formula of the relative uncertainty above?
(HINT: consult your last semester's Lab Manual to refresh the formulas)
Term 3 = 78.2
2
Term 4 = 694.4
x 10-5
x 10-5
3
x 10-5
q/m=-
x 10-5
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Recommended textbooks for you
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON