Error Wavelength
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a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this percent error formula site About Us Learn more about Stack Overflow the company Business Learn more percent error calculator about hiring developers or posting ads with us Physics Questions Tags Users Badges Unanswered Ask Question _ Physics percent error chemistry Stack Exchange is a question and answer site for active researchers, academics and students of physics. Join them; it only takes a minute: Sign up Here's how it works: Anybody can percent error definition ask a question Anybody can answer The best answers are voted up and rise to the top Error propagation from frequency to wavelength up vote 0 down vote favorite I have measured a value for a frequency of $1.07 \times 10^{10} \pm 5 \times 10^7) \text{ Hz}$. Obviously it is very simple to find the wavelength from this frequency value, which I have
Can Percent Error Be Negative
(using $c=2.9979 \times 10^8$). However I am lost as to finding the error for the wavelength. The values I keep calculating for the error keep coming out as 2 orders of magnitude or more from the wavelength, which is very counter-intuitive. Please help! homework-and-exercises frequency error-analysis wavelength share|cite|improve this question edited Dec 7 '14 at 18:31 Qmechanic♦ 64.2k991242 asked Dec 7 '14 at 17:52 Alex Wilkins 161 add a comment| 1 Answer 1 active oldest votes up vote 1 down vote if error in wavelength is $\delta \lambda$ and error in frequency is $\delta f$ then $${\delta f \over f} = {\delta \lambda \over \lambda}$$ so $${\delta \lambda } = \lambda {\delta f \over f}$$ The formula above should give you something more reasonable for the error in the wavelength. More generally if $$ X=kA^n$$ where k is a perfectly known constant $$ \delta X= X ~|n|{\delta A \over A}$$ share|cite|improve this answer edited Dec 7 '14 at 18:10 answered Dec 7 '14 at 18:04 tom 5,3101124 add a comment| Your Answer draft saved draft discarded Sign up or log in Sign up using
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Negative Percent Error
the Stars Tutorials Aligning and Animating Images Coordinates in MaxIm Fits Header Graphing what is a good percent error in Maxim Image Calibration in Maxim Importing Images into MaxIm Importing Images into Rspec Measuring Magnitude in Maxim Observing with experimental error formula Rigel Photometry in Maxim Producing Color Images Stacking Images Using SpectraSuite Software Using Tablet Applications Using the Rise and Set Calculator on Rigel Wavelength Calibration in Rspec Glossary Kepler's Third Law Significant http://physics.stackexchange.com/questions/151035/error-propagation-from-frequency-to-wavelength Figures Percent Error Formula Small-Angle Formula Stellar Parallax Finder Chart Iowa Robotic Telescope Sidebar[Skip] Glossary Index Kepler's Third LawSignificant FiguresPercent Error FormulaSmall-Angle FormulaStellar ParallaxFinder Chart Percent Error Formula When you calculate results that are aiming for known values, the percent error formula is useful tool for determining the precision of your calculations. The formula is given by: The experimental value is your calculated value, and the http://astro.physics.uiowa.edu/ITU/glossary/percent-error-formula/ theoretical value is your known value. A percentage very close to zero means you are very close to your targeted value, which is good. It is always necessary to understand the cause of the error, such as whether it is due to the imprecision of your equipment, your own estimations, or a mistake in your experiment.Example: The 17th century Danish astronomer, Ole Rømer, observed that the periods of the satellites of Jupiter would appear to fluctuate depending on the distance of Jupiter from Earth. The further away Jupiter was, the longer the satellites would take to appear from behind the planet. In 1676, he determined that this phenomenon was due to the fact that the speed of light was finite, and subsequently estimated its velocity to be approximately 220,000 km/s. The current accepted value of the speed of light is almost 299,800 km/s. What was the percent error of Rømer's estimate?Solution:experimental value = 220,000 km/s = 2.2 x 108 m/stheoretical value = 299,800 km/s 2.998 x 108 m/s So Rømer was quite a bit off by our standards today, but considering he came up with this estimate at a time when a majority of respected astronomers, l
Help Suggestions Send Feedback Answers Home All Categories Arts & Humanities Beauty & Style Business & Finance Cars & Transportation Computers & Internet Consumer Electronics Dining Out Education & Reference Entertainment & Music Environment Family & Relationships Food & Drink Games & Recreation Health Home & https://answers.yahoo.com/question/?qid=20090928083737AAIIC7Z Garden Local Businesses News & Events Pets Politics & Government Pregnancy & http://www.scienceteacherprogram.org/physics/Firdaus06.html Parenting Science & Mathematics Social Science Society & Culture Sports Travel Yahoo Products International Argentina Australia Brazil Canada France Germany India Indonesia Italy Malaysia Mexico New Zealand Philippines Quebec Singapore Taiwan Hong Kong Spain Thailand UK & Ireland Vietnam Espanol About About Answers Community Guidelines Leaderboard Knowledge percent error Partners Points & Levels Blog Safety Tips Science & Mathematics Mathematics Next How do I find the error in my experiment? (Wavelength measurement of microwaves)? In this experiment I found the wavelength of some microwaves from an ordinary klystron using three methods: 1. generating a standing wave and measuring the location of intensity peaks (which would occur at every 1/2 percent error formula wavelength) 2. Using a double slit setup and measuring the angles of deflection 3. Using a... show more In this experiment I found the wavelength of some microwaves from an ordinary klystron using three methods: 1. generating a standing wave and measuring the location of intensity peaks (which would occur at every 1/2 wavelength) 2. Using a double slit setup and measuring the angles of deflection 3. Using a Michelson interferometer each of the methods got me similar results in which the mean wavelength was 2.81 cm and the standard deviation about .10 Of course, because there is no "accepted value" in this experiment the old (measured - accepted) / accepted * 100 thing doesn't work...that's middle school stuff and I'm tired of people trying to give me that as an answer. I realize that the standard deviation can be used, but how do I relate the data given (Ï and µ) to the percent error? Follow 1 answer 1 Report Abuse Are you sure you want to delete this answer? Yes No Sorry, something has gone wr
of light 2. Objectives Physics -- Grades 9-12 Alignment with National Science Education Standards (National Academy Press, 2001): · To comprehend the relationship between the frequency and wavelength of light [Teaching Standard 9-12A Teaching and assessment strategies, Development of student understanding] · Orally predict and physically verify the relationship between the frequency and wavelength of light [Content Standard 9-12A- Scientific inquiry] · Complete a design task as part of a structured cooperative team [Teaching Standard E- Nurture collaboration among students] · Create a setting for student work that is flexible and supportive of scientific inquiry [Teaching Standard D- Provide students with the time, space, and resources for learning science] · [Teaching Standard C- Engage in ongoing assessment of student learning] · [Teaching Standard E- Require students to take responsibility for the learning of all members of the community] · [Assessment Standard B- Achievement and opportunity to learn science must be assessed] 3. Background Knowledge Students should have already learned: · The fundamental concepts of frequency () and wavelength (λ) of light · Speed of light in vacuum, c= 3.00 x 108 m/s · C (m/s) = (Hz) λ (m) 4. Materials Spectrometer Fluorescent light (FL) Calculator Electromagnetic spectrum chart for different wavelengths 5. Procedure Make groups of four heterogeneous students. Assign them the following roles: material manager, observer, recorder, and timekeeper. · Turn on the fluorescent light. Using a spectrometer look at the spectrum of fluorescent light. Determine the wavelength at the center of the bright band of each color, reading the scale to the nearest tenth. · Calculate the percentage error (P.E) for wavelength of each color by comparing calculated values to the original values that are given in the spectrum chart. Formula, P.E = original value (m) - calculated value (m)/ original value (m) · Record your observations in the following table: Color of fluorescent light (FL) Spectrometer reading (near-est tenth) of wavelength (λ) (nm) FL wavelength (λ) x 100 (nm) FL Wavelength (λ) (m) Frequency (Hz) = c / λ Percentage error (P.E) (m) Red Orange Yellow Green Blue Violet 6. Discussion and Assessment Teacher will facilitate the the discussion by walking around and asking some key questions in the groups. For instance, Q. Why does the calculated value differ from the original value? Q. What happens to the frequency () of light when wavelength (λ) decreases? Q. Why do you see different color