3. Do percent error and percent difference give indications of accuracy or precision? Discuss each. 4: Suppose you were the first to measure the value of some physical constant experimentally. How would you provide an estimate of the experimental uncertainty?
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- 1. The following data are the measurements of the dimensions of a box: l = 8.6 ± 0.5 cm h = 20.19 ± 0.01 mm w = 0.75 ± .02 mHow should the volume of the box be reported (central value ± uncertainty) incm3? Show solution.2. If the accepted value of the volume of the box in the previous question is 1300 cm3, is the measurement acceptable? Explain.Select one entry for each blank from the corresponding four choices. 1. ______________ errors may be avoided by ensuring that the tools that are used in the experiment are properly calibrated. 2. ______________ errors can be minimized by conducting many trials. a. 1. systematic 2.random b. 1. random 2.systematic c. 1. random 2.personal d. 1. standard 2. systematicQuestion 8 A student obtains a set of measurements for the mass, and size (length, width and height) of a iron anvil. They then compared their results with the known value for the anvil. They find that their results were off by about 20%. The student then repeats the measurements multiple times, average all of the results and find that now their results are only off by about 2%. In this case, which of the follow statements best describes the experimental uncertainty? Systematic uncertainty Random uncertainty Human error O Broken equipment Question 9 The same student obtains a new set of measurements for the mass, and size (length, width and height) of a different iron anvil and compared their results with the known value for that anvil. They find that their new results were off, again, by about 20%. The student then repeats the measurements multiple times, average all of the results and find that their results are STILL off by the same amount. In this case, which of the follow…
- Question 8 A student obtains a set of measurements for the mass, and size (length, width and height) of a iron anvil. They then compared their results with the known value for the anvil. They find that their results were off by about 20%. The student then repeats the measurements multiple times, average all of the results and find that now their results are only off by about 2%. In this case, which of the follow statements best describes the experimental uncertainty? Human error Broken equipment Random uncertainty Systematic uncertainty Question 9 The same student obtains a new set of measurements for the mass, and size (length, width and height) of a different iron anvil and compared their results with the known value for that anvil. They find that their new results were off, again, by about 20%. The student then repeats the measurements multiple times, average all of the results and find that their results are STILL off by the same amount. In this case, which of the follow statements…1. How do we report measurement? 2. How do we determine the best estimate in a single trial experiment and in a multiple trial experiment? 3. How do we determine the uncertainty in a single trial experiment and in a multiple trial experiment?If the number of significant figures is 6, what is the value of the pre-specified Error(?s) Select one: O a 0.000005% O b. 0.0005% O c. 0.005% ০ d 0.00005%
- 4. How do we determine the accuracy and precision of a measurement? What does the uncertainty of relate to accuracy and precision? 5. What considerations should we make when choosing the measuring device to use in an experiment?What is the difference between accuracy and precision? Explain 2. Calculate the volume and percent error/uncertainty in the volume of a rectangular sample block of length 13.51 ±0.05 cm, width 6.23 ±0.02 cm, and thickness of 1.76±0.02 cm. 3. Calculate the mass density and uncertainty in the mass density of the sample block. Mass of the block is 289± 1gr. 1.An equation predicts the relation between x and y as T2 = k. L The measurement between T and L are given as 3 2.6 5 7.2 8 18.0 Find the slope k of the best fitted line of a plot between T2 and L from the following data. All numbers have no units. Answer to two decimal places. Note that the fitted line should pass through the origin,.
- State the number of significant digits and the implied precision of the given number. The number 1.928×10^4 has........ significant digits (type a whole number) B. What is the implied precision of the number 1.928×10^4 s? A. The number is precise to the nearest hundred seconds B. The number is precise to the nearest second. C. The number is precise to the nearest ten secondsThree students, Tom, Sally and Kevin, did an experiment where the accepted size of nano-particles of calcium-tin-oxide is 105.0 nm. Their findings are given in the table below. Whose measurement is most precise, and whose is most accurate? Note that measurement is done in nanometers (nm). Kevin (nm) Sally (nm) 107.0 Trial No. Tom (nm) 1. 103.7 107.7 2. 105.6 101.1 107.5 3. 106.9 105.4 107.9 Mean 105.4 104.5 107.7 None of the given options Tom's measurement is most precise, and Kelly's measurement is most accurate. Sally's measurement is most precise, and Kelly's measurement is most accurate. Kevin's measurement is most precise, and Tom's measurement is most accuratey1 = sin(pi(x) - 2(pi)(t))......y2 = sin(pi(x)/2 + 2(pi)(t))