given-L1=44.2plusminus0.1 and
L2 =23.1plusminus0.1 the uncertainty inL1+L2 is
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scienceadvanced physicsadvanced physics questions and answersA) For Experiment 1, What Is The Percentage Uncertainty In L1, L2 And L3? For Example 10 ± ...
Question: A) For Experiment 1, What Is The Percentage Uncertainty In L1, L2 And L3? For Example 10 ± 1 Cm Would Correspond To An Uncertainty Of 10%. B) What Range Of λ Is Consistent With The Lengths Reported In The First Row Of The Table (Expt 1)? Remember That The Actual Lengths Could Be 0.2 Cm Longer Or Shorter Than Reported In The Table. C) Using Your Answer ...
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1. Experimental skills You are collecting data to find the wavelength of light, from an LED. The diffraction grating is a distance L1 from the collimating slit. You find the position of the diffracted image and draw lines on the white board. You measure the lengths L2 and L3. You are confident in you length measurements to within t0.2 cm. You repeat the experiment 3 times. For each replica of the experiment, you erase the lines on the white board, move the diffraction grating to a slightly different position, and find the new position of the image. Here are the final results: Expt 26 28.5 42.5 Exp 28 27.5 40.5 Exp 30 27 41
a) For experiment 1, what is the percentage uncertainty in L1, L2 and L3? For example 10 ± 1 cm would correspond to an uncertainty of 10%.
b) What range of λ is consistent with the lengths reported in the first row of the table (Expt 1)? Remember that the actual lengths could be 0.2 cm longer or shorter than reported in the table.
c) Using your answer to part b, express the uncertainty in λ as a percentage. How does this relate to the percentage uncertainties you found in part a?
d) What wavelengths are consistent with the numbers recorded in Expt 2 and 3?
e) Using the estimated wavelengths from experiment 1, 2 and 3 (i.e. three different numbers) calculate the standard deviation. It is possible that the accuracy of the ruler is not the only source of experimental uncertainty. For example, the 90-degree corner of the L2-L3 triangle might actually be 90 ±5 degree. Therefore, we want to compare the standard deviation seen across multiple experimental trials (part e) to the uncertainty that is expected in a single trail due to uncertainty in L1, L2 and L3.
f) Compare the standard deviation seen across multiple experimental trials (the standard deviation calculated in part e) to the uncertainty that is expected in a single trail due to uncertainty in L1, L2 and L3. Do you think that L1, L2 and L3 are the dominant source of “random noise” in the experiment, or should the experimenters look for other sources of “random noise” that are meddling with their experiment?
g) A different group of students designs their experiment so that all distances are twice as long. They measure L1 = 42 ±0.2 cm, L2 = 57 ±0.2 cm, L3 = 85 ±0.2 cm. What is the range of λ that is consistent with this group’s measurement? Give your answer as a percentage and compare to part c.