List two examples of scenarios where it is crucial that the level of uncertainty in an experiment must be as small as possible
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: List two examples of scenarios where it is crucial that the level of uncertainty in an experiment must be as small as possible.
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- Using propagation of error analysis, derive the expression for the uncertainty in μk.An experiment subject only to random fluctuation within a normal distribution collects the following set of unitless numerical values: 15.8, 17.8, 19.5, 20.0, 14.7, 16.6, 16.8, 19.4, 18.3 A number of hypotheses are put forward for the theoretical value of what is measured here. Select all of the theoretical values given below that can be ruled out by our usual 1-sigma uncertainty criterion. 15.6 15.9 19.5 V 19.7The figure, shows the dot and whisker plot of measured values and uncertainties from Group A and Group B for the same experiment assigned for both groups. What can be said about the data? Uncertainty bars of Group A and Group B -A -B 1 1.2 1.4 1.6 1.8 More investigation is needed to conclude Most likely they agree with each other Most likely they don't agree with each other One has larger uncertainty the other
- The speed of a proton is measured to within an uncertainty of 1 × 103m/s. Calculate the length of the smallest region of space in which the electron can be confined.If the speed of an electron is measured to within an uncertainty of 2.0×10 4 m/s, what wouldbe the size of the smallest region of space in which the electron can be confined? me = 9.11×10 -31kg.The range of an experimental result is 12 – 18. If these numbers represent the minimum and maximum reading as well, what is the mean experimental result and the uncertainty?
- A nucleon (proton or neutron) is confined to a region of space (the nucleus) approximately 10 fm across. Assuming the momentum of a nucleon is roughly equal to the uncertainty in its momentum, estimate the nucleon's kinetic energy. Does this seem like a reasonable result?A 4.0 mg insect is observed to be stationary with an uncertainty of 0.1 mm. What is the uncer- tainty in the insect's velocity?Uncertainty Principles 2. (a) Determine the velocity of a bullet measured at 100 m/s, ± 0.001 m/s. If the mass of the bullet is 20g, determine the uncertainty in the bullet's position in meters. (b) Is the uncertainty in position significant in this case.
- Initial Height H. Final neight H.The velocity of a proton in an accelerator is known to an accuracy of 0.250% of the speed of light. What is the smallest possible uncertainty in its position in meters?The figure, shows the dot and whisker plot of measured value and uncertainties from Group A and Group B for a same experiment assigned for both groups. Which group did better job on collecting data provided they are using same equipment? Uncertainty bars of Group A and Group B 1 1.2 1.4 1.6 1.8 Group B, because the uncertainty on their data is largest Group A, because the uncertainty on their data is largest Group A, because the uncertainty on their data is smallest Group B, because the uncertainty on their data is smallest More information is needed to compare quality of the data