The speeds of an electron and a proton have been measured to the same uncertainty. Which one has a larger uncertainty in position?A. The proton, because it’s more massive.B. The electron, because it’s less massive.C. The uncertainty in position is the same, because the uncertainty in velocity is the same.

The speeds of an electron and a proton have been measured to the same uncertainty. Which one has a larger uncertainty in position?A. The proton, because it’s more massive.B. The electron, because it’s less massive.C. The uncertainty in position is the same, because the uncertainty in velocity is the same.

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter1: Introduction: The Nature Of Science And Physics

Section: Chapter Questions

Problem 24PE: A marathon runner completes a 42.188-km course in 2 h, 30 min, and 12 s. There is an uncertainty of...

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A marathon runner completes a 42.188-km course in 2 h, 30 min, and 12 s. There is an uncertainty of 25 m in the distance traveled and an uncertainty of 1 s in the elapsed time. (a) Calculate the percent uncertainty in the distance. (b) Calculate the uncertainty in the elapsed time. (c) What is the average speed in meters per second? (d) What is the uncertainty in the average speed?
A proton is moving with a velocity of 1.5 × 10 m/s that has an uncertainty of 7.5 x 10³ m/s. What is the minimum uncertainty in position? a. 4.21 × 10-12 n nm b. 2.10 × 10-4 nm c. 0.004 nm d. 0.386 nm e. 7.72 nm
3. An electron is revolving around a proton in a circular orbit of radius r. The proton is assumed to be stationary. The total energy of this system is 1 e? E = 2m 4T€, r where p and m denote the momentum and mass of the electron, respectively. Take the radius r to be an estimate of the uncertainty in position Ar, and the uncertainty in momentum Ap to be an estimate of p. Suppose that ArAp= ħ when the system is in the ground state. Show that the ground state energy is given by 1 те4 E, = - 2 8h2 Give the numerical value for Ej in electronvolts. Discuss if your results are consistent with Bohr's model for the hydrogen atom.
HELP ME ASAP 1. The universe has a typical temperature of only 3.0 K. If the intensities of light of different frequencies follow a blackbody distribution, then which frequency of light does the universe give off most? 2. A new, extremely precise apparatus has measured momentum (y component) of a certain proton to be: 5 x 10-28 kg m/s with an uncertainty of only 2 x 10-29 kg m/s. If the y-position of the proton is also measured, approximately what is the lowest possible uncertainty with which this measurement can be made? 3. What electrical force does a Uranium nucleus (Z=92) exert on one of its inner electrons, located at a distance of 175 picometers (=1.75 x 10-10m) ?
2. An electron is revolving around a proton in a circular orbit of radius r. The proton is assumed to be stationary. The total energy of this system is p2 E = 2m 1 e2 4T€, r where p and m denote the momentum and mass of the electron, respectively. Take the radius r to be an estimate of the uncertainty in position Ar, and the uncertainty in momentum Ap to be an estimate of p. Suppose that ArAp = ħ when the system is in the ground state. Obtain the expression for the ground state energy E1, involving only m, e, ħ, and €o. Give the numerical value for E in electronvolts. Discuss if your results are consistent with Bohr's model for the hydrogen atom.
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