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COLLEGE PHYSICS,V.2
11th Edition
ISBN: 9781305965522
Author: SERWAY
Publisher: CENGAGE L
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Question
Chapter 27, Problem 38P
(a)
To determine
The minimum uncertainty in the x-component of the velocity of the electron.
(b)
To determine
The minimum uncertainty in the x-component of the velocity of the proton.
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Students have asked these similar questions
In a nonrelativistic experiment, an electron and a proton are
each located along the x-axis to within an uncertainty of 2.50 um.
Determine the minimum uncertainty in the x-component of
the velocity of (a) the electron, and (b) the proton.
In a nonrelativistic experiment, an electron and a proton are each located along the x-axis to within an uncertainty of 4.80 µm.
Determine the minimum uncertainty in the x-component of the velocity of the electron and the proton. (Enter your answers in m/s.)
HINT
(a) the electron
m/s
(b) the proton
m/s
The speed of an electron is measured to be 5.00 × 103 m/s to an accuracy of 0.003 00%. Find the minimum uncertainty in determining the position of this electron.
Chapter 27 Solutions
COLLEGE PHYSICS,V.2
Ch. 27.5 - Prob. 27.1QQCh. 27.5 - Prob. 27.2QQCh. 27.5 - Prob. 27.3QQCh. 27.6 - Prob. 27.4QQCh. 27.6 - Prob. 27.5QQCh. 27 - Prob. 1CQCh. 27 - Prob. 2CQCh. 27 - Prob. 3CQCh. 27 - Prob. 4CQCh. 27 - Prob. 5CQ
Ch. 27 - Prob. 6CQCh. 27 - Prob. 7CQCh. 27 - Prob. 8CQCh. 27 - Prob. 9CQCh. 27 - Prob. 10CQCh. 27 - Prob. 11CQCh. 27 - Prob. 12CQCh. 27 - Prob. 13CQCh. 27 - Prob. 14CQCh. 27 - Prob. 15CQCh. 27 - Prob. 16CQCh. 27 - Prob. 1PCh. 27 - Prob. 2PCh. 27 - Prob. 3PCh. 27 - Prob. 4PCh. 27 - Prob. 5PCh. 27 - Prob. 6PCh. 27 - Prob. 7PCh. 27 - Prob. 8PCh. 27 - Prob. 9PCh. 27 - Prob. 10PCh. 27 - Prob. 11PCh. 27 - Prob. 12PCh. 27 - Prob. 13PCh. 27 - Prob. 14PCh. 27 - Prob. 15PCh. 27 - Prob. 16PCh. 27 - Prob. 17PCh. 27 - Prob. 18PCh. 27 - Prob. 19PCh. 27 - Prob. 20PCh. 27 - Prob. 21PCh. 27 - Prob. 22PCh. 27 - Prob. 23PCh. 27 - Prob. 24PCh. 27 - Prob. 25PCh. 27 - Prob. 26PCh. 27 - Prob. 27PCh. 27 - Prob. 28PCh. 27 - Prob. 29PCh. 27 - Prob. 30PCh. 27 - Prob. 31PCh. 27 - Prob. 32PCh. 27 - Prob. 33PCh. 27 - Prob. 34PCh. 27 - Prob. 35PCh. 27 - Prob. 36PCh. 27 - Prob. 37PCh. 27 - Prob. 38PCh. 27 - Prob. 39PCh. 27 - Prob. 40PCh. 27 - Prob. 41APCh. 27 - Prob. 42APCh. 27 - Prob. 43APCh. 27 - Prob. 44APCh. 27 - Prob. 45APCh. 27 - Prob. 46APCh. 27 - Prob. 47APCh. 27 - Prob. 48APCh. 27 - Prob. 49APCh. 27 - Prob. 50APCh. 27 - Prob. 51APCh. 27 - Prob. 52AP
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- A beam of electrons travels at approximately 1.282×10° m/s and there is a 5.00% uncertainty in the velocity. According to the Heisenberg uncertainty principle, what would be the expected uncertainty in the position of an electron in the beam? Give your answer in units of the Bohr radius.arrow_forward(a) The uncertainty in the y-component of a proton’s position is 2.0 * 10-12 m. What is the minimum uncertainty in a simultane- ous measurement of the y-component of the proton’s velocity? (b) The uncertainty in the z-component of an electron’s velocity is 0.250 m/s. What is the minimum uncertainty in a simultaneous measurement of the z-coordinate of the electron?arrow_forwardAn object is moving along a straight line, and the uncertainty in its position is 2.20 m. (a) Find the minimum uncertainty in the momentum of the object. Find the minimum uncertainty in the object's velocity, assuming that the object is (b) a golf ball (mass = 0.0450 kg) and (c) an electron. (a) Number (b) Number (c) Number Units Units Unitsarrow_forward
- The speed of an electron is measured to within an uncertainty of 2.0 × 104 m/s. What is the size of the smallest region of space in which the electron can be confined?arrow_forwardAn electron has been accelerated by a potential difference of 100 V. If its position is known to have an uncertainty of 1 nm, what is the percent uncertainty (Δp/p×100) of the electronarrow_forwardAn electron is moving along x axis with the speed of 2×106 m/s (known with a precision of 0.50%). Determine the uncertainty in its position.arrow_forward
- Suppose the x-component of the velocity of an electron has been measured to an accuracy of 10 -2 mm/s. What is the minimum uncertainty in the position along the x-axis? And along the y-axis?arrow_forwardThe radii of atomic nuclei are of the order of 5.0 * 10-15 m. (a) Estimate the minimum uncertainty in the momentum of a proton if it is confined within a nucleus. (b) Take this uncertainty in momentum to be an estimate of the mag- nitude of the momentum. Use the relativistic relationship between energy and momentum, Eq. (37.39), to obtain an estimate of the ki- netic energy of a proton confined within a nucleus. (c) For a proton to remain bound within a nucleus, what must the magnitude of the (negative) potential energy for a proton be within the nucleus? Give your answer in eV and in MeV. Compare to the potential energy for an electron in a hydrogen atom, which has a magnitude of a few tens of eV. (This shows why the interaction that binds the nucleus together is called the “strong nuclear force.”)arrow_forwardA spherical virus has a diameter of 50 nm. It is contained inside a long, narrow cell of length 1 x 10-4 m. What uncertainty does this imply for the velocity of the virus along the length of the cell? Assume the virus has a density equal to that of water.arrow_forward
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