Modern Physics For Scientists And Engineers
2nd Edition
ISBN: 9781938787751
Author: Taylor, John R. (john Robert), Zafiratos, Chris D., Dubson, Michael Andrew
Publisher: University Science Books,
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Question
Chapter 5, Problem 5.7P
To determine
(a)
To Find:
TheBohr radius.
To determine
(b)
Bohr radius, using combination of constants; such as ke2, mc2, and
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(a) An electron and a 0.0400 kg bullet each have a velocity of magnitude 510 m/s, accurate to within 0.0100%. Within what lower limit could we determine the position of each object along the
direction of the velocity? (Give the lower limit for the electron in mm and that for the bullet in m.)
for the electron
0.01136
for the bullet
2.585e-34
mm
m
(b) What If? Within what lower limit could we determine the position of each object along the direction of the velocity if the electron and the bullet were both relativistic, traveling at 0.450c
measured with the same accuracy? (Give the lower limit for the electron in nm and that for the bullet in m.)
for the electron
for the bullet
4.2899
X nm
9.76445e-42 X m
(a) Show that the speed of an electron in the nth Bohr orbit of hydrogen is ac/n, where a is
the fine structure constant, equal to e/4neghc. (b) What would be the speed in a hydrogen
like atom with a nuclear charge of Ze?
7. (a) What are the possible values of 1 for n = 6? (b) What are
the possible values of m, for 1 = 6? (c) What is the smallest
possible value of n for which I can be 4? (d) What is the
smallest possible / that can have a z component of 4ħ?
pt
Chapter 5 Solutions
Modern Physics For Scientists And Engineers
Ch. 5 - Prob. 5.1PCh. 5 - Prob. 5.2PCh. 5 - Prob. 5.3PCh. 5 - Prob. 5.4PCh. 5 - Prob. 5.5PCh. 5 - Prob. 5.6PCh. 5 - Prob. 5.7PCh. 5 - Prob. 5.8PCh. 5 - Prob. 5.9PCh. 5 - Prob. 5.10P
Ch. 5 - Prob. 5.11PCh. 5 - Prob. 5.12PCh. 5 - Prob. 5.13PCh. 5 - Prob. 5.14PCh. 5 - Prob. 5.15PCh. 5 - Prob. 5.16PCh. 5 - Prob. 5.17PCh. 5 - Prob. 5.18PCh. 5 - Prob. 5.19PCh. 5 - Prob. 5.20PCh. 5 - Prob. 5.21PCh. 5 - Prob. 5.22PCh. 5 - Prob. 5.23PCh. 5 - Prob. 5.24PCh. 5 - Prob. 5.25PCh. 5 - Prob. 5.26PCh. 5 - Prob. 5.27P
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- 475 cm /volt-s, and E, = 1.1 eV, 6? Given these data for Si: 4, = 1350 cm/volt-s, H calculate the following. a) The lifetimes for the electron and for the hole. b) The intrinsic conductivity a at room temperature. c) The temperature dependence of o, assuming that electron collision is dominated by phonon scattering, and plot log o versus 1/T. %3D 7. Repeat Problem 6 for Ge, using Tables 6 L and 6 ?arrow_forward(s) Show that the mass of a photon can be expressed in kg. (1) From where do we obtain wave functions for atomic orbitais? (u) What is the importance of squaring a wave function? M According to the Bohr model, where in the H atom is the electron found? (w) Give the mathematical statement of the Heisenberg uncertainty principle. (x) What type of electromagnetic radiation is used for cooking at home? (y) What is the maximum number of electrons in an atom that any subshell can have? (Z) How many subshells does a shell have?arrow_forwardWhat is the probability that the is electron of a hydrogen atom is found outside the Bohr radius?arrow_forward
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- (a) The current i due to a charge q moving in a circle with frequency frev is qfrev · Find the current due to the electron in the first Bohr orbit. (b) The magnetic moment of a current loop is iA, where A is the area of the loop. Find the magnetic moment of the electron in the first Bohr orbit in units Am2 . This magnetic moment is called a Bohr magneton.arrow_forwardif the chlorine molecule at 290K were to rotate at the angular frequency predicted by the equipartition theorem what would be the average centipital force ? ( the atoms of Cl are 2 x 10-10 m apart and the mass of the chlorine atom 35.45 a.m.u )arrow_forwardSingly ionized helium has a single orbiting electron, so the mathematicsof the Bohr hydrogen atom will apply, with one important difference: The charge of the nucleus is twice that of the single proton at the center of a hydrogen atom. This changes the energy levels; the magnitude of each energy is greater than the corresponding Bohr level by a factor of 22 = 4: The Balmer and Lyman series of spectral lines in hydrogen have analogs in singly ionized helium, but at shorter wavelengths; the photons corresponding to these transitions are beyond the visiblelight spectrum. The transitions that end on the n = 4 state produce a set of spectral lines called the Pickering series. The visible-light lines in this series were first seen in the light from certain hot stars, but some of the lines overlap the hydrogen Balmer series lines, so these lines were initially missed. This led to an initial mischaracterization of the source of the lines. The Paschen series of wavelengths in the hydrogen…arrow_forward
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