COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 26, Problem 15QAP
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• Which of the following postulates of the Bohr model led to the quantization of energy of the hydrogen
atom?
A- The electron goes around the nucleus in circular orbits.
B- The angular momentum of the electron can only be an integral multiple of h/2a.
C- The magnitude of the linear momentum of the electron is quantized.
D- Quantization of energy is itself a postulate of the Bohr model.A. Electrons,
• The Bohr model of atoms
A- assumes that the angular momentum of electrons is quantized.
B- uses Einstein's photoelectric equation.
C- predicts continuous emission spectra for atoms.
D- predicts the same emission spectra for all types of atoms.
• The diagram shows the energy levels for an electron in a certain atom. Which transition shown
represents the emission of a photon with the most energy?
R= 2
=1-
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IV
A-I
A-I
В-П
C- III
D- IV
• The Bohr model of an atom
A- assumes that the angular momentum of electrons is quantised.
B- uses Einstein's photoelectric equation.
C- predicts continuous…
=
Using the formula for the hydrogen atom energy levels, En
constant can be written in terms of fundamental quantities,
RH
=
Me 4
8€ ²h³c
Me4
1
860²h² n²¹
the Rydberg
and its value approaches, RH → R = 10,973,731.6 m¹ in the limit μ→ me.
(a) How would this constant be defined for a one-electron species containing Z protons in
its nucleus? Consider how this changes the form of the Hamiltonian and the energy
levels for that Hamiltonian.
(b) The hydrogen atom emission lines in the Balmer series (n₂ = 2) lie in the visible portion of
the electromagnetic spectrum. Would this also be true if Z> 1? Find the wavelength (in
nm) of the n = 32 emission in hydrogen and that for a one-electron species with Z = 2.
(You will be asked to report a quantity on the quiz that depends on these two values.)
• An electron drops from the L shell to the K shell and gives off anX-ray with a wavelength of 0.0279 nm. What is the atomic number of this atom?
Chapter 26 Solutions
COLLEGE PHYSICS
Ch. 26 - Prob. 1QAPCh. 26 - Prob. 2QAPCh. 26 - Prob. 3QAPCh. 26 - Prob. 4QAPCh. 26 - Prob. 5QAPCh. 26 - Prob. 6QAPCh. 26 - Prob. 7QAPCh. 26 - Prob. 8QAPCh. 26 - Prob. 9QAPCh. 26 - Prob. 10QAP
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- Select all of the following statements that are basic assumptions of the Bohr model of the atom. A) Atoms have a central nucleus with electrons in orbit about this nucleus. B) Atoms are solid spheres of matter.Atoms are made of positive material with electrons fixed in place in this positive material. C) Electrons orbit the nucleus, but the orbits can have only certain sizes and energy values. D) Electrons can jump from one orbit to another around the nucleus. E) They must gain energy to jump to a higher level, and they release energy when jumping to a lower level.arrow_forwardLook up the values of the quantities in aB=h242mekqe2, and verify that the Bohr radius aB is 0.5291010 m.arrow_forwardExplain why spectral lines of the hydrogen atom are split by an external magnetic field. What determines the number and spacing of these lines?arrow_forward
- Which atomic picture (named after the respective physicists) gives the most complete and accurate picture of how electrons act within atoms? O None of these are correct. O Bohr O de Broglie O Schrödingerarrow_forward8-1. Show that the atomic unit of energy can be written as ħ² e² ma Απερβο En = me 16π εjhtarrow_forwardWhich of the following is not true of BohrOs atomic model? O The electron in the orbit nearest to the nucleus has the lowest energy. O The Coulomb force between the nucleus and the electron maintains the electron in orbit. h O The angular momentum of an electron in the allowed orbit is equal to an integral multiple of O Radiation is emitted when an electron orbits in the allowed orbit.arrow_forward
- Assuming that only a single electron is present and a Bohr model, calculate the mean radius, orbital velocity, and energy of a N=1 electron of hydrogen N=4 electron for lead N=1 electron for plutonium N=1 electron for an element with Z = 142arrow_forwarda) Find: [Sx, S.] and [L-,x] b) Which of these wave functions are not allowed in hydrogen atom: P2,1,1 • P3,1,1 • P2,0,-1 , P3,2,-2 c) L./@320 > = d) S-/x. >=arrow_forwardThe gravitational attraction between electron and proton in a hydrogen atom is weaker than the coulomb attraction by a factor of about 10-40. An alternative way of looking at this fact is to estimate the radius of the first Bohr orbit of a hydrogen atom if the electron and proton were bound by gravitational attraction. You will find the answer interesting.arrow_forward
- •19 O Figure 39-28a shows the energy-level diagram for a fi- nite, one-dimensional energy well that contains an electron. The nonquantized region begins at E= 450.0 eV. Figure 39-28b gives the absorption spectrum of the electron when it is in the ground state-it can absorb at the indicated wavelengths: A=14.588 nm and Ag = 4.8437 nm and for any wavelength less than A, = 2.9108 nm. What is the energy of the first excited state? %3D - Nonquantized E4 Es E2 (b) (a) Energyarrow_forwardCalculate the radius of second Bohr orbit in hydrogen atom from the given data. Mass of electron = 9.1 × 1031 kg %3D Charge on the electron = 1.6 × 101º C %3D Plank's constant = 6.63 × 10“ J.S. %3D Permitivity of free space = 8.85 x 10-12 C/Nm² %3Darrow_forward3) Rutherford is accredited to have discovered the nucleus of the atom; he detected alpha particles that went through the target and alpha particles that backscattered from the target. a) Give a rough value of the angle of scattering in both cases. Give a motivation to your choice in each case. b) Explain (in one original paragraph written in English) why both signals were equally important in the conclusion he drew in proposing the existence of the atomic nucleus.arrow_forward
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