COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 26, Problem 16QAP
To determine
Why do you think that
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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-
%3D
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…
2
D
-e
Physical constants
(A) (in m)
Bohr Model
mv²
-
h = 6.626 x 10-34 Js;
Ke² = 2.307 x 10-28 Jm;
m = 9.11 x 10-31 kg.
The old Bohr model of the hydrogen atom was based on...
(1) the assumption that the electron travels on a circle
(A) What is the radius of the orbit with n = 5?
(B) What is the speed of the orbit with n = 5?
Ke²
ra
and obeys Newton's second law,
and (2) the hypothsis that angular momentum is quantized.
For the Bohr model,
(1)
mvr = n (2)
27
OA: 2.774x10-10 OB: 3.468x10-10 OC: 4.334x10-10 OD: 5.418x10-10 DE: 6.773x10-10 OF: 8.466x10-10 OG: 1.058x109 OH: 1.323x10-9
Submit Answer Tries 0/20
X
If the orbital angular momentum
of an atom is 2 and the
perpendicular momentum is
5/2, then the number of possible
values of the total angular
momentum are:*
5
2
6
All options are wrong
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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
Ch. 26 - Prob. 11QAPCh. 26 - Prob. 12QAPCh. 26 - Prob. 13QAPCh. 26 - Prob. 14QAPCh. 26 - Prob. 15QAPCh. 26 - Prob. 16QAPCh. 26 - Prob. 17QAPCh. 26 - Prob. 18QAPCh. 26 - Prob. 19QAPCh. 26 - Prob. 20QAPCh. 26 - Prob. 21QAPCh. 26 - Prob. 22QAPCh. 26 - Prob. 23QAPCh. 26 - Prob. 24QAPCh. 26 - Prob. 25QAPCh. 26 - Prob. 26QAPCh. 26 - Prob. 27QAPCh. 26 - Prob. 28QAPCh. 26 - Prob. 29QAPCh. 26 - Prob. 30QAPCh. 26 - Prob. 31QAPCh. 26 - Prob. 32QAPCh. 26 - Prob. 33QAPCh. 26 - Prob. 34QAPCh. 26 - Prob. 35QAPCh. 26 - Prob. 36QAPCh. 26 - Prob. 37QAPCh. 26 - Prob. 38QAPCh. 26 - Prob. 39QAPCh. 26 - Prob. 40QAPCh. 26 - Prob. 41QAPCh. 26 - Prob. 42QAPCh. 26 - Prob. 43QAPCh. 26 - Prob. 44QAPCh. 26 - Prob. 45QAPCh. 26 - Prob. 46QAPCh. 26 - Prob. 47QAPCh. 26 - Prob. 48QAPCh. 26 - Prob. 49QAPCh. 26 - Prob. 50QAPCh. 26 - Prob. 51QAPCh. 26 - Prob. 52QAPCh. 26 - Prob. 53QAPCh. 26 - Prob. 54QAPCh. 26 - Prob. 55QAPCh. 26 - Prob. 56QAPCh. 26 - Prob. 57QAPCh. 26 - Prob. 58QAPCh. 26 - Prob. 59QAPCh. 26 - Prob. 60QAPCh. 26 - Prob. 61QAPCh. 26 - Prob. 62QAPCh. 26 - Prob. 63QAPCh. 26 - Prob. 64QAPCh. 26 - Prob. 65QAPCh. 26 - Prob. 66QAPCh. 26 - Prob. 67QAPCh. 26 - Prob. 68QAPCh. 26 - Prob. 69QAPCh. 26 - Prob. 70QAPCh. 26 - Prob. 71QAPCh. 26 - Prob. 72QAPCh. 26 - Prob. 73QAPCh. 26 - Prob. 74QAPCh. 26 - Prob. 75QAPCh. 26 - Prob. 76QAPCh. 26 - Prob. 77QAPCh. 26 - Prob. 78QAPCh. 26 - Prob. 79QAPCh. 26 - Prob. 80QAPCh. 26 - Prob. 81QAPCh. 26 - Prob. 82QAPCh. 26 - Prob. 83QAPCh. 26 - Prob. 84QAPCh. 26 - Prob. 85QAPCh. 26 - Prob. 86QAPCh. 26 - Prob. 87QAPCh. 26 - Prob. 88QAPCh. 26 - Prob. 89QAPCh. 26 - Prob. 90QAPCh. 26 - Prob. 91QAPCh. 26 - Prob. 92QAPCh. 26 - Prob. 93QAPCh. 26 - Prob. 94QAPCh. 26 - Prob. 95QAPCh. 26 - Prob. 96QAPCh. 26 - Prob. 97QAPCh. 26 - Prob. 98QAPCh. 26 - Prob. 99QAPCh. 26 - Prob. 100QAPCh. 26 - Prob. 101QAPCh. 26 - Prob. 102QAPCh. 26 - Prob. 103QAPCh. 26 - Prob. 104QAP
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- The electron of a hydrogen atom is in an orbit with radius of 8.46 Å (1 Å = 10-10 m), according to the Bohr model. Which of the following statements is correct? a) The total energy of the orbit is –13.6 eV, and the kinetic energy is +13.6 eV. b) The total energy of the orbit is –0.85 eV, and the potential energy is –1.70 eV. c) The total energy of the orbit is –0.85 eV, and the potential energy is +1.70 eV. d) The total energy of the orbit is –0.85 eV, and the potential energy is –0.85 eV. e) The total energy of the orbit is –3.40 eV, and the potential energy is –6.80 eV.arrow_forwardIn the Bohr model of the atom, electrons can move freely between orbits without any gain or loss of energy. True Falsearrow_forwardThe potential energy of a pair of hydrogen atoms separated by a large distance is given by U(x) = −C6/x6, where C6 is a positive constant.arrow_forward
- a- Calculate the radius of the first orbital of the hydrogen atom according to the Bohr model? What is the ratio of the radius of the second orbital to the radius of the first orbit of the same atom, and what is the speed of the electron in each orbit? tron fa to another yarrow_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_forwardSelect 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_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_forwarda) Use the Bohr model of the atom to calculate the orbiting speed of the electron in the n = 5 state. What is the principal quantum number n for which the orbiting period of the electron is about one picosecond? (1 ps = 1 × 10−12 s)arrow_forwardSEATWORK 1 • Using the periodic table of elements. Determine the atomic number and predict the name of element and element symbol from the given number of electrons. Number of Electrons Atomic Number Element name Element Symbol 29 30 19 14 26 LET US TRY THIS Fill in what is missing in the Zapen table. Element (p+) (e-) (nº) Symbol Mg 12 24 Al 13 14 16 32 SEATWORK 2 Element Z A (p+) (e-) (nº) Symbol Са 20 40 9. 10arrow_forward
- (b) According to Bohr's atomic model, a one-electron system is described by the atomic number Z and the speed vn of the electron at a radius m in the n-th quantum orbit: Z.e² 1 h² €0 Vn = 2.h.Eon rn •N² π ● me e². Z me (i) Calculate the radius and the velocity for the first quantum orbit of the single ionised helium atom. (ii) Calculate the value for the velocity uncertainty, Avx, of the electron in the singly ionised helium atom results, if a spatial uncertainty Ax of the electron is assumed to be the diameter of the first quantum orbit. (iii) Explain the relationship between simultaneous measurements of Bohr's orbit radius and the orbit speed on the first quantum orbit. ●arrow_forward•22 o Figure 40-23 is an energy-level diagram for a fictitious infinite potential E (/8ml*) well that contains one electron. The num- 12 Non ber of degenerate states of the levels are indicated: "non" means nondegenerate 11 Triple (which includes the ground state of the electron), "double" means 2 states, and "triple" means 3 states. We put a total of Double Triple 11 electrons in the well. If the electro- Ground static forces between the electrons can be neglected, what multiple of h2/8mL? gives the energy of the first excited state of the 11-electron system? Figure 40-23 Problem 22.arrow_forward(c) Consider the semi-classical model for a two-electron atom illustrated in the diagram below. This model attempts to extend the Bohr model to a two-electron system by assuming both electrons follow a circular orbit around the nucleus while remaining diametrically opposite to each other. electron nucleus, electron (i) Carefully explain why, for the ground state of helium, this semi-classical model predicts that both electrons would experience an effective nuclear charge Zeff %3D (ii) Assuming that each electron's angular momentum is quantized in the same manner as the usual Bohr model for single-electron atoms, calculate the total binding energy of the ground state of helium according to this semi classical model.arrow_forward
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