EBK PHYSICAL UNIVERSE
15th Edition
ISBN: 9780100255036
Author: KRAUSKOPF
Publisher: YUZU
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Chapter 9, Problem 39E
To determine
Reason why electron in a
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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.
An electron is orbiting around a nucleus in a hydrogen atom in Bohr 's model with kinetic energy of 8.64x10 20 J. Determine the allowed orbit in this atom.
(Given: Mass of electron, me=9.1x10-31 kg)
O 2
O 5
O 3
O 4
Which of the following is not true of Bohrs atomic model?
The angular momentum of an electron in the allowed orbit is equal to an integral multiple of
h
2?
The Coulomb force between the nucleus and the electron maintains the electron in orbit.
Radiation is emitted when an electron orbits in the allowed orbit.
The electron in the orbit nearest to the nucleus has the lowest energy.
Chapter 9 Solutions
EBK PHYSICAL UNIVERSE
Ch. 9 - Prob. 1MCCh. 9 - Prob. 2MCCh. 9 - Prob. 3MCCh. 9 - Prob. 4MCCh. 9 - Prob. 5MCCh. 9 - Prob. 6MCCh. 9 - Prob. 7MCCh. 9 - Prob. 8MCCh. 9 - Prob. 9MCCh. 9 - Prob. 10MC
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- A Thomson-type experiment with relativistic electrons. One of the earliest experiments to show that p = mv (rather than p = mv) was that of Neumann. [G. Neumann, Ann. Physik 45:529 (1914)]. The apparatus shown in Figure P4.5 is identical to Thomsons except that the source of high-speed electrons is a radioactive radium source and the magnetic field B is arranged to act on the electron over its entire trajectory from source to detector. The combined electric and magnetic fields act as a velocity selector, only passing electrons with speed v, where v = V/Bd (Equation 4.6), while in the region where there is only a magnetic field the electron moves in a circle of radius r, with r given by p = Bre. This latter region (E = 0, B = constant) acts as a momentum selector because electrons with larger momenta have paths with larger radii. (a) Show that the radius of the circle described by the electron is given by r = (l2 + y2)/2y. (b) Typical values for the Neumann experiment were d = 2.51 104 m, B = 0.0177 T, and l = 0.0247 m. For V = 1060 V, y, the most critical value, was measured to be 0.0024 0.0005 m. Show that these values disagree with the y value calculated from p = mv but agree with the y value calculated from p = mv within experimental error. (Hint: Find v from Equation 4.6, use mv = Bre or mv = Bre to find r, and use r to find y.) Figure P4.5 The Neumann apparatus.arrow_forwardWhen the absorption spectrum of hydrogen at room temperature is analyzed, absorption lines for the Lyman series are found, but none are found for the Balmer series. What does this tell us about the energy state of most hydrogen atoms at room temperature?arrow_forward(a) Calculate the velocity of an electron that has a wavelength of 1.00 m. (b) Through what voltage must the electron be accelerated to have this velocity?arrow_forward
- For an electron in a hydrogen atom in the n=2 state, compute: (a) the angular momentum; (b) the kinetic energy; (c) the potential energy; and (d) the total energy.arrow_forwardHow do the allowed orbits for electrons in atoms differ from the allowed orbits for planets around the sun?arrow_forwardWhat is the kinetic energy of a 0.01-nm electron in a TEM?arrow_forward
- (a) If one subshell of an atom has 9 electrons in it, what is the minimum value of l ? (b) What is the spectroscopic notation for this atom, if this subshell is part of the n=3 shell?arrow_forwardDo the Balmer series and the Lyman series overlap? Why? Why not? (Hint: calculate the shortest Balmer line and the longest Lyman line.)arrow_forward(a) Using the Pauli exclusion principle and the rules relating the allowed values of the quantum numbers (n,l,ml,ms), prove that the maximum number of electrons in a subshell is 2n2. (b) In a similar manner, prove that the maximum number of electrons in a shell is 2n2.arrow_forward
- Which of the following spectroscopic notations are allowed (that is, which violate none of the rules regarding values of quantum numbers)? (a) 1s1(b) 1d3(c) 4s2(d) 3p7(e) 6h20arrow_forwardWhich of the following spectroscopic notations are not allowed? (a) 5s1(b) 1d1(c) 4s3(d) 3p7(e) 5g15. State which rule is violated for each that is not allowed.arrow_forward(a) What is the momentum of a 0.0100-nm-wavelength photon that could detect details of an atom? (b) What is its energy in MeV?arrow_forward
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