An Introduction to Physical Science
14th Edition
ISBN: 9781305079137
Author: James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher: Cengage Learning
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Chapter 9, Problem 14MC
To determine
Limitations of Bohr model.
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1. (a) Which "bold and daring" proposal did Bohr make to overcome the predictions of
classical mechanics of an electron spiralling into the nucleus?
(b) Explaining all the assumptions made and the terms used, show that the radius for the nth
orbit of Bohr's model of the hydrogen atom is given by:
h?
r. =
47 kme?
Show also, that the energy of the electron in the nth orbit is given by:
me
E,
%3D
2. (i)What do you understand by Pauli's exclusion principle?
(ii) Write down all possible combinations of the quantum numbers for electrons filling
completely the p shell for n=2
An electron for a hydrogen atom absorbed enough energy to move to the third energy level and immediately returned to ground state, emitting the energy it absorbed. A second hydrogen atom had its electron absorb the same amount of energy but, instead of returning directly to ground state, it moved to the second energy level and then to ground state. What can be said of the energy emitted by these two electrons that took different paths?
Chapter 9 Solutions
An Introduction to Physical Science
Ch. 9.1 - Prob. 1PQCh. 9.1 - Prob. 2PQCh. 9.2 - Prob. 1PQCh. 9.2 - Prob. 2PQCh. 9.2 - Prob. 9.1CECh. 9.3 - Prob. 1PQCh. 9.3 - When does a hydrogen atom emit or absorb radiant...Ch. 9.3 - Prob. 9.2CECh. 9.3 - Prob. 9.3CECh. 9.3 - Prob. 9.4CE
Ch. 9.4 - Prob. 1PQCh. 9.4 - Prob. 2PQCh. 9.5 - Prob. 1PQCh. 9.5 - Prob. 2PQCh. 9.6 - Prob. 1PQCh. 9.6 - Prob. 2PQCh. 9.6 - Prob. 9.5CECh. 9.7 - Prob. 1PQCh. 9.7 - Prob. 2PQCh. 9 - Prob. AMCh. 9 - Prob. BMCh. 9 - Prob. CMCh. 9 - Prob. DMCh. 9 - Prob. EMCh. 9 - Prob. FMCh. 9 - Prob. GMCh. 9 - Prob. HMCh. 9 - Prob. IMCh. 9 - Prob. JMCh. 9 - Prob. KMCh. 9 - Prob. LMCh. 9 - Prob. MMCh. 9 - Prob. NMCh. 9 - Prob. OMCh. 9 - Prob. PMCh. 9 - Prob. QMCh. 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. 10MCCh. 9 - Prob. 11MCCh. 9 - Prob. 12MCCh. 9 - Prob. 13MCCh. 9 - Prob. 14MCCh. 9 - Prob. 1FIBCh. 9 - Prob. 2FIBCh. 9 - Prob. 3FIBCh. 9 - Prob. 4FIBCh. 9 - Prob. 5FIBCh. 9 - Prob. 6FIBCh. 9 - Prob. 7FIBCh. 9 - Prob. 8FIBCh. 9 - Prob. 9FIBCh. 9 - Prob. 10FIBCh. 9 - Prob. 11FIBCh. 9 - Prob. 12FIBCh. 9 - Prob. 1SACh. 9 - Prob. 2SACh. 9 - Prob. 3SACh. 9 - Prob. 4SACh. 9 - Prob. 5SACh. 9 - Prob. 6SACh. 9 - Prob. 7SACh. 9 - Prob. 8SACh. 9 - Prob. 9SACh. 9 - Prob. 10SACh. 9 - Prob. 11SACh. 9 - Prob. 12SACh. 9 - Prob. 13SACh. 9 - Prob. 14SACh. 9 - Prob. 15SACh. 9 - Prob. 16SACh. 9 - Prob. 17SACh. 9 - Prob. 18SACh. 9 - Prob. 19SACh. 9 - Prob. 20SACh. 9 - Prob. 21SACh. 9 - Prob. 22SACh. 9 - Prob. 23SACh. 9 - Prob. 24SACh. 9 - Prob. 25SACh. 9 - Prob. 26SACh. 9 - Prob. 27SACh. 9 - Prob. 28SACh. 9 - Prob. 29SACh. 9 - Prob. 30SACh. 9 - Prob. 31SACh. 9 - Prob. 32SACh. 9 - Prob. 33SACh. 9 - Prob. 34SACh. 9 - Visualize the connection for the descriptions of...Ch. 9 - Prob. 1AYKCh. 9 - Prob. 2AYKCh. 9 - Prob. 3AYKCh. 9 - Prob. 4AYKCh. 9 - Prob. 5AYKCh. 9 - Prob. 1ECh. 9 - Prob. 2ECh. 9 - Prob. 3ECh. 9 - Prob. 4ECh. 9 - Prob. 5ECh. 9 - Prob. 6ECh. 9 - Prob. 7ECh. 9 - Prob. 8ECh. 9 - Prob. 9ECh. 9 - Prob. 10ECh. 9 - Prob. 11ECh. 9 - Prob. 12E
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- Why are X-rays emitted only for electron transitions to inner shells? What type of photon is emitted for transitions between outer shells?arrow_forwardPlease answer (i), (v), and (vi). Thank you! (i) Using Bohr model for atomic hydrogen, obtain energy levels for the 2s, 3s and 3p states in the actual number with the unit of [eV]. We consider a transition that electron in the 3p state emits a photon and make a transition to the 2s state. What is the frequency v of this photon ? (ii) Now we do not include electron spin angular momentum, and just estimate an effect of a magnetic field B on this transition (Normal Zeeman effect) with orbital angular momentum. How many lines of optical transition do we expect ? What is the interval of the frequency in the field B = 0.1 Tesla ? (iii) In this situation, we do not expect transition from 3s to 2s state if the electron is initially in the 3s state, Explain the reason. (iv) We now consider an effect of magnetic field B to a free electron spin (not in Hydrogen, but a free electron). The magnetic field of B = 1.0 Tesla will split the energy level into two (Zeeman) levels. Obtain the level…arrow_forwardWhich of the following lists of quantum numbers for the hydrogen atom (if any) are NOT possible? Circle all that apply and explain why they are not possible.arrow_forward
- How would you answer this? Which one of the following statements is an assumption made by Bohr in developing his atomic theory? Photons have momentum. There are stationary states in which the electron does not radiate energy. Emission line spectra are a result of photons jumping from lower to higher energy levels. Emission line spectra are a result of electrons jumping from lower to higher energy levels.arrow_forward(a) After J. J. Thompson experimentally discovered the existence of electrons in 1897, he went on to propose the plum pudding model of matter. What was the plum pudding model? What did Ernest Rutherford conclude about the structure of matter based on his experimental results from bombarding gold foil with alpha particles? (b) What was the proposed atomic model of matter put forward by Rutherford? Theoretically what was the problem with his proposed model of the atom? (c) What was the modification made by Niels Bohr to Rutherford's model, i.e., what were the assumptions that Bohr made for his version of the atomic model of matter? (d) What observational phenomena was Bohr's proposed model able to explain? How did his model explain these phenomena? (e) Draw an energy level diagram with one representative transition to support your answer to part (d).arrow_forwardWhat wavelength of light is emitted by a hydrogen atom in which an electron makes a transition from the n = 6 to the n = 1 state? Enter this wavelength expressed in nanometers to one decimal place. Assume the Bohr model.arrow_forward
- 1.2. The ground state electronic configuration of a neon atom is 1s²2s² 2p°. How many of these electrons have magnetic quantum number m = 0? A) 2 B) 4 C) 6 D) 8 E) 10arrow_forwardQuestion 2. Let us consider a hypothetical Atom with the following list of energy levels: E1 = 1.5 eV E2 = 3.5 eV E3 = 4.8 eV E4 = 5.6 eV a) Compute the energy of ALL the spectral lines in the ABSORPTION SPECTRUM and list the corresponding "colors" b) Compute the energy of ALL the spectral lines in the EMISSION SPECTRUM and list the corresponding "colors" Wavelength Frequency Photon energy (nm) (THz) 380-450 670-790 450-485 620-670 cyan 485-500 600-620 green 500-565 530-600 yellow 565-590 510-530 orange 590-625 480-510 red 625-750 400-480 Color violet blue (eV) 2.75-3.26 2.56-2.75 2.48-2.56 2.19-2.48 2.10-2.19 1.98-2.10 1.65-1.98arrow_forwardHow does Rutherford’s model of the atom account for the back-scattering of alpha particles directed at the gold foil?arrow_forward
- In the Bohr Model of the hydrogen atom, the energy states of electrons are negative. What is the reason for this? What does it mean that the energy is negative?arrow_forwardThe energy levels of a hypothetical atom are shown here. Which of the following photons can an electron sitting in the -4eV energy level absorb? (select two answers) -0.2 ev -0.4 ev -1.8 ev 4 ev A photon with 2.5 eV of energy A photon with 3.8 eV of energy A photon with 0.4 ev of energy A photon with 1.8 ev of energy A photon with 2.2 ev of energyarrow_forwardWhich 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_forward
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