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 30SA
To determine
De Broglie’s explanation for certain fixed orbits for the hydrogen atom.
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a) An electron in a hydrogen atom has energy E= -3.40 eV, where the zero of energy is at the
ionization threshold. In the Bohr model, what is the angular momentum of the electron? Express your
result as a multiple of ħ.
Ans.
b) What is the deBroglie wavelength of the electron when it is in this state? Ans.
c) When the electron is in this state, what is the ratio of the circumference of the orbit of the electron
to the deBroglie wavelength of the electron?
Ans.
d) The electron makes a transition from the state with energy E= -3.40 eV to the ground state, that
has energy -13.6 eV. What is the wavelength of the photon emitted during this transition?
Ans.
When an electron in hydrogen atom jumps from the third excited state to the ground state, how would the de Broglie wavelength associated with the electron change? Justify your answer.
a) The de Broglie wavelength of an electron is 2.33 nm. Use the Bohr model of the hydrogen
atom to calculate the state that the electron is in.
b) Compare the de Broglie wavelength to the circumference of the orbit.
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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- The Balmer series for hydrogen was discovered before either the Lyman or the Paschen series. Why?arrow_forwardHow do the allowed orbits for electrons in atoms differ from the allowed orbits for planets around the sun?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
- Why are X-rays emitted only for electron transitions to inner shells? What type of photon is emitted for transitions between outer shells?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_forwardThe 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_forward
- If you look at it, there is an Ag atom with an atomic number of 47. Then, there are electrons from outside hitting electrons in the base shell (n=1) : a. how much energy does the electron need to bounce off? and is there any energy absorbed by the electrons? b. How much the radiation energy and wavelength produced by the transition of electrons from the L shell (n=2) to the ground shell (n=1) in filling the electron holes?arrow_forwardWhich one of the following statements is FALSE?de Broglie's contribution to the Bohr model was that an electron's orbit a)must have a circumference related to the particle's wavelength. b)must have an angular momentum that equals mvr. c)must allow the electron to act as a standing wave. d)can be explained by treating electrons as particle waves.arrow_forwardIt wasn’t 1.003 x 10^6 or 1003000 please help!arrow_forward
- Cesium has a work function of 2.14 eV where 1.0 eV = 1.602 x 10^-9J. If radiation with a wavelength of 245 nm shines on a cesium surface what will be the de Broglie wavelength of the emitted electron? a. 718 pm b. 728 pm c 710 pm d. 698 pm e. 678 pmarrow_forwardA hydrogen atom has its electron in the n-3 state. How much energy would have to be absorbed by the atom for it to become ionized from this level? What is the frequency of the photon that could produce this result? An atom has 46 electrons. What is the smallest value of n needed so that all 46 electrons occupy the lowest possible quantum states consistent with the Pauli exclusion principle? O 1.51 eV 3.65 x 10^14 Hz, n = 5 O 1.51 eV 3.93 x 10^14 Hz. n=5 O 1.58 eV 3.93 x 10^14 Hz, n=5 1.51 eV 3.65 x 10^14 Hz. n-4 O 144 eV 3.65 x 10^14 Hz, n=6arrow_forwardAn electron is in the nth Bohr orbit of the hydrogen atom. n3 (a) Show that the period of the electron is T = to n³ and determine the numerical value of to. 153 as (b) On average, an electron remains in the n = 2 orbit for approximately 8 us before it jumps down to the n = 1 (ground-state)orbit. How many revolutions does the electron make in the excited state? 8.26e+09 × (c) Define the period of one revolution as an electron year, analogous to an Earth year being the period of the Earth's motion around the Sun. Explain whether we should think of the electron in the n = 2 orbit as "living for a long time."arrow_forward
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