Physical Universe
16th Edition
ISBN: 9780077862619
Author: KRAUSKOPF, Konrad B. (konrad Bates), Beiser, Arthur
Publisher: Mcgraw-hill Education,
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Question
Chapter 9, Problem 41E
(a)
To determine
What is an meant by ground state of an atom.
(b)
To determine
The quantum number of the ground state of a hydrogen atom in
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(a) Using Bohr’s second postulate of quantization of orbital angular momentum show that the circumference of the electron in the n,h orbital state in hydrogen atom is n times the de-Broglie wavelength associated with it.
(b) The electron in hydrogen atom is initially in the third excited state. What is the maximum number of spectral lines which can be emitted when it finally moves to the ground state?
(a) What quantum numbers are needed to give a complete description of the quantum
state of an electron in an atom?
(b) List the value of each of the quantum numbers mentioned in (a) for each of the
electrons in a neutral strontium atom in its ground state.
An electron of a hydrogen atom initially in the third excited state emits a photon and ends up in the ground state. (i) What is the energy in eV and in Joules of the emitted photon? (ii) What is the frequency of the emitted photon?
Chapter 9 Solutions
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
Ch. 9 - Prob. 11MCCh. 9 - Prob. 12MCCh. 9 - Prob. 13MCCh. 9 - Prob. 14MCCh. 9 - Prob. 15MCCh. 9 - Prob. 16MCCh. 9 - Prob. 17MCCh. 9 - Prob. 18MCCh. 9 - Prob. 19MCCh. 9 - Prob. 20MCCh. 9 - Prob. 21MCCh. 9 - Prob. 22MCCh. 9 - Prob. 23MCCh. 9 - Prob. 24MCCh. 9 - Prob. 25MCCh. 9 - Prob. 26MCCh. 9 - Prob. 27MCCh. 9 - Prob. 28MCCh. 9 - Prob. 29MCCh. 9 - Prob. 30MCCh. 9 - Prob. 31MCCh. 9 - Prob. 32MCCh. 9 - Prob. 33MCCh. 9 - Prob. 34MCCh. 9 - Prob. 35MCCh. 9 - Prob. 36MCCh. 9 - Prob. 37MCCh. 9 - Prob. 38MCCh. 9 - Prob. 39MCCh. 9 - Prob. 40MCCh. 9 - Prob. 41MCCh. 9 - Prob. 42MCCh. 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. 12ECh. 9 - Prob. 13ECh. 9 - Prob. 14ECh. 9 - Prob. 15ECh. 9 - Prob. 16ECh. 9 - Prob. 17ECh. 9 - Prob. 18ECh. 9 - Prob. 19ECh. 9 - Prob. 20ECh. 9 - Prob. 21ECh. 9 - Prob. 22ECh. 9 - Prob. 23ECh. 9 - Prob. 24ECh. 9 - Prob. 25ECh. 9 - Prob. 26ECh. 9 - Prob. 27ECh. 9 - Prob. 28ECh. 9 - Prob. 29ECh. 9 - Prob. 30ECh. 9 - Prob. 31ECh. 9 - Prob. 32ECh. 9 - Prob. 33ECh. 9 - Prob. 34ECh. 9 - Prob. 35ECh. 9 - Prob. 36ECh. 9 - Prob. 37ECh. 9 - Prob. 38ECh. 9 - Prob. 39ECh. 9 - Prob. 40ECh. 9 - Prob. 41ECh. 9 - Prob. 42ECh. 9 - Prob. 43ECh. 9 - Prob. 44ECh. 9 - Prob. 45ECh. 9 - Prob. 46ECh. 9 - Prob. 47ECh. 9 - Prob. 48ECh. 9 - Prob. 49ECh. 9 - Prob. 50ECh. 9 - Prob. 51ECh. 9 - Prob. 52ECh. 9 - Prob. 53ECh. 9 - Prob. 54ECh. 9 - Prob. 55ECh. 9 - Prob. 56ECh. 9 - Prob. 57ECh. 9 - Prob. 58ECh. 9 - Prob. 59ECh. 9 - Prob. 60ECh. 9 - Prob. 61ECh. 9 - Prob. 62ECh. 9 - Under what circumstances do electrons exhibit...
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- When a hydrogen atom is in its ground state, what are the shortest and longest wavelengths of the photons it can absorb without being ionized?arrow_forwardWhat, if any, constraints does a value of m = 1 place on the other quantum numbers for an electron in an atom?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
- The Balmer series for hydrogen was discovered before either the Lyman or the Paschen series. Why?arrow_forward(a) Using the Bohr model, calculate the speed of the electron in a hydrogen atom in the n = 1, 2, and 3 levels. (b) Calculate the orbital period in each of these levels. (c) The average lifetime of the first excited level of a hydrogen atom is 1.0 * 10-8 s. In the Bohr model, how many orbits does an electron in the n = 2 level complete before returning to the ground level?arrow_forwardIn accordance with the Bohr’s model, find the quantum number that characterises the earth’s revolution around the sun in an orbit of radius 1.5×1011 m with orbital speed 3 × 104 m/s. (Mass of earth= 6.0 × 1024 kg.)arrow_forward
- What are the most significant differences between the Bohr model of the hydrogen atom and the Schrödinger analysis? What are the similarities?arrow_forwardWhat is the maximum photon wavelength that would free an electron in a hydrogen atom when it is in the n = 8 excited state? (Give the answer in meters.)arrow_forwardThree energy levels exist in a particular atom (not necessarily hydrogen-like with a single electron [Bohr model doesn’t apply]) such that when an electron transitions from the n=3 energy level to n=2, a photon of wavelength 600 nm is emitted. When an electron transitions from n=3 to n=1 a photon of wavelength 200 nm is emitted. The wavelength of the emitted photon when an electron transitions from n=2 to n=1 is ____ nm.arrow_forward
- Use the Bohr model. If the principal quantum number is n (given below): (A) What is the radius of the electron orbit? (B) What is the energy of the Hydrogen atom? (C) What is the speed of the electron, in terms of the speed of the light. n = 4. (radius =) (energy =) (speed/c = )arrow_forwardA hydrogen atom is in its second excited state, corresponding to n = 3. Find (a) the radius of the electron’s Bohr orbit and (b) the de Broglie wavelength of the electron in this orbit.arrow_forwardThe total energy of an electron in the first excited state of the hydrogen atom is about -3.4 eV. (a) What is the kinetic energy of the electron in this state? (b) What is the potential energy of the electron in this state? (c) Which of the answers above would change if the choice of the zero of potential energy is changed?arrow_forward
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