Foundations of Astronomy (MindTap Course List)
14th Edition
ISBN: 9781337399920
Author: Michael A. Seeds, Dana Backman
Publisher: Cengage Learning
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Chapter 7, Problem 1LTL
To determine
Does an electron in the
Does the electron in the
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The three lowest energy levels of a hydrogen atom are -13.6 eV, -3.4 eV, and -1.5 eV. Assume that there is only one way to occupy any one of these levels.
Calculate the relative probability that a hydrogen atom in thermal equilibrium in a star, at temperature T = 9674 K, is in its first excited state (at -3.4 eV) relative to its ground state (at -13.6 eV).
Write your answer in exponential form.
Recall that Boltzmann's constant can be written as 8.617 x 10-5 eV K-1.
Consider a hydrogen atom is in its second excited state.
Part (a) What is the shortest wavelength photon it can emit? Give your answer in nanometers.
Part (b) What is the longest wavelength photon it can emit? Give your answer in nanometers.
Can you explain how to get 7.2 as the answer?
Chapter 7 Solutions
Foundations of Astronomy (MindTap Course List)
Ch. 7 - Prob. 1RQCh. 7 - Prob. 2RQCh. 7 - Prob. 3RQCh. 7 - Prob. 4RQCh. 7 - Prob. 5RQCh. 7 - Prob. 6RQCh. 7 - Prob. 7RQCh. 7 - Prob. 8RQCh. 7 - Prob. 9RQCh. 7 - Prob. 10RQ
Ch. 7 - Prob. 11RQCh. 7 - Prob. 12RQCh. 7 - Prob. 13RQCh. 7 - Prob. 14RQCh. 7 - Prob. 15RQCh. 7 - Prob. 16RQCh. 7 - How is heat different from temperature?Ch. 7 - Prob. 18RQCh. 7 - Prob. 19RQCh. 7 - Prob. 20RQCh. 7 - Prob. 21RQCh. 7 - Prob. 22RQCh. 7 - Could an object be orbiting another object and we...Ch. 7 - Prob. 24RQCh. 7 - How Do We Know? How is the macroscopic world you...Ch. 7 - Prob. 1PCh. 7 - Answer these questions for celestial bodies at...Ch. 7 - Prob. 3PCh. 7 - Prob. 4PCh. 7 - Prob. 5PCh. 7 - Prob. 6PCh. 7 - Prob. 7PCh. 7 - Prob. 8PCh. 7 - Prob. 9PCh. 7 - Prob. 10PCh. 7 - Prob. 11PCh. 7 - Prob. 12PCh. 7 - Prob. 1SOPCh. 7 - Prob. 2SOPCh. 7 - Prob. 1LTLCh. 7 - Prob. 2LTLCh. 7 - Prob. 3LTLCh. 7 - Prob. 4LTLCh. 7 - Prob. 5LTLCh. 7 - Prob. 6LTLCh. 7 - Prob. 7LTL
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- Briefly explain why the intensities of rotational spectral lines increase with increasing J and pass through a maximum before tailing off as J becomes large.arrow_forwardThere is no limit to the size ahydrogen atom can attain, provided it is free from disruptive outside influences. In fact, radio astronomers have detected radiationfrom large, so-called “Rydberg atoms” in the diffuse hydrogen gasof interstellar space. (a) Find the smallest value of n such that theBohr radius of a single hydrogen atom is greater than 8.0 microns,the size of a typical single-celled organism. (b) Find the wavelength of radiation this atom emits when its electron drops fromlevel n to level n - 1. (c) If the electron drops one more level, fromn - 1 to n - 2, is the emitted wavelength greater than or lessthan the value found in part (b)? Explain.arrow_forwardWhat are Weakly Interacting Gases ?arrow_forward
- One cubic meter of atomic hydrogen at 0°C at atmospheric pressure contains approximately 2.70 × 10 25 atoms. The first excited state of the hydrogen atom has an energy of 10.2 eV above that of the lowest state, called the ground slate. Use the Boltzmann factor to find the number of atoms in the first excited slate (a) at 0 ºC and at (b) (1.00 × 10 4 )°C.arrow_forwardWhy does the Doppler effect only find the radial velocity?arrow_forwardApproximate a molybdenum spectrum as bichromatic, with 80% of photons emitted at 18 keV and 20% of photons emitted at 20 keV. How would the spectrum look like if I filtered it with a 5 cm thick slab of Perspex, calculate the new relative weights µPerspex,18keV = 0.84 cm-1 , µPerspex,20keV = 0.67 cmarrow_forward
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