Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 42.2, Problem 42.2QQ
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Whether the statement is true or false.
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Quantum Physics
The two nuclei in the carbon monoxide (CO) molecules are 0.1128 nm apart.
The mass of the carbon atom is 1.993x10-26 kg.
The mass of the oxygen atom is 2.656x10-26 kg.
Spectroscopic measurements show that adjacent vibrational energy levels for the CO molecule are 0.269 eV.
What is the effective spring constant of the CO molecule? (Give your answer in N/m.)
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.
Chapter 42 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 42.1 - For each of the following atoms or molecules,...Ch. 42.2 - Prob. 42.2QQCh. 42.2 - Prob. 42.3QQCh. 42 - Prob. 1PCh. 42 - Prob. 2PCh. 42 - Prob. 3PCh. 42 - Prob. 4PCh. 42 - Prob. 5PCh. 42 - The photon frequency that would be absorbed by the...Ch. 42 - Prob. 8P
Ch. 42 - Prob. 9PCh. 42 - Prob. 10PCh. 42 - (a) In an HCl molecule, take the Cl atom to be the...Ch. 42 - Prob. 12PCh. 42 - Prob. 13PCh. 42 - Prob. 14PCh. 42 - Prob. 15PCh. 42 - Prob. 16PCh. 42 - Prob. 17PCh. 42 - Prob. 19PCh. 42 - Prob. 21PCh. 42 - Prob. 22PCh. 42 - Prob. 23PCh. 42 - Prob. 24PCh. 42 - Prob. 25PCh. 42 - Prob. 26PCh. 42 - Prob. 27PCh. 42 - Prob. 28PCh. 42 - Prob. 29PCh. 42 - Prob. 30PCh. 42 - Prob. 32PCh. 42 - Prob. 33PCh. 42 - Prob. 35PCh. 42 - Prob. 36APCh. 42 - Prob. 37APCh. 42 - Prob. 39APCh. 42 - Prob. 40APCh. 42 - As an alternative to Equation 42.1, another useful...
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- A gas of identical diatomic molecules absorbs electromagnetic radiation over a wide range of frequencies. Molecule 1, initially in the υ = 0 vibrational state, makes a transition to the υ = 1 state. Molecule 2, initially in the υ = 2 state, makes a transition to the υ = 3 state. What is the ratio of the frequency of the photon that excited molecule 2 to that of the photon that excited molecule 1? (a) 1 (b) 2 (c) 3 (d) 4 (e) impossible to determinearrow_forwardThe two nuclei in the carbon monoxide (CO) molecules are 0.1128 nm apart. The mass of the carbon atom is 1.993x10-26 kg. The mass of the oxygen atom is 2.656x10-26 kg. What is the first excited rotational energy level for the CO molecule? (Give the your answer in meV.)arrow_forwardYou are doing a senior thesis project that involves research into astronomical observations. In interstellar space, highly excited hydrogen atoms called Rydberg atoms have been observed, and can be useful in analyzing astronomical environments. In these atoms, the quantum number n is very high. In preparation for an upcoming publication, your supervisor asks you to determine the quantum number of a Rydberg atom for which the classical and quantum predictions of the wavelength of a Δn = 1 transition are within 0.500% of each other.arrow_forward
- One description of the potential energy of a diatomic molecule is given by the Lennard–Jones potential, U = (A)/(r12) - (B)/(r6)where A and B are constants and r is the separation distance between the atoms. For the H2 molecule, take A = 0.124 x 10-120 eV ⋅ m12 and B = 1.488 x 10-60 eV ⋅ m6. Find (a) the separation distance r0 at which the energy of the molecule is a minimum and (b) the energy E required to break up theH2 molecule.arrow_forwardatoms can occupy only certain discrete energy levels. Consider a gas at a temperature of 2 500 K whose atoms can occupy only two energy levels separated by 1.50 eV, where 1 eV (electron volt) is an energy unit equal to 1.60 × 10-19 J. Determine the ratio of the number of atoms in the higher energy level to the number in the lower energy level.arrow_forwardProtons and neutrons are spin-1/2 particles in the nucleus. Find the average energy of the protons as well as the neutrons in the nucleus of a uranium atom, which contains 92 protons and 143 neutrons and has the shape of a sphere of radius of 7.4 × 10−15 m.arrow_forward
- An atom has a mass of 1.17 × 10-26 kg. If we consider this atom vibrating with simple harmonic motion with a force constant of k =49.8 N/m (c = 3.00 × 108 m/s, h = 6.626 × 10-34 J ∙ s, ħ = 1.055 × 10-34 J ∙ s, 1 eV = 1.60 × 10-19 J) Determine the ground state energy of this system, in hundredths of electron Volts. (answer x 10-2 eV). Please give your answer with two decimal places.arrow_forwardA magnetic field is applied to a freely floating uniform iron sphere with radius R = 2.00 mm. The sphere initially had no net magnetic moment, but the field aligns 12% of the magnetic moments of the atoms (that is, 12% of the magnetic moments of the loosely bound electrons in the sphere, with one such electron per atom). The magnetic moment of those aligned electrons is the sphere’s intrinsic magnetic moment .What is the sphere’s resulting angular speed v?arrow_forwardif the chlorine molecule at 290K were to rotate at the angular frequency predicted by the equipartition theorem what would be the average centipital force ? ( the atoms of Cl are 2 x 10-10 m apart and the mass of the chlorine atom 35.45 a.m.u )arrow_forward
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