Essential University Physics: Volume 2 (3rd Edition)
3rd Edition
ISBN: 9780321976420
Author: Richard Wolfson
Publisher: PEARSON
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Chapter 37, Problem 19E
To determine
The rotational inertia of the gas molecule.
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A hypothetical NH molecule makes a rotational-level transition from l = 3 to l= 1 and gives off a photon of wavelength 1.780 nm in doing so. What is the separation between the two atoms in this molecule if we model them as point masses? (The mass of hydrogen is 1.67 * 10-27 kg, and the mass of nitrogen is 2.33 * 10-26 kg).
What is the energy of a photon emitted from a CO molecule that transitions from the rotational Ji to Ji-1 level. Express your answer in units of ℏ^2/I, so you just have an integer value as a final answer.
Values:
Ji = 3
The equation I have in the teacher's ppt is E_rotational = (J*(J+1)*ℏ^2)/(2*I)
A diatomic molecule has 18 x 105 eV of rotational energy in the I = 7 quantum
state. What is its rotational energy in the I = 0 quantum state?
%3D
Chapter 37 Solutions
Essential University Physics: Volume 2 (3rd Edition)
Ch. 37.1 - Prob. 37.1GICh. 37.2 - If a scientist uses microwave technology to study...Ch. 37.3 - Prob. 37.3GICh. 37 - If you push two atoms together to form a molecule,...Ch. 37 - Prob. 2FTDCh. 37 - Prob. 3FTDCh. 37 - Does it make sense to distinguish individual NaCl...Ch. 37 - Prob. 5FTDCh. 37 - Prob. 6FTDCh. 37 - Radio astronomers have discovered many complex...
Ch. 37 - Prob. 8FTDCh. 37 - Prob. 9FTDCh. 37 - Prob. 10FTDCh. 37 - Prob. 11FTDCh. 37 - Prob. 12FTDCh. 37 - Prob. 13FTDCh. 37 - Prob. 14FTDCh. 37 - Prob. 15FTDCh. 37 - Prob. 16ECh. 37 - Prob. 17ECh. 37 - Prob. 18ECh. 37 - Prob. 19ECh. 37 - Prob. 20ECh. 37 - Prob. 21ECh. 37 - Prob. 22ECh. 37 - Prob. 23ECh. 37 - Prob. 24ECh. 37 - Prob. 25ECh. 37 - Prob. 26ECh. 37 - Prob. 27ECh. 37 - Prob. 28ECh. 37 - Prob. 29PCh. 37 - Prob. 30PCh. 37 - Prob. 31PCh. 37 - Prob. 32PCh. 37 - Prob. 33PCh. 37 - Prob. 34PCh. 37 - Prob. 35PCh. 37 - Prob. 36PCh. 37 - Prob. 37PCh. 37 - Prob. 38PCh. 37 - Prob. 39PCh. 37 - Prob. 40PCh. 37 - Prob. 41PCh. 37 - Prob. 42PCh. 37 - Prob. 43PCh. 37 - Prob. 44PCh. 37 - Prob. 45PCh. 37 - Prob. 46PCh. 37 - Prob. 47PCh. 37 - Prob. 48PCh. 37 - Prob. 49PCh. 37 - Prob. 50PCh. 37 - Prob. 51PCh. 37 - Prob. 52PCh. 37 - Prob. 53PCh. 37 - Prob. 54PCh. 37 - The critical field in a niobium-titanium...Ch. 37 - The transition from the ground state to the first...Ch. 37 - Prob. 57PCh. 37 - Prob. 58PCh. 37 - Youre troubled that Example 37.1 neglects the mass...Ch. 37 - Prob. 60PCh. 37 - The Madelung constant (Section 37.3) is...Ch. 37 - Prob. 62PCh. 37 - (a) Count the number of electron states N(E) with...Ch. 37 - Prob. 64PCh. 37 - Prob. 65PCh. 37 - Prob. 66PCh. 37 - Prob. 67PCh. 37 - Prob. 68PPCh. 37 - Prob. 69PPCh. 37 - Prob. 70PPCh. 37 - Prob. 71PP
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- A hypothetical NH molecule makes a rotational-level transition from l=3 to l=1 and gives off a photon of wavelength 1.800 nm in doing so. What is the seperation between the two atoms in this molecule if we model them as point masses? The mass of hydrogen 1.67 * 10^-27 kg, and the mass of nitrogen is 2.33 * 10^-26 kg.arrow_forwardPhysics Let's look at the characteristic wavelength of radiation that is produced in molecular transitions. The separation between adjacent energy levels is typically a few eV for atomic energy levels, on the order of 0.1 eV for vibrational levels, and on the order of 10−3eV for rotational levels. Find the wavelength of the photon emitted during a transition in which the energy of the molecule decreases by 5.00 eV, 0.500 eV, and 5.00×10−3eV. In each case, in what region of the electromagnetic spectrum does the photon lie? What is the largest energy of a transition that produces a photon in the green region of the spectrum (495 nm to 570 nm)? Express your answer in electronvolts.arrow_forwardA hypothetical NH molecule makes a rotational-level transition from I= 3 to l = 1 and gives off a photon of wavelength 1.740 nm in doing so. What is the separation between the two atoms in this molecule if we model them as point masses? The mass of hydrogen is 1.67 * 1 kg, and the mass of nitrogen is 2.33 * 10-26 kg. 5.59*10^(-13) m O 5.62*10^(-13) m 5.59*10^(-11} m 5.59*10^(-12)m 6.59*10^(-13) marrow_forward
- The moment of inertia of water molecule about an axis bisecting the HOH angle is1.91x10-47 kg m2. Its minimum angular momentum about that axis (other than zero) is ℏ. Inclassical terms, how many revolutions per second do the hydrogen atoms make about the axiswhen in that state? Calculate the rotational constant (cm-1) and bond length of H2O. Does the bondlength seem reasonable?arrow_forwardAn H2 molecule is in its vibrational and rotational ground states. It absorbs aphoton of wavelength 2.2112 µm and makes a transition to the ν = 1, J = 1energy level. It then drops to the ν = 0, J = 2 energy level while emitting6/9SIX1011a photon of wavelength 2.4054 µm. Calculate (i) the moment of inertia of theH2 molecule about an axis through its centre of mass and perpendicular tothe H − H bond, (ii) the vibrational frequency of the H2 molecule, and (iii) theequilibrium separation distance for this molecule.arrow_forwardDiscuss the differences between the rotational and vibrational energy levels of the deuterium (“heavy hydrogen”) molecule D2 and those of the ordinary hydrogen molecule H2. A deuterium atom has twice the mass of an ordinary hydrogen atom.arrow_forward
- The characteristic rotational energy for a diatomic molecule consisting of two idential atoms of mass 14 u (unified mass units) is 3.68 e-4 eV. Calculate the separation distance between the two atoms. Subarrow_forwardThe frequency of the photon that causes the υ = 0 to υ = 1 transition in the CO molecule is 6.42 x 1013 Hz. We ignore any changes in the rotational energy for this example.(A) Calculate the force constant k for this molecule. (B) What is the classical amplitude A of vibration for this molecule in the υ = 0 vibrational state?arrow_forwardCold interstellar molecular clouds often contain the molecule cyanogen (CN), whose first rotational excited states have an energy of 4.7x 10-4 eV (above the ground state). There are actually three such excited states, all with the same energy. In 1941, studies of the absorption spectrum of starlight that passes through these molecular clouds showed that for every ten CN molecules that are in the ground state, approximately three others are in the three first excited states (that is, an average of one in each of these states). To account for this data, astronomers suggested that the molecules might be in thermal equilibrium with some "reservoir" with a well-defined temperature. What is that temperature?*arrow_forward
- A solid sphere, a thin spherical shell, and a solid cylinder each have a radius of 3 cm and a mass of 5 kg. They each rotate about an axis that goes through their center at a rate of 10 rad/s, and remain in place. Rank the rotational kinetic energies of the objects. (a) Kshell=Ksphere=KcylKshell=Ksphere=Kcyl(b) Kshell>Kcyl>KsphereKshell>Kcyl>Ksphere (c) Kshell>Ksphere>KcylKshell>Ksphere>Kcyl(d) Ksphere>Kcyl>KshellKsphere>Kcyl>Kshell (e) Ksphere>Kshell>Kcylarrow_forwardFor a certain diatomic molecule, the lowest-energy photon in the vibrational spectrum is 0.17 eV.What is the energy of a photon emitted in a transition from the 5th exited vibrational energy level to the 2nd exited vibrational energy level, assuming no change in the rotational energy?arrow_forwardThe CO molecule makes a transition from the J = 1 to the J = 2 rotational state when it absorbs a photon of frequency 2.30 x 1011 Hz. (a) Find the moment of inertia of this molecule from these data.arrow_forward
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