Fundamentals of Physics, Volume 1, Chapter 1-20
10th Edition
ISBN: 9781118233764
Author: David Halliday
Publisher: WILEY
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Chapter 44, Problem 7Q
To determine
the correct statement regarding 3He and 4He being classified as either fermions or bosons.
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Not only particles such as electrons and protons but also entire atoms can be classified as fermions or bosons, depending on whether their overall spin quantum numbers are, respectively, half-integral or integral. Consider the helium isotopes 3He and 4He. Which of the following statements is correct? (a) Both are fermions. (b) Both are bosons. (c) 4He is a fermion, and 3He is a boson. (d) 3He is a fermion, and 4He is a boson. (The two helium electrons form a closed shell and play no role in this determination.)
(A) At what frequency will we observe spectroscopic transitions between the nuclear spin
states of a bare proton when the imposed magnetic field is 2.3486 T? To what wavelength
does this frequency correspond? (B) If we fix the frequency at 1.75 x 108 s what
magnetic field will be required to satisfy the resonance condition for spectroscopic
transitions between nuclear spin states of a proton. Use y= 26.752 x 10/Ts.
D Focus
DELL
Assume a hydrogen atom is a sphere with diameter 0.100 nm and a hydrogen molecule consists of two such spheres in contact. (a) What fraction of the space in a tank of hydrogen gas at 08C and 1.00 atm is occupied by the hydrogen molecules themselves? (b) What fraction of the space within one hydrogen atom is occupied by its nucleus, of radius 1.20 fm
Chapter 44 Solutions
Fundamentals of Physics, Volume 1, Chapter 1-20
Ch. 44 - Prob. 1QCh. 44 - Prob. 2QCh. 44 - Prob. 3QCh. 44 - Prob. 4QCh. 44 - Prob. 5QCh. 44 - Prob. 6QCh. 44 - Prob. 7QCh. 44 - Prob. 8QCh. 44 - Prob. 9QCh. 44 - Prob. 10Q
Ch. 44 - Prob. 11QCh. 44 - Prob. 1PCh. 44 - Prob. 2PCh. 44 - Prob. 3PCh. 44 - Prob. 4PCh. 44 - Prob. 5PCh. 44 - a A stationary particle 1 decays into parties 2...Ch. 44 - Prob. 7PCh. 44 - GO A positive tau , rest energy = 1777 MeV is...Ch. 44 - Prob. 9PCh. 44 - Prob. 10PCh. 44 - Prob. 11PCh. 44 - Prob. 12PCh. 44 - Prob. 13PCh. 44 - Prob. 14PCh. 44 - Prob. 15PCh. 44 - Prob. 16PCh. 44 - Prob. 17PCh. 44 - Prob. 18PCh. 44 - Prob. 19PCh. 44 - Prob. 20PCh. 44 - Prob. 21PCh. 44 - Prob. 22PCh. 44 - Prob. 23PCh. 44 - Prob. 24PCh. 44 - Prob. 25PCh. 44 - Prob. 26PCh. 44 - Prob. 27PCh. 44 - Prob. 28PCh. 44 - Prob. 29PCh. 44 - Prob. 30PCh. 44 - Prob. 31PCh. 44 - Prob. 32PCh. 44 - Prob. 33PCh. 44 - Prob. 34PCh. 44 - Prob. 35PCh. 44 - What would the mass of the Sun have to be if Pluto...Ch. 44 - Prob. 37PCh. 44 - Use Wiens law see Problem 37 to answer the...Ch. 44 - Prob. 39PCh. 44 - Prob. 40PCh. 44 - Prob. 41PCh. 44 - Due to the presence everywhere of the cosmic...Ch. 44 - SSM Suppose that the radius of the Sun were...Ch. 44 - Prob. 44PCh. 44 - Prob. 45PCh. 44 - Prob. 46PCh. 44 - Prob. 47PCh. 44 - Prob. 48PCh. 44 - Prob. 49PCh. 44 - Prob. 50PCh. 44 - Prob. 51PCh. 44 - Prob. 52PCh. 44 - Prob. 53PCh. 44 - Prob. 54P
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- Below about 80 K the specific heat at constant volume for hydrogen gas (H2) is 3/2 k per molecule, but at higher temperatures the specific heat increases to 5/2 k per molecule. What is the distance between the hydrogen nuclei?arrow_forwardWhich of the following are true (there may be multiple answers): A- Particles whose spin is a half odd-integer multiple of are called fermions. B- Particles whose spin is an integer multiple of are bosons C- The overall wavefunction of fermions is antisymmetric under the interchange of two particles (particle labels) D- The overall wavefunction of bosons is symmetric under the interchange of two particles (particle labels) E- Electrons are bosonsarrow_forwardTable 1 lists the systematic uncertainties on a matter-antimatter asymmetry, also known as charge-paritv (CP) asvmmetrv, measured for the decay of a Dº meson into a K+K¯a+n¯ final state. Given that the CP asymmetry is defined by NA- NB A NA + NB where NA = 10974± 117 and NB = 10749±116, compute the value and uncertainty on A, writing statistical and systematic uncertainties separately. You may assume that NA and Ng are uncorrelated and that the systematic uncertainties are uncorrelated. Table 1: Systematic uncertainty contributions on A for Dº → K+K¯ata¯ data. Source of systematic uncertainty Magnitude of contribution mis-reconstructed signal shape Charged particle identification momentum (p*(D°)) cut Detector asymmetry 0.001 0.004 0.002 0.001 A. Compute the total systematic uncertainty on this asymmetry.arrow_forward
- Assume that there is an isotropic hyperfine interaction between electron and nucleus (or nuclei). Using first order perturbation theory to calculate the energies of all possible spin states. Also calculate the possible ESR transitions between these states. Draw the energy level diagram and ESR spectrum. Assume you have positive isotropic coupling constant. You have electron with S=1/2 and one nucleus with I=2arrow_forwardIn symmetric fission, the nucleus of uranium (238U) splits into two nuclei of palladium (119Pd). The uranium nucleus is spherical with a radius of 7.4×10−15m. Assume that the two palladium nuclei adopt a spherical shape immediately after fission; at this instant, the configuration is as shown in the figure attached. The size of the nuclei in the figure can be calculated from the size of the uranium nucleus because the nucleus material maintains a constant density (the initial nuclear volume equals the final nuclear volume). a) Calculate the electric energy of the uranium nucleus before fission. b) Calculate the total electric energy of the palladium nuclei in the configuration shown in the figure, immediately after fission. Take into account the mutual electric potential energy of the two nuclei and also the individual electric energies of the two palladium nuclei by themselves. c) Calculate the total electric energy a long time after fission when the two palladium nuclei have moved…arrow_forwardIn symmetric fission, the nucleus of uranium (238U) splits into two nuclei of palladium (119Pd). The uranium nucleus is spherical with a radius of 7.4×10−15m. Assume that the two palladium nuclei adopt a spherical shape immediately after fission; at this instant, the configuration is as shown in the figure attached. The size of the nuclei in the figure can be calculated from the size of the uranium nucleus because the nucleus material maintains a constant density (the initial nuclear volume equals the final nuclear volume). a) Calculate the electric energy of the uranium nucleus before fission. b) Calculate the total electric energy of the palladium nuclei in the configuration shown in the figure, immediately after fission. Take into account the mutual electric potential energy of the two nuclei and also the individual electric energies of the two palladium nuclei by themselves. c) Calculate the total electric energy a long time after fission when the two palladium nuclei have moved…arrow_forward
- Assume a nucleus X2. What are the possible spin values for the nucleus?arrow_forwardTo fuse two deuterons (2H) into the helium nucleus, the nuclear force has to overcome the repulsive Coulomb force. To do that, the separation distance between two deuterons must be approximately 1.07 x 10 14 the temperature required for a deuteron to overcome the Coulomb potential barrier, assuming an energy of 3/2 kgT per deuteron (where kB is Boltzmann's constant). State your answer to the nearest tenth of MK (Megakelvin). I m. Calculatearrow_forwardWhen you lie in an MRI machine, you lie in a strong magnetic field and the protons in your body align in the z-direction to give a net magnetic moment. We can now flip all these magnetic moment by sending in a magnetic pulse from another direction. The pulse causes the arrow that represents the magnetic moment to lie flat in the xy plane. After the pulse is gone, the magnetic moment will slowly recover back to the z-direction because this is the lowest energy configuration (remember that the magnetic field in the z-direction remains present during this whole process).arrow_forward
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