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238 92U decays spontaneously by α emission to 234 90Th. Calculate the total energy released by this process and the recoil velocity of the 234 90Th nucleus. The atomic masses are 238.050783 u for 238 92U and 234.043595 u for 234 90Th.
Half life period of U234 is 2.5×105 years. In how many years it will remain 25% of original amount?
In a hydrogen atom, the proton and the electron are separated by an average distance 5 ∙ 10"## �. (a) Calculate the force that the proton exerts on the electron at this distance. (b) Calculate the electric field strength at the average location of the electron.
If a plane cuts the x, y and z axes at -4, 8 and -4 what is the Miller index of the plane?
In Section 5.2, the states of the vibrational model for even-2, even-N nuclei up to the O+, 2+, 3+, 4+, 6+ three-phonon multiplet were discussed. The model also gives selection rules for y emission: the phonon number must change by exactly one unit, and only E2 transitions are permitted. Draw a vibrational level scheme showing all permitted y transitions starting with the three-phonon multiplet (use Figure 5.19 as a basis).
In Section 5.2, the states of the vibrational model for even-2, even-N nuclei up to the O+, 2+, 3+, 4+, 6+ three-phonon multiplet were discussed. The model also gives selection rules for y emission: the phonon number must change by exactly one unit, and only E2 transitions are permitted. Draw a vibrational level scheme showing all permitted y transitions starting with the three-phonon multiplet (use Figure 5.19 as a basis).
(a) Pick half a dozen or so typical examples of 2+ + 0’ transitions from the first excited states of “rotational” nuclei, 150 -= A < 190. (Use standard reference works for nuclear spectroscopic data.) Compute the ratio between the observed y decay rate and the corresponding Weisskopf estimate. Be sure to correct the measured lifetimes for internal conversion if necessary. (b) Repeat for “vibrational” nuclei, 60 < A < 150, excluding cases at closed shells. (c) Draw any apparent conclusion about the difference between “rotational” and “ vibrational’’ y transitions.
An even-2, even-N nucleus has the following sequence of levels above its Ot ground state: 2+ (89 keV), 4+ (288 keV), 6+ (585 keV), 0’ (1050 keV), 2+ (1129 keV). (a) Draw an energy level diagram and show all reasonably probable y transitions and their dominant multipole assignments. (b) By considering also internal conversion, what additional transitions and multipoles would appear?
Calculate the work done when an object of mass, 50kg is moved through a distance of 5m. (g=10m/s).
3. The half-life of radium-226 is 1600 years. If a sample of radium-226 has an original activity of 200 Bq, what will it’s activity be after 4800 years?
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