Physics Laboratory Manual
4th Edition
ISBN: 9781133950639
Author: David Loyd
Publisher: Cengage Learning
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Chapter 44, Problem 2PLA
The theory of radioactive decay can predict when each of the radioactive nuclei in a sample will decay. (a) True (b) False
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- Suppose you have a pure radioactive material with a half-life of T1/2. You begin with N0 undecayed nuclei of the material at t = 0. At t=12T1/2, how many of the nuclei have decayed? (a) 14N0 (b) 12N0(C) 34N0 (d) 0.707N0 (e) 0.293N0arrow_forwardA rare decay mode has been observed in which 222Raemits a 14C nucleus. (a) The decay equation is 222RaAX+14C . Identify the nuclide AX. (b) Find the energy emitted in the decay. The mass of 222Ra is 222.015353 u.arrow_forwardEnter the correct nuclide symbol in each open tan rectangle in Figure P43.25, which shows the sequences of decays in the natural radioactive series starting with the long-lived isotope uranium-235 and ending with the stable nucleus lead-207. Figure P43.25arrow_forward
- (a) Calculate the energy released in the a decay of 238U . (b) What fraction of the mass of a single 238U is destroyed in the decay? The mass of 234Th is 234.043593 u. (c) Although the fractional mass loss is large for a single nucleus, it is difficult to observe for an entire macroscopic sample of uranium. Why is this?arrow_forwardA radioactive sample initially contains 2.40102 mol of a radioactive material whose half-life is 6.00 h. How many moles of the radioactive material remain after 6.00 h? After 12.0 h? After 36.0 h?arrow_forwardis the heaviest stable nuclide, and its BEN is low compared with medium-mass nuclides. Calculate BEN for this nucleus and compare it with the approximate value obtained from the graph in Figure 10.7. fission of nuclei with mass numbers greater than that of Fe. are othermic processes.arrow_forward
- In the following eight problems, write the complete decay equation for the given nuclide in the complete XZAN notation. Refer to the periodic table for values of Z. decay of 226Ra, another isotope in the decay series of 238U, FIrst recognized as a new element by the Curies. Poses special problems because its daughter is a radioactive noble gas. In the following four problems, identity the parent nuclide and write the complete decay equation in the XZAN notation. Refer to the periodic table for values of Z.arrow_forward(a) Calculate the energy released in the neutron- Induced fission reaction n+235U92Kr+142Ba+2n , given m(92Kr) = 91.926269 u and m(142Ba)= 141.916361 u. (b) Confirm that the total number of nucleons and total charge are conserved in this reaction.arrow_forwardIn the following eight problems, write the complete decay equation for the given nuclide in the complete XZAN notation. Refer to the periodic table for values of Z. + decay of 50Mn.arrow_forward
- Derive an approximate relationship between the energy of (decay and halflife using the following data. It may be useful to graph the leg t1/2 against Ea to find some straightline relationship. Table 31.3 Energy and HalfLife for (Decay Nuclide E( (MeV) t1/2 216Ra 9.5 0.18 (s 194Po 7.0 0.7 s 240Cm 6.4 27 d 226Ra 4.91 1600 y 232Th 4.1 1.41010yarrow_forwardA radioactive sample has an activity R. For each of the following changes, indicate whether the activity would increase, decrease. or remain unchanged. Indicate your answers with I, D, or U. (a) The number of radioactive nuclei in the sample is doubled. (b) The half-life of the radioactive nuclei is doubled. (c) The decay constant is doubled. (d) A time period equal to two half-lives is allowed to elapse.arrow_forward56 Fe is among the most tightly bound of all nuclides.It makes up more than 90% of natural iron. Note that 56 Fe has even numbers of protons and neutrons. Calculate the binding energy per nucleon for 6Fe and compare it with the approximate value obtained from the graph in Figure 10.7.arrow_forward
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