1. The decay of radioactive substance is given by- tN = Noe (1),where N is the number of atoms present at time t, No is the initial number of atoms and 7 is theexponential decay constant, which is related to the decay rate of the element. The half-life thalf is theN 1time required for the number to atoms to decay by half ( No 2Solve for thalf starting from equation (1) in terms of T.Note: Use MathType to enter in T. Do not use the letter "T" from the keyboard. Don't forget themultiplication sign between variables. Use the asterisk symbol (*) for multiplication or themultiplication symbol in the math editor (orange box).thalfS

Answered: Image /qna-images/answer/6ed872cd-fba6-44a0-9120-5e51eae0fc8e.jpg

1. The decay of radioactive substance is given by N=Noe (1), where N is the number of atoms present at time t, No is the initial number of atoms and 7 is the exponential decay constant, which is related to the decay rate of the element. The half-life thalf is the N 1 = time required for the number to atoms to decay by half (- No 2 -t Solve for thalf starting from equation (1) in terms of T. Note: Use MathType to enter in T. Do not use the letter "T" from the keyboard. Don't forget the multiplication sign between variables. Use the asterisk symbol (*) for multiplication or the multiplication symbol in the math editor (orange box). thalf = S

1. The decay of radioactive substance is given by N=Noe (1), where N is the number of atoms present at time t, No is the initial number of atoms and 7 is the exponential decay constant, which is related to the decay rate of the element. The half-life thalf is the N 1 = time required for the number to atoms to decay by half (- No 2 -t Solve for thalf starting from equation (1) in terms of T. Note: Use MathType to enter in T. Do not use the letter "T" from the keyboard. Don't forget the multiplication sign between variables. Use the asterisk symbol (*) for multiplication or the multiplication symbol in the math editor (orange box). thalf = S

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter29: Nuclear Physics

Section: Chapter Questions

Problem 55AP

See similar textbooks

Similar questions

Enter 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 P43.25
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) 0.293N0
If a 1.50-cm-thick piece of lead can absorb 90.0% of the rays from a radioactive source, how many centimeters of lead are needed to absorb all but 0.100% of the rays?
Confirm that charge, electron family number, and the total number of nucleons are all conserved by the rule for (decay given in the equation ZAXNZ+1AYN1++ve. To do this, identify the values of each before and after the decay.
Does the number of radioactive nuclei in a sample decrease to exactly half its original value in one halflife? Explain in terms of the statistical nature of radioactive decay.
(a) Calculate the energy released in the neutroninduced fission reaction n+235U92Kr+142Ba+2n, given m(92Kr)=91.926269 and m(142Ba)=141.916361u. (b) Confirm that the total number at nucleons and total charge are conserved in this reaction.
If a 1.50cmthick piece of lead can absorb 90.0% of the rays from a radioactive source, how many centimeters of lead are needed to absorb all but 0.100% of the rays?
(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?
is 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.
Assume onefourth of the yield of a typical 320kT strategic bomb comes from fission reactions averaging 200 MeV and the remainder from fusion reactions averaging 20 MeV. (a) Calculate the number of fissions and the approximate mass of uranium and plutonium fissioned, taking the average atomic mass to be 238. (b) Find the number of fusions and calculate the approximate mass of fusion fuel, assuming an average total atomic mass of the two nuclei in each reaction to be 5. (c) Considering the masses found, does it seem reasonable that some missiles could carry 10 warheads? Discuss, noting that the nuclear fuel is only a part of the mass of a warhead.