Chapter 23 Nuclear Physics Selected Isotope …

1 Chapter 23 Nuclear PhysicsSelected Isotope MassesHomework # 23 Nuclear PhysicsSelected Isotope MassesHomework # the Table of " Selected isotopes " on this first two pages of this StructureI01. What is the rest energy of anaparticle?02. Convert the mass of a pi meson (139 MeV/c2) to atomic mass What is the approximate radius of a2860 Ninucleus?04. What is the approximate value ofAfor a nucleus with a radius of x 10-15m?05. How much energy must anaparticle have to just barely "touch" the surface of a92238 Unucleus? [Hint: Theaparticle must have enough (kinetic) energy to overcome the electrostatic potential energy that exists when thetwo nuclei touch (radius ofaparticle plus radius of92238 Unucleus).]Binding Energy & Nuclear ForcesI06. Estimate the total binding energy of )816Ob.)1635Sc.)79197 Aud.)82208 PbII07. Calculate the total _____ ) binding energyb.) binding energy per nucleon08. What is the binding energy of the last neutron in a714 Nnucleus? [Hint: compare the mass of the714 Nto thecombined mass of713N+01n.]

2 ]09. How much energy would be required to remove a single neutron from a714 Nnucleus?10. Show that the nucleus48Be(mass = u) is unstable to decay into Determine if612 Cis stable against decay into 23 Nuclear Structure/Binding Energy and Nuclear ForcesHomework # 177 x ) MeVb.) MeVc.) MeVd.) ) MeVb.) MeV10.()m< u < u2 particlesBe48a11.()m> u > u3 particlesC612aSee the Table of " Selected isotopes " on this first two pages of this A92232 Unucleus emits anaparticle with MeV of kinetic ) What is the daughter nucleus?b.) What is the approximate mass of the daughter nucleus?02. State whether or not each of the following decays are possible. Provide energy calculations as support for )92236UU+n92235 b.)816OO+n815 c.)1123 NaNa + n1122 d.)82211 PbPb + n82210 03. A nucleus of612 Cin an exited state emits a as it drops to its ground state. What is the mass of theexcited carbon atom?04. A93239 Npnucleus undergoes ) Write the complete equation for this ) How much energy is released in this decay?

3 05. A1023Ne(mass = u) undergoes ) Write the complete equation for this ) What is the maximum kinetic energy of the emitted electron?c.) What is the energy of the neutrino when the electron has its maximum energy?d.) What is the minimum kinetic energy of the emitted electron?e.) What is the energy of the neutrino when the electron has its minimum energy?06. A815 Oundergoes ab+ ) Write the complete equation for this ) What is the maximum kinetic energy of the emitted proton?c.) What is the energy of the neutrino when the proton has its maximum energy?d.) What is the minimum kinetic energy of the emitted proton?e.) What is the energy of the neutrino when the proton has its minimum energy?07. Write the complete decay equation to describe a3681 Krnucleus undergoing an electron capture In a decay series, a92235 Unuclide becomes82207Pb. How manyaandb-particles are emitted in this series? Chapter 23 Nuclear Radioactivity-Alpha, Beta, and Gamma Decays Homework # 178 )90228 Thb.) ) Impossible ( MeV)b.

4 Impossible ( MeV) ) Impossible ( MeV)d.) Impossible ( MeV) ) ) MeVc.) 0 MeVd.) 0 MeVe.) ) MeVc.) 0 MeVd.) 0 MeVe.) , 4b-decaysSee the Table of " Selected isotopes " on this first two pages of this A sample of radioactive material produces 1560 decays per minute when first tested and 390 decays per h later. What is its half-life?02. What is the half-life of1124 Naif it has a decay constant of x 10-5s-1?03. What is the decay constant of92235 Uwhich has a half-life of x 108years?04. What is the activity of a sample of614 Cthat contains x 1021nuclei, if it has a half-life of 5730 years?05. What fraction of a sample of1532P, which has a half-life of about 14 days, will remain after 42 days?06. How many nuclei of49115In, which has a half life of x 1014years, are present in an iron ore if an activityregisters decays per second?II07. A sample of91231Pa(T=.x123 276 104yr) contains x ) What is the decay constant?b.) What is the approximate number of decays/min?

5 08. The activity of a sample of pure1431Si(T=.12157 3 minutes) is being ) How many nuclei are initially present?b.) What is the initial activity?c.) How many nuclei are present after h?d.) What is the activity after h?e.) How much time elapses from the start of monitoring until the activity drops to % of the original sample?f.) How much time elapses from the start of monitoring will the activity to drop to about 1 per second?09. What is the activity of a sample of pure76191Os(T=.x12133 106s)?10. The activity of a sample of53131I(T=.x12695 105s) What is the mass of the sample?11. The activity of a sample drops by a factor of 10 in ) What is its half-life?b.) What might be the identity of this nuclide?12. A sample of pure carbon is (T=125730 yr). How many disintegrations occur each second?13. A radioactive nuclide produces 6740 decays per minute initially, and 1400 decays per minute exactly 1 day ) What is its half-life?b.) What might be the identity of this nuclide?

6 Chapter 23 Nuclear Half-Life and Rate of DecayHomework # 179 x 104s ( h) x x 1010 x ) x 10-13s-1b.) x 106 ) x ) x 1012decays/sc.) x 1015nucleid.) x 1011decays/se.) hf.) 111 x 1010 ) minutesb.) x 1010 ) hb.)82212Pb