The energy released when ∑ 0 decays to Λ 0 and then to a proton.

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Chapter 43, Problem 19P

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The energy released when ∑0 decays to Λ0 and then to a proton.

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3. (i) Show that the kinetic energy of an alpha particle produced by the decay of a stationary 210Th nuclide is given by To = Q ((mTh-ma)c² — Q) mThc² - Q where ma is the mass of the alpha particle, mTh is the mass of the thorium nuclide, and Q has its usual meaning in nuclear decays. Note that none of the particles are moving relativistically. (ii) To is measured to be 7.8985 MeV, mTh, is measured to be 210.015075 u, the mass of the alpha particle is measured to be 4.001506 u, and the mass of the electron is measured to be 0.0005486 u. Calculate the mass in atomic mass units of the neutral daughter nuclide pro- duced by the decay.

(ii) The decay of U238 to Th234 by alpha emission is given by: 238 U → → 234Th + He 92 90 Calculate the energy released in this decay. (Note: the atomic mass of uranium is 238.0508 u, thorium is 234.0436 u and helium is 4.0026 u).

(c) Write down the reaction describing the decay of Na to 16NE. Calculate the end-point energy (i.e., maximum kinetic energy) for the particle emitted by the Na nucleus in this decay. The atomic masses of Na and 73NE are 21.99444 u and 21.99139 u, respectively.