Mirror Isobars Radius Formula & Calculation (N-15 vs O-15) | Modern Physics Problem 6.8 Beiser

Описание: The coulomb energy of Z protons uniformly distributed throughout a spherical nucleus of radius R is given by EC=3/5 Z(Z-1)e2/4πεoR
(a) On the assumption that the mass difference ΔM between a pair of mirror isobars is entirely due to the difference Δm between the 1 1H and neutron masses and to the difference between their coulomb energies, derive a formula for R in terms of ΔM, Δm, and Z, where Z is the atomic number of the nucleus with the smaller number of protons.
(b) Use this formula to find the radii of the mirror isobars 15 7N and 15 8O.

Step-by-step solution to Problem 23 of Chapter 11 from Arthur Beiser’s "Concepts of Modern Physics.”

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