A certain radioactive nucleus X undergoes two successive -decays followed immediately…

PHYSICS · Multi-part · A Level · Physics · Particles and radiation · Particles and radiation

Problem

A certain radioactive nucleus X undergoes two successive α\alpha-decays followed immediately by one β−\beta^{-}-decay to form a stable nuclide 83210Bi^{210}_{83}\text{Bi}. (i) Starting from the given final product, work backward to determine the mass number and atomic number of the original nucleus X. (ii) For the nucleus X obtained in part (i), calculate the number of neutrons present. (iii) The stable bismuth product exists as a singly ionised cation 83210Bi+^{210}_{83}\text{Bi}^{+}. Determine the total number of electrons in this ion. (iv) Compute the neutron–proton ratio for both nucleus X and the final bismuth nucleus. Using these values, comment on how the sequence of decays brings the nuclide closer to the region of stability.

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