Researchers study an unknown radionuclide and observe that each decay event has the…

PHYSICS · Multi-part · CBSE · Physics · Nuclei · Nuclei

Problem

Researchers study an unknown radionuclide X\text{X} and observe that each decay event has the following characteristics: • The mass number of the nucleus remains unchanged. • The atomic number increases by exactly one unit. • An electron with kinetic energy near 0.6 MeV0.6\,\text{MeV} is detected. • No positrons are detected. Assume conservation of electric charge, nucleon number, and lepton number applies in each event. (a) Based on the observations, identify the decay mode exhibited by nuclide X\text{X}. (b) Write a general nuclear equation for one such decay transforming ZAX{}^{A}_{Z}\text{X} into its daughter Z+1AY{}^{A}_{Z+1}\text{Y}, explicitly including all emitted particles. (c) If A=137A=137 and Z=55Z=55 for the parent, give the nuclide symbol for the daughter produced in a single decay. (d) Although no neutral particles are directly detected, use charge and lepton-number conservation to argue that an additional electrically neutral particle must be emitted in every decay event.

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