(a) Define the term ‘activity’ of a given sample of radionuclide. Write the expression for the law of radioactive decay in terms of the activity of a given sample. (b) A radioactive isotope has a half life of T years. How long will it take the activity to reduce to 3.125% of its original value? (c) When a nucleus (X) undergoes β-decay, and transforms to the nucleus (Y), does the pair (X, Y) form isotopes, isobars or isotones? Justify your answer.

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(a) Define the term ‘activity’ of a given sample of radionuclide. Write the expression for the law of radioactive decay in terms of the activity of a given sample.

(b) A radioactive isotope has a half life of T years. How long will it take the activity to reduce to 3.125% of its original value?

(c) When a nucleus (X) undergoes β-decay, and transforms to the nucleus (Y), does the pair (X, Y) form isotopes, isobars or isotones? Justify your answer. 

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