Answer the following questions related to radioactive decay parameters.
a. (a) Define (i) decay constant, (ii) half-life and (iii) mean life of a radioactive substance.
b. (b) Explain, without using any mathematical derivation, why an isotope that has a larger decay constant must possess a shorter half-life.
c. (c) Isotope A has a decay constant that is twice that of isotope B. Compare (i) their half-lives and (ii) their mean lives.