The most radioactive of the isotopes of an element is the one with the largest value of its (a) half-life, $t_{1 / 2}$ (b) neutron number, $N ;$ (c) mass number, Z; (d) radioactive decay constant, $\lambda$
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A radioactive element, $\mathrm{X}$, decays by the sequence and with half lives, given below: $$ \begin{array}{ll} \mathrm{X}\left(\mathrm{t}_{12}=30 \mathrm{~min}\right) & \stackrel{\lambda_{1}}{\longrightarrow} \mathrm{Y}+\alpha \\ \mathrm{Y}\left(\mathrm{t}_{12}=2 \text { days }\right) & \stackrel{\lambda_{2}}{\longrightarrow} \mathrm{Z}+2 \beta \end{array} $$ Which of the following statement(s) is/are incorrect? (a) Atomic numbers of $\mathrm{X}$ and $Z$ are same (b) Disintegration constant $\lambda_{2}>\lambda_{1}$ (c) The mass number of $\mathrm{Y}$ is greater than that of $\mathrm{X}$. (d) $\mathrm{Y}$ and $Z$ are isotopes.
Of the radioactive nuclides in Table 25.1 (a) which one has the largest value for the decay constant, $\lambda ?$ (b) Which one loses $75 \%$ of its radioactivity in approximately one month? (c) Which ones lose more than $99 \%$ of their radioactivity in one month?
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