Seema Saini Solutions for Chapter: Nuclear Chemistry, Exercise 3: DPP 6.3

Two radioactive materials ${\mathrm{X}}_1$ and ${\mathrm{X}}_2$ have decay constants $10/\mathrm{\lambda }$ and $\mathrm{\lambda },$ respectively. If initially they have the same number of nuclei, then the ratio of the number of nuclei of ${\mathrm{X}}_1$ to that of ${\mathrm{X}}_2$ will be $1/\mathrm{e}$ after a time

One of the hazards of nuclear explosion is the generation of ${}^{90}\mathrm{Sr}$ and its subsequent incorporation in bones. This nuclide has a half-life of $28.1 \mathrm{year}$. Suppose one microgram was absorbed by a new-born child, how much ${}^{90}\mathrm{Sr}$ will remain in his bones after $20 \mathrm{year}$?

Half-life of a radioactive sample is $2\mathrm{x}$ years. What fraction of this sample will remain undecayed after $\mathrm{x}$ years?

Radioactive disintegration rate is affected by

The rate of decay per second of a radioactive sample

Which of the following relation(s) is/are correct?

It is observed that only $0.39\%$ of the original radioactive sample remains undecayed after eight hours. Hence,

Radon undergoes decay by $\alpha$-emission

${}_{88}{}^{222}\mathrm{Rn} \stackrel{{\mathrm{t}}_{1/2}=3.8 \mathrm{d}}{\to } {}_{84}{}^{218}\mathrm{Po}{+}_2^4\mathrm{He}$

Which of the following statements will be true for this decay process?