Embibe Experts Solutions for Chapter: Nuclear Chemistry, Exercise 3: EXERCISE-3

The activity of the radioactive sample drops to $1/64$ of its original value in $2\mathrm{hr}$ find the decay constant $\left(\mathrm{in} {\mathrm{hr}}^{-1}\right)$

The half life period of ${}_{53}\mathrm{I}^{125}$ is $60$ days. What $\%$ of radioactivity would be present after $240$ days.

At a given instant there are $25\%$ undecayed radioactive nuclei in a sample. After $10\sec$ the number of undecayed nuclei remains $12.5\%$. Calculate:

(i) mean-life (in second) of the nuclei and

(ii) The time (in second) in which the number of undecayed nuclear will further reduce to $6.25\%$ of the reduced number.

Calculate the energy released (in $\mathrm{MeV}$) in the following nuclear reaction:

${}_1{}^2\mathrm{H}+{}_1{}^2\mathrm{H}\to {}_2{}^3\mathrm{He}+{}_0{}^1\mathrm{n}$

Assume that masses of ${}_1{}^2\mathrm{H}, {}_2{}^3\mathrm{He}$ and neutron $\left(\mathrm{n}\right)$ respectively are $2.020, 3.0160$ and $1.0087$ in $\mathrm{amu}$.