Exercise 1

The nuclear radius of ${}_{13}{}^{27}\mathrm{Al}$ is $3.6$ fermi. Find the nuclear radius of ${}_{29}{}^{64}\mathrm{Cu}$.

Explain the processes of nuclear fission and nuclear fusion by using the plot of binding energy per nucleon $(BE/A)$ versus the mass number $A$.

How long can an electric lamp of $100\mathrm{W}$ be kept glowing by fusion of $2.0\mathrm{}\mathrm{k}\mathrm{g}$ of deuterium? Take the fusion reaction as

${}_1{}^2\mathrm{H}+{}_1{}^2\mathrm{H}\to {}_2{}^3\mathrm{H}\mathrm{e}+\mathrm{n}+3.27\mathrm{}\mathrm{M}\mathrm{e}\mathrm{V}$

Which of the following were not found conserved in $\mathrm{\beta }-$decay.

 The binding energy per nucleon for ${}_5{}^{11}\mathrm{B}$ is about $7 \mathrm{MeV}$. What is the minimum energy needed to separate the nucleons of ${}_5{}^{11}\mathrm{B}$?

In the equation ${}_{92}{}^{238}\mathrm{U}\to {}_{90}{}^{234}\mathrm{Th}+\mathrm{x}+\mathrm{Q}$

what is $\mathrm{x}$?

In the process $\mathrm{K}-$capture mass number

Which of the following reaction cannot represents $\mathrm{K}-$capture.