Nuclear Physics Questions

The binding energy per nucleon of deuteron (${}_1^2\text{H}$) and helium nucleus (${}_2^4\text{He}$) is $1.1\text{MeV}$ and $7\text{MeV}$ respectively. If two deuteron nuclei react to form a single helium nucleus, then the energy released is:

The energy spectrum of $\beta$ -particles [number $N(E)$ as a function of $\beta$ -energy $E$ ] emitted from a radioactive source is:

When ${}_3{\text{Li}}^7$ nuclei are bombarded by protons, and the resultant nuclei are ${}_4{\text{Be}}^8$, the emitted particles will be:

The 'rad' is the correct unit used to report the measurement of:

If the binding energy per nucleon in ${}_3{\text{Li}}^7$ and ${}_2{\text{He}}^4$ nuclei are $5.60\text{MeV}$ and $7.06\text{MeV}$ respectively, then in the reaction ${}_1{\text{H}}^1+{}_3{\text{Li}}^7\to 2{}_2{\text{He}}^4$, the energy released is:

If $M_O$ is the mass of an oxygen isotope ${}_8^{17}\text{O}$, $M_p$ and $M_n$ are the masses of a proton and a neutron respectively, the nuclear binding energy of the isotope is:

In gamma ray emission from a nucleus:

The half-life period of a radioactive element $X$ is same as the mean lifetime of another radioactive element $Y$. Initially they have the same number of atoms. Then:

Assume that a neutron breaks into a proton and an electron. The energy released during this process is:(Mass of neutron $=1.6725\times 10^{-27}\text{kg}$; mass of proton $=1.6725\times 10^{-27}\text{kg}$; mass of electron $=9\times 10^{-31}\text{kg}$)

The intensity of gamma radiation from a given source is $I$. On passing through $36\text{ mm}$ of lead, it is reduced to $I/8$. The thickness of lead which will reduce the intensity to $I/2$ will be:

A radioactive nucleus (initial mass number $A$ and atomic number $Z$) emits $3\alpha$ -particles and $2$ positrons. The ratio of number of neutrons to that of protons in the final nucleus will be:

A nucleus of mass $M+\Delta m$ is at rest and decays into two daughter nuclei of equal mass $M/2$ each. The speed of daughter nuclei is:

A nucleus of mass $M+\Delta m$ is at rest and decays into two daughter nuclei of equal mass $M/2$ each. Speed of light is $c$. If the binding energy per nucleon for the parent nucleus is $E_1$ and that for the daughter nuclei is $E_2$, then:

The above is a plot of binding energy per nucleon $E_b$, against the nuclear mass $M$; $A,B,C,D,E,F$ correspond to different nuclei. Consider four reactions:(i) $A+B\to C+\epsilon$ (ii) $C\to A+B+\epsilon$ (iii) $D+E\to F+\epsilon$ (iv) $F\to D+E+\epsilon$ where $\epsilon$ is the energy released. In which reactions is $\epsilon$ positive?

Statement - 1: Energy is released when heavy nuclei undergo fission or light nuclei undergo fusion.Statement - 2: For heavy nuclei, binding energy per nucleon increases with increasing $Z$ while for light nuclei it decreases with increasing $Z$.

If radius of ${}_{13}^{27}\text{Al}$ nucleus is estimated to be $3.6\text{ Fermi}$ then the radius ${}_{52}^{125}\text{Te}$ nucleus be nearly:

Starting with a sample of pure ${}^{66}\text{Cu}$, $7/8$ of it decays into $\text{Zn}$ in $15\text{ minutes}$. The corresponding half-life is: