Nuclear Physics

A nucleus of mass number $189$ splits into two nuclei having mass number $125$ and $64$. The ratio of radius of two daughter nuclei respectively is:

The decay constant for a radioactive nuclide is $1.5\times\,10^{-5}s^{-1}$. Atomic weight of the substance is $60g\mathrm{mole}^{-1}$, $N_{A}=6\times\,10^{23}$. The activity of $1.0\mu\,g$ of the substance is ________…

From the given data, the amount of energy required to break the nucleus of aluminium $\mathrm{Al}1327$ is __________$x\times\,10^{-3}J$ Mass of neutron $=1.00866u$ Mass of proton $=1.00726u$ Mass of Aluminium nucleus…

A sample contains $10^{-2}\mathrm{kg}$ each of two substances $A$ and $B$ with half lives $4s$and $8s$ respectively. The ratio of their atomic weights is $1:2$. The ratio of the amounts of $A$ and $B$ after $16s$ is…

If three helium nuclei combine to form a carbon nucleus then the energy released in this reaction is _____$\times 10^{-2} \mathrm{MeV}$. (Given $1 \mathrm{u}=931 \mathrm{MeV} / \mathrm{c}^2$, atomic mass of helium…

A radioactive nucleus decays by two different process. The half life of the first process is $5$ minutes and that of the second process is $30s$. The effective half-life of the nucleus is calculated to…

A nucleus with mass number $242$ and binding energy per nucleon as $7.6\mathrm{MeV}$ breaks into two fragment each with mass number $121$. If each fragment nucleus has binding energy per nucleon as $8.1\mathrm{MeV},$…

A freshly prepared radioactive source of half life $2$ hours $30$ minutes emits radiation which is $64$ times the permissible safe level. The minimum time, after which it would be possible to work safely with source,…

Assuming the experimental mass of ${}^{12}_{6}C$ as $12\text{ u}$, the mass defect of ${}^{12}_{6}C$ atom is _______ $\text{MeV}/c^2$. (Mass of proton $= 1.00727\text{ u}$, mass of neutron $= 1.00866\text{ u}$, $1\text{…

The energy released if hydrogen atoms are combined to form $^{4}_{2}\text{He}$ is __________ MeV. (Take binding energies per nucleon of $^{2}_{1}\text{H}$ and $^{4}_{2}\text{He}$ as $1.1$ MeV and $7.2$ MeV, respectively)

$7.9 \mathrm{MeV} \alpha$-particle scatters from a target material of atomic number 79. From the given data the estimated diameter of nuclei of the target material is (approximately) $\_\_\_\_$ m. $\left[\frac{1}{4 \pi…

Match the LIST-I with LIST-II $\begin{array}{|l|l|l|l|}\hline & \text{LIST-I} & & \text{LIST-II} \\ \hline \text{A.} & \begin{array}{l} { }_0^1 \mathrm{n}+{ }_{92}^{235} \mathrm{U} \\ \rightarrow{ }_{54}^{140}…