Nuclear Physics

Activities of three radioactive substances $A,B$ and $C$ are represented by the curves$A,B$ and $C,$in the figure. Then their…

At time $t=0$, a material is composed of two radioactive atoms $A$ and $B$, where $N_{A}(0)=2N_{B}(0)$ The decay constant of both kind of radioactive atoms is $\lambda\,$. However, $A$disintegrates to $B$ and…

The half life of a radioactive substance is $5$ years. After $x$ years a given sample of the radioactive substance gets reduced to $6.25%$ of its initial value. The value of $x$ is ____

The average energy released per fission for the nucleus of ${ }_{92}^{235} \mathrm{U}$ is 190 MeV. When all the atoms of 47 g pure ${ }_{92}^{235} \mathrm{U}$ undergo fission process, the energy released is $\alpha…

A nucleus has mass number $A_{1}$and volume $V_{1}$. Another nucleus has mass number $A_{2}$and volume $V_{2}$. If relation between mass number is $A_{2}=4A_{1}$, then$\frac{V_{2}}{V_{1}}=$_______?

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…

In gamma ray emission from a nucleus

The nuclear activity of a radioactive element becomes $\left(\frac{1}{8}\right)^{\text{th}}$ of its initial value in$30$ years. The half-life of radioactive element is ________years?

Two lighter nuclei combine to form a comparatively heavier nucleus by the relation given below: $X12+X12=Y24$ The binding energies per nucleon $X12$ and $Y24$ are $1.1\mathrm{MeV}$ and $7.6\mathrm{MeV}$ respectively.…

A radioactive substance decays to $\left(\frac{1}{16}\right)^{\text{th}}$ of its initial activity in $80$ days. The half life of the radioactive substance expressed in days is ________?

The radius of a nucleus of mass number $64$ is $4.8$ fermi. Then the mass number of another nucleus having radius of $4$ fermi is$\frac{1000}{x},$where$x$is _________?

If the binding energy of ground state electron in a hydrogen atom is $13.6\mathrm{eV}$, then, the energy required to remove the electron from the second excited state of $\mathrm{Li}^{2+}$ will be:…