Nuclear Physics

A heavy nucleus $N$, at rest, undergoes fission $N\to P+Q,$ where $P$ and $Q$ are two lighter nuclei. Let $\delta=M_{N}-M_{P}-M_{Q}$, where $M_{P},M_{Q}$ and $M_{N}$ are the masses of $P,Q$ and $N$, respectively.…

In a radioactive sample, $_{19}^{40}K$ nuclei either decay into stable $_{20}^{40}Ca$ nuclei with decay constant $4.5\times10^{-10}$ per year or into stable $_{18}^{40}Ar$ nuclei with decay constant $0.5\times10^{-10}$…

Paragraph: The mass of a nucleus ${ }_{Z}^{A} X$ is less than the sum of the masses of $(A-Z)$ number of neutrons and $Z$ number of protons in the nucleus. The energy equivalent to the corresponding mass difference is…

Paragraph: The mass of a nucleus ${ }_{Z}^{A} X$ is less than the sum of the masses of $(A-Z)$ number of neutrons and $Z$ number of protons in the nucleus. The energy equivalent to the corresponding mass difference is…

Assume that the nuclear binding energy per nucleon $(B / A)$ versus mass number $(A)$ is as shown in the figure. Use this plot to choose the correct choice (s) given below.

Some laws/processes are given in Column I. Match these with the physical phenomena given in Column II and indicate your answer by darkening appropriate bubbles in the $4 \times 4$ matrix given in the ORS.

Match the following columns

A nuclear reactor starts producing a radioactive nuclide $X$ from $t = 0$, at a constant rate of $\alpha$ per second. Each decay of $X$ produces energy $E_0$, which is utilized to heat a liquid of mass $m$ and specific…

List-$I$ shows different radioactive decay processes and List-$II$ provides possible emitted particles. Match each entry in List-$I$ with an appropriate entry from List-$II$, and choose the correct option. List-$I$…

The binding energy of nucleons in a nucleus can be affected by the pairwise Coulomb repulsion. Assume that all nucleons are uniformly distributed inside the nucleus. Let the binding energy of a proton be $E_{b}^{p}$ and…

A heavy nucleus $Q$ of half-life $20$ minutes undergoes alpha-decay with probability of $60\%$ and beta-decay with probability of $40\%$. Initially, the number of $Q$ nuclei is $1000$. The number of alpha-decays of $Q$…

In a radioactive decay chain, $_{90}^{232}Th$ nucleus decays to $_{82}^{212}Pb$ nucleus. Let $N_{\alpha}\text{and}N_{\beta}$ be the number of $\alpha\text{and}\beta^{-}$ particles, respectively, emitted in this decay…