List of top Physics Questions on Nuclear physics asked in JEE Main

For a nucleus of mass number $ A $ and radius $ R $, the mass density of the nucleus can be represented as:

Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): The binding energy per nucleon is found to be practically independent of the atomic number $ A $, for nuclei with mass numbers between 30 and 170.
Reason (R): Nuclear force is long range.
In the light of the above statements, choose the correct answer from the options given below:

Match the LIST-I with LIST-II

\[ \begin{array}{|l|l|} \hline \text{LIST-I} & \text{LIST-II} \\ \hline A. \ ^{236}_{92} U \rightarrow ^{94}_{38} Sr + ^{140}_{54} Xe + 2n & \text{I. Chemical Reaction} \\ \hline B. \ 2H_2 + O_2 \rightarrow 2H_2O & \text{II. Fusion with +ve Q value} \\ \hline C. \ ^3_1 H + ^2_1 H \rightarrow ^4_2 He + n & \text{III. Fission} \\ \hline D. \ ^1_1 H + ^3_1 H \rightarrow ^4_2 H + \gamma & \text{IV. Fusion with -ve Q value} \\ \hline \end{array} \]

Choose the correct answer from the options given below:

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): The density of the copper ($^{64}Cu$) nucleus is greater than that of the carbon ($^{12}C$) nucleus.
Reason (R): The nucleus of mass number A has a radius proportional to $A^{1/3}$.
In the light of the above statements, choose the most appropriate answer from the options given below:

Choose the correct nuclear process from the below options:
$ [ p : \text{proton}, n : \text{neutron}, e^- : \text{electron}, e^+ : \text{positron}, \nu : \text{neutrino}, \bar{\nu} : \text{antineutrino} ] $

Energy released when two deuterons $ \text{(H}_2\text{)} $ fuse to form a helium nucleus $ \text{(He}_4\text{)} $ is:

A solid sphere and a hollow sphere of the same mass and of the same radius are rolled on an inclined plane. Let the time taken to reach the bottom by the solid sphere and the hollow sphere be $ t_1 $ and $ t_2 $, respectively, then:

For a nucleus of mass number $A$ and radius $R$, mass density $\rho$. Then choose the correct option.

For a nucleus of mass number $ A $ and radius $ R $, mass density is $ \rho $. Then choose the correct option.

A solid sphere and a hollow sphere of the same mass and of the same radius are rolled on an inclined plane. Let the time taken to reach the bottom by the solid sphere and the hollow sphere be $ t_1 $ and $ t_2 $, respectively, then:

Let $ u $ and $ v $ be the distances of the object and the image from a lens of focal length $ f $. The correct graphical representation of $ u $ and $ v $ for a convex lens when $ |u|>f $, is:

Choose the correct nuclear process from the below options:

In a hypothetical fission reaction
$^{92}X^{236} \rightarrow ^{56}Y^{141} + ^{36}Z^{92} + 3R$ The identity of emitted particles (R) is:

Which of the following nuclear fragments corresponding to nuclear fission between neutron \[\left( ^1_0 n \right) \, \text{and uranium isotope} \, \left( ^{235}_{92} \text{U} \right) \, \text{is correct:}\]

In an alpha particle scattering experiment, distance of closest approach for the $\alpha$ particle is $4.5 \times 10^{-14} \, \text{m}$. If the target nucleus has atomic number 80, then maximum velocity of $\alpha$-particle is ______ $ \times 10^5 \, \text{m/s} $ approximately.
\[ \left( \frac{1}{4\pi \epsilon_0} = 9 \times 10^9 \, \text{SI unit}, \, \text{mass of } \alpha \, \text{particle} = 6.72 \times 10^{-27} \, \text{kg} \right) \]

The binding energy of a certain nucleus is $18 \times 10^8 \, \text{J}$. How much is the difference between the total mass of all the nucleons and the nuclear mass of the given nucleus?

The explosive in a hydrogen bomb is a mixture of $ ^2\text{H} $, $ ^3\text{H} $, and $ ^6\text{Li} $ in some condensed form. The chain reaction is given by\[_3^6\text{Li} + _0^1\text{n} \rightarrow _2^4\text{He} + _1^3\text{H}\]\[_1^2\text{H} + _1^3\text{H} \rightarrow _2^4\text{He} + _0^1\text{n}\]During the explosion, the energy released is approximately ____.[Given: $ M(\text{Li}) = 6.01690 \, \text{amu} $, $ M(^3\text{H}) = 2.01471 \, \text{amu} $, $ M(_2^4\text{He}) = 4.00388 \, \text{amu} $, and $ 1 \, \text{amu} = 931.5 \, \text{MeV} $]

The energy released in the fusion of 2 kg of hydrogen deep in the sun is $E_H$ and the energy released in the fission of 2 kg of $^{235}U$ is $E_U$. The ratio $\frac{E_H}{E_U}$ is approximately:

The atomic mass of $_{6}^{12}C$ is 12.000000 u and that of $_{6}^{13}C$ is 13.003354 u. The required energy to remove a neutron from $_{6}^{13}C$, if mass of neutron is 1.008665 u, will be :

A star has 100\% helium composition. It starts to convert three $^4$He into one $^{12}$C via the triple alpha process as \[ ^4\text{He} + ^4\text{He} + ^4\text{He} \rightarrow ^{12}\text{C} + Q. \] The mass of the star is $2.0 \times 10^{32}$ kg and it generates energy at the rate of $5.808 \times 10^{30}$ W. The rate of converting these $^4$He to $^{12}$C is $n \times 10^{42}$ s$^{-1}$, where $n$ is ______.
[Take, mass of $^4$He = 4.0026 u, mass of $^{12}$C = 12 u]

If $M_0$ is the mass of isotope $^{{12}}_{{5}}B$, $M_p$ and $M_n$ are the masses of proton and neutron, then nuclear binding energy of isotope is:

If three helium nuclei combine to form a carbon nucleus then the energy released in this reaction is .......... × 10^–2 MeV.
(Given 1 u = 931 MeV/c² , atomic mass of helium = 4.002603 u)

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 _____.

In a nuclear fission process, a high mass nuclide (A ≈ 236) with binding energy 7.6 MeV/Nucleon dissociated into middle mass nuclides (A ≈ 118), having binding energy of 8.6 MeV/Nucleon. The energy released in the process would be ____ MeV.

If the mass defect in a nuclear reaction is $0.4$ $gm$ then find the $Q$ value of the reaction.