List of top Physics Questions on Nuclear physics

The mass of a proton is $1.0073\text{u}$ and that of a neutron is $1.0087\text{u}$. The binding energy of $_2^4\text{He}$ is approximately (Given: helium nucleus mass = $4.0015\text{u}$)}

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 \(1.1\,\text{MeV}\) and \(7.2\,\text{MeV}\), respectively).

Two nuclei of mass number 3 combine with another nucleus of mass number 4 to yield a nucleus of mass number 10. If the binding energy per nucleon for the mass numbers 3, 4 and 10 are 5.6 MeV, 7.4 MeV and 6.1 MeV, respectively, then in the process, \(\Delta Mc^2 =\) ______ MeV.

The binding energy per nucleon of \(^{209}_{83}\mathrm{Bi}\) is ________ MeV. \[ \text{Given: } m\left(^{209}_{83}\mathrm{Bi}\right)=208.980388\,u, \quad m_p=1.007825\,u, \quad m_n=1.008665\,u, \] \[ 1u = 931\,\text{MeV}/c^2 \]

Two radioactive substances A and B of mass numbers 200 and 212 respectively, shows spontaneous \(\alpha\)-decay with same Q value of 1 MeV. The ratio of energies of \(\alpha\)-rays produced by A and B is ________.

A regular hexagon is formed by six wires each of resistance \( r \,\Omega \) and the corners are joined to the centre by wires of same resistance. If the current enters at one corner and leaves at the opposite corner, the equivalent resistance of the hexagon between the two opposite corners will be

The binding energy for the following nuclear reactions are expressed in MeV.
\[ {}^{3}_{2}\text{He} + {}^{1}_{0}\text{n} \rightarrow {}^{4}_{2}\text{He} + 20 \text{ MeV} \] \[ {}^{4}_{2}\text{He} + {}^{1}_{0}\text{n} \rightarrow {}^{5}_{2}\text{He} - 0.9 \text{ MeV} \] If \( X_3, X_4, X_5 \) denote the stability of \( {}^{3}_{2}\text{He}, {}^{4}_{2}\text{He} \) and \( {}^{5}_{2}\text{He} \), respectively, then the correct order is:

Given below are two statements:
Statement I: For all elements, greater the mass of the nucleus, greater is the binding energy per nucleon.
Statement II: For all elements, nuclei with less binding energy per nucleon transform to nuclei with greater binding energy per nucleon.
Choose the correct answer.

In the nuclear reaction $\begin{smallmatrix}197\\ 80\end{smallmatrix}X \rightarrow \begin{smallmatrix}197\\ 79\end{smallmatrix}Y + Z + v$, the particle Z is ________.

For the following reaction, the particle ' x ' is \({}_6\text{C}^{11} \longrightarrow {}_5\text{B}^{11} + \beta^+ + \text{X}\)

Balance the equation
\[ {}^9_4\text{Be} + {}^4_2\text{He} \rightarrow {}^6_12\text{C} + \cdots \]

The ratio of the radii of the nuclei \(^{64}_{29}X\) and \(^{216}_{84}Y\) is:

An experimental train uses 1 g of nuclear material to run. 90% of the produced energy is wasted to overcome the frictional force between the wheels and the track. If the weight of each coach is 18 ton (18000 kg) and it runs at a speed of 100 m s$^{-1}$, the number of coaches the engine can drag at a time is:

A radioactive sample has an average life of 30 ms and is decaying. A capacitor of capacitance 200 $\mu$F is first charged and later connected with resistor 'R'. If the ratio of charge on capacitor to the activity of radioactive sample is fixed with respect to time then the value of 'R' should be _________ $\Omega$.

Order of magnitude of density of uranium nucleus is \((m_p = 1.6 \times 10^{-27}\) kg\()\)

A neutron moving with a speed \(v\) makes a head on collision with a hydrogen atom in ground state kept at rest. The minimum kinetic energy of neutron for which inelastic collision will take place is

In a nuclear reactor, \(^{235}\text{U}\) undergoes fission liberating 200 MeV of energy. The reactor has a 10% efficiency and produces 1000 MW power. If the reactor is to function for 10 yr, then find the total mass of uranium required.

In the reaction \( {}_7N^{14} + \alpha \longrightarrow {}_8X^{17} + {}_1p^1 \), identify \( X \).