List of top Questions asked in Banaras Hindu University Postgraduate Entrance Test

200 MeV of energy is obtained in the fission of one nucleus of \( ^{235}U \). A reactor is generating 1000 kW power. The rate of nuclear fission in the reactor is:
The particle \( x \) in the following nuclear reaction is:
\[ ^9_4Be + ^4_2He \rightarrow ^{12}_6C + x \]
If \( M \) is the mass of nucleus and \( A \) its atomic mass, then the packing fraction is:
The nuclei \( ^{13}_6C \) and \( ^{14}_7N \) can be described as:
The separation between adjacent energy levels of a normal multiplet is in the ratio \(3:5\). According to the Lande interval rule, what is the value of \(L\)?
The following transitions lead to the two components of sodium yellow line. The ratio of intensities of the two lines \(b\) and \(a\), \(I_b : I_a\), is:
The value of Lande \( g \)-factor for \( ^2P_{3/2} \) state is:
The beam profile of a laser operating in \(TEM_{00}\) (fundamental mode) is:
The spacing between two adjacent longitudinal modes in a plane laser resonator having separation between two mirrors, \( d = 10 \) cm, is:
For fission to take place, neutrons must have:
The activity of a sample of radioactive material is \( A_1 \) at time \( t_1 \) and \( A_2 \) at time \( t_2 \) (\( t_2>t_1 \)). Its mean life is \( T \), then:
Using Debye’s theory, atomic heat capacity of a solid at constant volume, \( C_V \) at high temperature is given by:
The orbital magnetic dipole moment of an electron in hydrogen-like atom is \( \sqrt{2} \mu_B \). What is the state of the electron?
About Stern-Gerlach Experiment, which one is \textit{not true?}
Lamb-Rutherford experiment showed that in a hydrogen atom:
The doublet splitting of the first excited state of H-atom due to spin orbit interaction (\(^2 P_{3/2} \rightarrow ^2 P_{1/2}\)) is \(0.365 \text{ cm}^{-1}\). What is the corresponding separation for \(Li^+\) atom?
The ground state spectroscopic term for \(^{17}Cl\) atom is:
The number of molecules present in the unit cell of sodium chloride is:
Density of states for a one-dimensional Fermi system is proportional to:
If \( E_H \), \( J_x \) and \( B_z \) are the Hall field, current density and magnetic field strength respectively, then Hall coefficient is given by:ॉॉ
When a small magnetic field \( H \) is applied to a magnetic material, the intensity of magnetization is proportional to:
In an orthorhombic crystal, a lattice plane cuts intercepts of lengths \( 3a \), \( -2b \), and \( 3c/2 \) along three axes. The Miller indices of the plane are:
The continuous X-ray spectrum is the result of:
Phase space area of a 1-D SHO with mass \(m\), angular frequency \(\omega\) and having energy between \(E\) and \(2E\) is:
Consider a linear collection of \( N \) independent spin 1/2 particles, each at fixed location. The entropy of the system is: