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

The nuclei \( ^{13}_6C \) and \( ^{14}_7N \) can be described as:
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 spacing between two adjacent longitudinal modes in a plane laser resonator having separation between two mirrors, \( d = 10 \) cm, is:
The value of Lande \( g \)-factor for \( ^2P_{3/2} \) state is:
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 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:
For fission to take place, neutrons must have:
The beam profile of a laser operating in \(TEM_{00}\) (fundamental mode) is:
About Stern-Gerlach Experiment, which one is \textit{not true?}
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 orbital magnetic dipole moment of an electron in hydrogen-like atom is \( \sqrt{2} \mu_B \). What is the state of the electron?
Lamb-Rutherford experiment showed that in a hydrogen atom:
The ground state spectroscopic term for \(^{17}Cl\) atom is:
Using Debye’s theory, atomic heat capacity of a solid at constant volume, \( C_V \) at high temperature 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 number of molecules present in the unit cell of sodium chloride is:
Density of states for a one-dimensional Fermi system is proportional to:
The continuous X-ray spectrum is the result of:
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:ॉॉ
The distribution function \( f(E) \) for a photon gas is given by:
If the entropy of a system remains constant in a thermodynamic process, the process is known as:
Phase space area of a 1-D SHO with mass \(m\), angular frequency \(\omega\) and having energy between \(E\) and \(2E\) is:
A microcanonical ensemble represents:
If the volume of a cubic unit cell in Bravais lattice is \(V\), the volume of the unit cell in reciprocal lattice will be: