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

If the volume of a cubic unit cell in Bravais lattice is \(V\), the volume of the unit cell in reciprocal lattice will be:
In a radio wave if \(E_0 = 10^{-4} \) V/m, then the magnitude of magnetic field and pointing vector is:
Consider a system of 3 fermions which can occupy any of the 4 available energy states with equal probability. The entropy of the system is:
Partition function for a gas of photons is given as \( Z \propto e^{A T^3} \). The specific heat of photon gas varies with temperature as:
In the TM mode:
For a two-dimensional free electron gas, the electron density \(n\) and Fermi energy \(E_F\) are related as:
The magnetic flux density created by an infinitely long conductor carrying a current \(I\) at a radial distance \(R\) is:
In a waveguide, which condition always holds good?
The divergence of the vector field \( \mathbf{P} = x^2 y \hat{i} + xyj \) is:
Radio waves in the frequency range 3 MHz – 30 MHz propagate through which mode of propagation?
What is the major factor for determining whether a medium is free space, lossless dielectric, loss of dielectric or good conductor?
The work done by the force \( \mathbf{F} = (4\hat{i} -3\hat{j} + 2\hat{k}) \) N in giving a 1 nC charge a displacement of \( (10\hat{i} + 2\hat{j} -7\hat{k}) \) m is:
The dominant mode for rectangular waveguide is:
At cut off the JFET channel is:
The circuit shown is used for:
Integration
If the peak rectified voltage from a full-wave rectifier is 15V, the approximate average rectified voltage will be:
A certain JFET has transconductance 4mS with an external AC drain resistance 1.5kΩ, what is the ideal voltage gain?
A certain transistor is to be operated with \( V_{CE} = 6V \). If its maximum power rating is 250 mW, what is the maximum collector current that it can handle?
The correct equivalent symbol for the AND gate with inverted inputs shown below will be:
equivalent symbol for the AND
The value of \( \frac{1}{r} \) in the \( \psi_{1,0,0}(r,\theta,\phi) \) state of a hydrogen atom is (\( a_0 \) is Bohr radius):
The eigenvalues of the operator \( \sin \left( a \frac{\partial}{\partial \theta} \right) \) corresponding to the eigenfunction \( \psi_{3,2,-2}(r,\theta,\phi) \) are:
Number of bound states for the system \( V(x) = -V_0 \delta(x-a), V_0>0 \) is:
Which of the following is not correct about Pauli spin matrices?
The de-Broglie wavelength of a 10 KeV electron is equal to:
The depletion region in a semiconductor is created by: