List of practice Questions

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:
What is the major factor for determining whether a medium is free space, lossless dielectric, loss of dielectric or good conductor?
The dominant mode for rectangular waveguide is:
In a waveguide, which condition always holds good?
If the peak rectified voltage from a full-wave rectifier is 15V, the approximate average rectified voltage will be:
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?
A certain JFET has transconductance 4mS with an external AC drain resistance 1.5kΩ, what is the ideal voltage gain?
The correct equivalent symbol for the AND gate with inverted inputs shown below will be:
equivalent symbol for the AND
The circuit shown is used for:
Integration
The de-Broglie wavelength of a 10 KeV electron is equal to:
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 depletion region in a semiconductor is created by:
The distance between the Sun and the Earth is 1 astronomical unit (1 AU). Jupiter takes about 11.9 Earth years to orbit around the Sun. The distance between the Sun and Jupiter, in AU, is about:
Two identical atoms of mass \( m \) are bound to each other by the Lennard-Jones potential,
\[ V = \varepsilon \left[ \left( \frac{r_0}{r} \right)^{12} - 2 \left( \frac{r_0}{r} \right)^6 \right] \] The frequency of small oscillations about the equilibrium is:
The Lagrangian of a simple pendulum, consisting of a bob of mass \( m \) suspended by a string of length \( l \), executing oscillations of amplitude \( \theta \) about the equilibrium position is given by:
An electron is confined to a box of length \( L \). If the length of the box changes to \( 2L \), how would the uncertainty of momentum of the electron change?
Which one of the following is \textit{not a linear operator?}
The first non-zero Fourier coefficient in the expansion of \( \sin^3(x) \) is:
The moment of inertia of a solid circular cylinder of radius \( a \) and height \( h \) about its axis is:
A term of the type \( \frac{\partial T}{\partial q_k} \), where \( T \) and \( q_k \) are the kinetic energy and a generalized coordinate, respectively, if occurring in the equation of motion of a system is called a:
For inverse square law forces, the mathematical statement of the virial theorem is (where \( \langle T \rangle \) and \( \langle V \rangle \) are the averages of kinetic and potential energies):
The types of constraints on the mechanical system consisting of a cylinder rolling (and possibly sliding) down an inclined plane of angle \( \alpha \) are: