List of practice Questions

The value of \( \oint_C \frac{1}{z} dz \), where \( C \) is the circle \( z = e^{i\theta}, 0 \leq \theta \leq \pi \), is:
The Region of Convergence (ROC) of the signal \( x(n) = \delta(n - k), k>0 \) is:
The Laplace transform of a signal \( X(t) \) is \[ X(s) = \frac{4s + 1}{s^2 + 6s + 3}. \] The initial value \( X(0) \) is:
Given the inverse Fourier transform of \(f(s) = \begin{cases} a - |s|, & |s| \leq a \\ 0, & |s|>a \end{cases}\).The value of \[ \int_0^\pi \left( \frac{\sin x}{x} \right)^2 dx \] is:
If \( A = [a_{ij}] \) is the coefficient matrix for a system of algebraic equations, then a sufficient condition for convergence of Gauss-Seidel iteration method is:
For applying Simpson's \( \frac{1}{3} \) rule, the given interval must be divided into how many number of sub-intervals?
A program that converts Source Code into machine code is called
Which of the following can adsorb larger volume of hydrogen gas?
Which one of the following flows in the internal circuit of a galvanic cell?
Which one of the following is not a primary fuel?
Which of the following molecules will not display an infrared spectrum?
Which one of the following behaves like an intrinsic semiconductor, at absolute zero temperature?
The energy gap (eV) at 300K of the material GaAs is
Which of the following ceramic materials will be used for spark plug insulator?
In unconventional superconductivity, the pairing interaction is
What is the magnetic susceptibility of an ideal superconductor?
The Rayleigh scattering loss, which varies as _______ in a silica fiber.
What is the near field length \(N\) that can be calculated from the relation (if \(D\) is the diameter of the transducer and \(\lambda\) is the wavelength of sound in the material)?
Which one of the following represents an open thermodynamic system?
In a new temperature scale say \( ^oP \), the boiling and freezing points of water at one atmosphere are \( 100^o P \) and \( 300^o P \) respectively. Correlate this scale with the Centigrade scale. The reading of \( 0^o P \) on the Centigrade scale is:
Which cross-section of the beam subjected to bending moment is more economical?
The velocity of a particle is given by \( V = 4t^3 - 5t^2 \). When does the acceleration of the particle become zero?
What will happen if the frequency of power supply in a pure capacitor is doubled?
Which of the following formula is used to fit a polynomial for interpolation with equally spaced data?
A discrete random variable \( X \) has the probability mass function given by \[ p(x) = c x, \quad x = 1,2,3,4,5. \] The value of the constant \( c \) is: