List of practice Questions

The following multiplexer gives the logic gate of a/an _____
multiplexer gives the logic gate
How many minimum number of flip-flops are required to make a mod-479 counter?
_____ is used for the removal of SiO2 from desired regions such that the desired impurities can be diffused.
The characteristic equation of JK flip-flop is ______
The values of \( \mu \) which satisfy the equation \( A^{100} \vec{x} = \mu \vec{x} \), where \( A = \begin{bmatrix} 2 & -1 \\ 0 & -2 \\ 1 & 1 \end{bmatrix} \) are
The number of flip-flops used in a decade counter is _____
For any two arbitrary events \( A \) and \( B \), which of the following is true?
A die is thrown at random, find the probability of getting 5 or a number greater than 2 and is even
The radius of convergence of Taylor's series expansion of \( f(z) = \frac{1}{(z - 1)^2} \) in powers of \( (z - 1) \) is ...
A solution of the ODE \( \frac{d^2y}{dx^2} + \frac{dy}{dx} = 0 \) is such that \( y(0) = 2 \) and \( y'(0) = 3 \). The value of \( y''(0) \) is
Complete integral of the partial differential equation \( 2\frac{\partial^2 f}{\partial q^2} + 3\frac{\partial f}{\partial q} = 6x + 2y \) is
Evaluate \( \int_C \frac{dz}{z^2 + 9} \), where \( C \) is \( |z - 3| = 4 \)
The primary advantage of using a rectangular waveguide over other transmission line types is
Fundamental principle behind the propagation of light in dielectric waveguides and optical fibers is
Determine the value of \( p \) such that the rank of matrix \( A \) is 2:
\[ A = \begin{bmatrix} 1 & 2 & 3 & 4 \\ 0 & 0 & 2 & p \\ 1 & 0 & p & 7 \end{bmatrix} \]
The matrix \( A = \begin{bmatrix} 3 & -1 & 1 \\ 1 & -5 & 1 \\ 1 & -1 & 3 \end{bmatrix} \) has eigenvalues 2, 3, 6 then the eigenvalues of \( A^4 \) are
The purpose of using a transmission line segment with a length of \( \lambda/4 \) in impedance matching is
What is the radiation pattern of a point source antenna in free space?
In which scenario would you expect the highest amount of refraction to occur when an electromagnetic wave passes from one medium to another?
Which of the following is not a source of magnetostatic fields?
If an electromagnetic wave travels in the positive \( x \)-direction, and its electric field oscillates in the \( y \)-direction, what is the polarization of the wave?
The curl of a vector field \( F \) is zero throughout a region of space. What does this imply about the behavior of \( F \)?
Which of the following assertions accurately describes Gauss's theorem?
In a transmission line with a characteristic impedance \( Z_0 \), what happens if the load impedance \( Z_L \) matches \( Z_0 \)?
Which one of the following field patterns represents a TEM wave traveling in the positive \( z \)-direction?