All the four entries of the 2×2 matrix $p=\left[\begin{array}{cc}{p}_{11}& {p}_{12}\\ {p}_{21}& {p}_{22}\end{array}\right]$ are nonzero, and one of its eigenvalues is zero. Which of the following statements is true?
The system of linear equations
4x + 2y = 7 2x + y = 6
has
The equation sin (z) = 10 has
For real values of x, the minimum value of the function f (x) = exp (x) + exp (-x) is
Which of the following functions would have only odd powers of x in its Taylor series expansion about the point x=0?
Which of the following is a solution to the differential equation $\frac{dx\left(t\right)}{dt}+3x\left(t\right)=0$ ?
In the following graph, the number of trees (P) and the number of cut-sets (Q) are
In the following circuit, the switch S is closed at t = 0. The rate of change of current $\frac{di}{dt}\left(0+\right)$ is given by
The input and output of a continuous time system are respectively denoted by x (t) and y (t). Which of the following descriptions corresponds to a causal system ?
The impulse response $h\left(t\right)$ of a linear time-invariant continuous time system is described by $h\left(t\right)=exp\left(\alpha t\right)u\left(t\right)+exp\left(\beta t\right)u\left(-t\right)$, where $u\left(t\right)$ denotes the unit step function, and $\alpha $ and $\beta $ are real constants. This system is stable if
The pole-zero plot given below corresponds to a
Step responses of a set of three second-order underdamped systems all have the same percentage overshoot. Which of the following diagrams represents the poles of the three systems?
Which of the following is NOT associated with a p-n junction?
Which of the following is true?
For a Hertz dipole antenna, the half power beam width (HPBW) in the E-plane is
For static electric and magnetic fields in an inhomogeneous source-free medium, which of the following represents the correct form of two of Maxwell’s equations?
In the following limiter circuit, an input voltage V_{i} = 10sin100$\mathrm{\pi}\phantom{\rule{0ex}{0ex}}$t applied. Assume that the diode drop is 0.7V when it is forward biased. The Zener breakdown voltage is 6.8V.
The maximum and minimum values of the output voltage respectively are
A silicon wafer has 100nm of oxide on it and is inserted in a furnace at a temperature above 1000^{o}C for further oxidation in dry oxygen. The oxidation rate
The drain current of a MOSFET in saturation is given by ${I}_{\mathit{D}}=K{\left({\mathit{V}}_{\mathit{G}\mathit{S}}\mathit{-}{\mathit{V}}_{\mathit{T}}\right)}^{2}\phantom{\rule{0ex}{0ex}}$ where K is a constant. The magnitude of the transconductance g_{m} is
Consider the amplitude modulated (AM) signal ${A}_{C}\mathrm{cos}{\omega}_{c}t+2\mathrm{cos}{\omega}_{m}t\mathrm{cos}{\omega}_{c}t\phantom{\rule{0ex}{0ex}}$ .For demodulating the signal using envelope detector, the minimum value of A_{c} should be