GATE EC question library

The dominant mode in a rectangular waveguide is $\text{TE10,}$ because this mode has

The phase velocity of waves propagating in a hollow metal waveguide is

If a plane electromagnetic wave satisfies the equation $\frac{\partial^{2} \mathrm{E}_{\mathrm{x}}}{\partial \mathrm{z}^{2}}=\mathrm{c}^{2} \frac{\partial^{2} \mathrm{E}_{\mathrm{x}}}{\partial \mathrm{t}^{2}}$, the wave propagates in the

A transmission line is distortionless if

If a signal $f(t)$ has energy $E$, the energy of the signal $f(2 t)$ is equal to

The PDF of a Gaussian random variable $X$ is given by $\operatorname{Px}(x)=\frac{1}{3 \sqrt{2 \pi}} e^{\frac{-(x-4)^{2}}{18}}$ The probability of the event $\{X=4\}$ is

A bandlimited signal is sampled at the Nyquist rate. The signal can be recovered by passing the samples through

Let $\delta(t)$ denote the delta function. The value of the integral $\int_{-\infty}^{\infty} \delta(t) \cos \left(\frac{3 t}{2}\right) d t$ is

The Nyquist plot for the open-loop transfer function $G(s)$ of a unity negative feedback system is shown in the figure, if $G(s)$ has no pole in the right-half of $s$-plane, the number of roots of the system characteristic equation in the right-half of $s$-plane is

The root-locus diagram for a closed-loop feedback system is shown in the figure is. The system is overdamped.

If the characteristic equation of a closed-loop system is $s^{2}+2 s+2=0$, then the system is

An $8085$ microprocessor based system uses a $4 \mathrm{K} \times 8 \text{bit RAM}$ whose starting address is $\text{AA00 H}$. The address of the last byte in this $\text{RAM}$ is

For the ring oscillator shown in the figure, the propagation delay of each inverter is $100$ pico sec. What is the fundamental frequency of the oscillator output?

Consider the following two statements : $\text{Statement 1: A}$ stable multivibrator can be used for generating square wave. $\text{Statement 1: B}$ stable multivibrator can be used for storing binary information.

The $2$'s complement representation of $-17$ is

The ideal $\text{OP-AMP}$ has the following characteristics.

The effective channel length of a MOSFET in saturation decreases with increase in

MOSFET can be used as a

The current gain of a BJT is

The region of convergence of the $z$-transform of a unit step function is