Recent questions tagged gate2017-ee-1

The probability that a $k$-digit number does NOT contain the digits $0, 5$ or $9$ is$0.3^{k}$$0.6^{k}$$0.7^{k}$$0.9^{k}$

The figure shows the single line diagram of a power system with a double circuit transmission line. The expression for electrical power is $1.5 \sin \delta$, where $\delt...

The positive, negative, and zero sequence reactances of a wye-connected synchronous generator are $0.2$pu, $0.2$pu, and $0.1$pu, respectively. The generator is an open ci...

Six people are seated around a circular table. There are at least two men and two women. There are at least three right-handed persons. Every women has a left-handed pers...

The expression $\frac{(x+y)-|x-y|}{2}$ is equal toThe maximum of $x$ and $y$The minimum of $x$ and $y$$1$None of the above.

Find the smallest number $y$ such that $y \times 162$ is a perfect cube.$24$$27$$32$$36$

Rahul, Murali, Srinivas and Arul are seated around a square table. Rahul is sitting to the left of Murali. Srinivas is sitting to the right of Arul. Which of the followin...

Research in the workplace reveals that people work for many reasons ________.Money besideBeside moneyMoney besidesBesides money

A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour lines are shown at $25$m...

The figure below shows an uncontrolled diode bridge rectifier supplied from a $220$V, $50$Hz, $I$-phase ac source. The load draws a constant current $I_{0}=14A$. The cond...

The circuit shown in the figure uses matched transistors with a thermal voltage $V_{T}=25$m V. The base currents of the transistors are negligible. The value of the resis...

Consider a causal and stable $LTI$ system with rational transfer function $H(z)$, whose corresponding impulse response begins at $n=0$. Furthermore, $H(1)=\frac{5}{4}$. T...

For a system having transfer function $G(s)=\frac{-s+1}{s+1}$, a unit step input is applied at time $t=0$. The value of the response of the system at $t=1.5 sec$ (rounded...

A separately excited $DC$ generator supplies $150$A to a $145$V DC grid. The generator is running at $800$RPM. The armature resistance of the generator is $0.1\Omega$. If...

A three-phase, three winding $\Delta / \Delta / Y (1.1kV/6.6kV/400V)$ transformer is energized from $AC$ mains at the $1.1kV$ side. It supplies $900kVA$ load at $0.8$ pow...

A $220$V DC series motor runs drawing a current of $30$ A from the supply. Armature and field circuit resistances are $0.4\Omega$ and $0.1\Omega$, respectively. The load ...

Two parallel connected, three-phase, $50$Hz, $11$kV, star-connected synchronous machines $A$ and $B$, are operating as synchronous condensers. They together supply $50$MV...

A $375$W, $230$V, $50$Hz, capacitor start single-phase induction motor has the following constants for the main and auxiliary windings (at starting): $Z_{m}=(12.50+j15.75...

The magnitude of magnetic flux density (B) in micro Teslas $(\mu T)$, at the centre of a loop of wire wound as a regular hexagon of side length $1 m$ carrying a current $...

In the circuit shown below, the maximum power transferred to the resistor $R$ is ______ W.

Only one of the real roots of $f(x)=x^{6}-x-1$ lies in the interval $1 \leq x \leq 2$ and bisection method is used to find its value. For achieving an accuracy of $0.001$...

The output expression for the Karnaugh map shown below is$B \overline{D}+BCD$$B \overline{D}+AB$$\overline{B}D+ABC$$B \overline{D}+ABC$

A load is supplied by a $230$ V, $50$ Hz source. The active power $P$ and the reactive power $Q$ consumed by the load are such that $1kW \leq P \leq 2kW$ and $1kVAR \leq ...

The load shown in the figure is supplied by a $400$V (line-to-line), $3$-phase source (RYB sequence). The load is balanced and inductive, drawing $3464$ VA. When the swit...

The transfer function of the system $Y(s)/U(s)$ whose state-space equations are given below is:$\begin{bmatrix} \dot{x}_{1}(t)\\ \dot{x}_{2}(t) \end{bmatrix}=\begin{bma...

In the system whose signal flow graph is shown in the figure, $U_{1}(s)$ and $U_{2}(s)$ are inputs. The transfer function $\frac{Y(s)}{U_{1}(s)}$ is$\frac{k_{1}}{J Ls^{2}...

Let the signal$x(t)=\sum_{k=-\infty }^{+\infty } (-1)^{k} \delta (t-\frac{k}{2000})$be passed through an LTI system with frequency response $H(\omega )$, as given in the ...