ISRO Scientist/Engineer EE Solved Papers

The area bounded by x-axis, the curve $y=f(x)$ and the lines $x=1,$ $y=b$ is equal to $\sqrt{b^2+1}-\sqrt{2}$ for all $b>1$, then $f(x)$ is

If A is a square matrix such that $A(\text{Adj } A)=\begin{bmatrix}5&0&0\\ 0&5&0\\ 0&0&5\end{bmatrix}$ then $\det(\text{Adj } A)=$

The number of non-trivial solutions of the system $x-y+z=0$, $x+2y-z=0$, $2x+y+3z=0$ is

A power station has a maximum demand of 15000 kW. The annual load factor is 50% and the plant capacity factor is 40%. The reserve capacity of the plant is

An overhead line has a span of 200 m, the weight of the line conductor is $0.5\text{ kg/m}$. If the maximum tension in the line is 1000 kg, then the sag in the line is

A single core, 2 km cable has a conductor radius of 10 mm and an insulation thickness of 17.18 mm. If the resistivity of dielectric is $6.28\times10^{12}\,\Omega\text{m}$, the insulation resistance of the cable is:

If power P available from a hydro-scheme is given by the formula $P=9.81\text{ QH}$, where Q is the flow rate through the turbine in l/s and H is the head in metres, then P will be in units of,

A hydraulic turbine having a rated speed of 250 rpm is connected to a synchronous generator. In order to produce power at 50 Hz, the number of poles required in the generator are

The load curve is useful in deciding
1. the operating schedule of generating units.
2. the total installed capacity.
Which of the above statements is/are correct?

Consider the transfer function $G(s)=\frac{10}{s}$ the frequency at which the magnitude of $G(S)=0\text{ dB}$ in bode plot is

The open loop transfer function of a unity gain negative feedback control system is given by $G(s)=\frac{K}{(s+3)*(s+7)}$. What is the value of K for which the system damping ratio is 1.0?

An open loop transfer function of a unity feedback system is given by, $G(s)=\frac{1}{(s+2)^2}$ The closed loop poles are

The transfer function $C(s)/R(s)$ for the signal flow shown in figure is

Transfer function for the following bode plot shown in the figure is

The state space equation is given as $\begin{bmatrix}\dot{x}_1\\ \dot{x}_2\end{bmatrix}=\begin{bmatrix}-3&1\\ 0&-2\end{bmatrix}\begin{bmatrix}x_1\\ x_2\end{bmatrix}+\begin{bmatrix}0\\ 1\end{bmatrix}U$, $x_1(0)=0$, $x_2(0)=0$ and $[Y]=[-1 \quad 1]\begin{bmatrix}x_1\\ x_2\end{bmatrix}$. The system is

In Force current analogy, the flux of the electrical system is analogous to of the mechanical system

The largest time constant of the characteristic equation $(s^2+2s+2)(s+3)=0$ is

The eigen values of the matrix $A=\begin{bmatrix}0&1&0\\ 0&0&1\\ 0&-2&-3\end{bmatrix}$ are

The dependent source in the circuit shown below is

If the voltage across a 5 farad capacitor is $2te^{-3t}\text{ V}$, the current through the capacitor is

A single phase 2 KVA, 100/200 V transformer is reconnected as an auto transformer such that its KVA rating is maximum. The new rating in KVA is

A 500 KVA transformer has constant losses of 500 W and copper losses at full load is 2000 W. Then at what load is the efficiency maximum?

A three phase synchronous generator is operating at 0.8 pf lagging with respect to excitation voltage. Nature of armature reaction mmf produced by the armature current is

For a 3-phase load balanced condition, each phase has the same value of

The number of parallel paths for simplex lap winding in a dc machine is