Prepare for ISRO ICRB examinations with verified solutions covering Algorithms, Theory of Computation, Compiler Design, Computer Architecture, OS, Discrete Mathematics, and Computer Networks.
Marking scheme: +3.00 positive, -0.75 negative (ICRB Standard).
Which of the following is the error transfer function for negative feedback?
The following system $\frac{4s + 1}{4s^2 + 1}$ is
The bode plot of the delay transfer function $e^{-3s}$ has the following shape
What is the correct statement of the Cauchy residue theorem used in the Nyquist criterion (m and n are the number of poles and zeros respectively)?
When converting the following system into the standard state space form $\ddot{x} + 3\dot{x} - 9x = 3 \sin(\omega t)$ the resultant A matrix is
The matrix used for calculating the controllability is
The standard form of a PID controller is
For a standard second order polynomial given by $G(s) = a_2 s^2 + a_1 s + a_0$ according to the Routh test, the stability criterion is given by
Two infinitely long wire separated by a distance 5 m, carrying current I in opposite direction. If $I = 10\text{A}$ then the magnetic field intensity at point 'P' (located between the wires at a distance of 1 m from the right-hand wire) is:
Characteristic impedance of a transmission line is 50 Ω. Input impedance of open circuited line is $Z_{oc} = 100 + j150\ \Omega$. The value of short circuited input impedance is
The characteristic equation of a closed loop system is $s^2 + 2s + 2 = 0$. Then the system is
A 12V battery discharges for 20 minutes at a constant current of 2A and terminal voltage drops linearly from 12V to 10V. What is the total energy delivery by the battery during this time?
In the given circuit, if $I_1 = 10\text{A}$, calculate the value of $V_s$:
Find $V_A$ in the given circuit:
For obtaining maximum power from a solar cell, it should operate on which portion of its V-I characteristics?
Commonly used Thermistors for temperature measurement have
Change in magnetic flux in coil of 30 turns is 0.1 weber/second. What is the value of induced EMF?
Neglecting saturation, if the current taken by DC series motor is increased from 10A to 12A, percentage increase in the torque will be
A DC shunt generator produces 450A at 230V. The resistance of shunt field and armature are 50 ohms and 0.025 ohm respectively. The armature voltage drop will be
The rotor current frequency in an induction motor operating at 50 Hz, with 4% slip is
In a chopper circuit, the thyristor is switched OFF at regular intervals by adopting
Wein-Bridge is commonly used for the measurement of
Q factor of a coil is given by
After firing a SCR, if the gate pulse is removed, then the current in the SCR
Which option replaces the question mark?
(1 Mark)