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).
In an inverting OP-AMP, the input bias current is -1μA, and the input and the feedback resistances are both 1MΩ. What will be the output voltage for an input voltage of 2.5V?
Which of the following devices can be used for generating a PWM signal?
A microwave receiving antenna on a satellite is pointing towards the earth. The antenna beamwidth is 50 degrees. The earth subtends 5 degrees at the satellite. What will be the noise temperature of the antenna?
Estimate the magnitude and phase of the element $S_{11}$ of the S-matrix of the circuit shown below. Assume an operating frequency of 25 MHz.
The electric field measured in the far field of an antenna at a distance of 50m is $1\text{V/m}$. The average power density at a distance of 500m from the antenna is
A quarter wave monopole antenna is situated above a perfectly conducting ground plane. It is driven by a 50V source at 500MHz through an internal impedance of 63.5Ω. The average power radiated by the antenna is
Directional derivative of $U=2x^{3}y-3y^{2}z$ at $P(1, 2, -1)$ in a direction towards $Q(3, -1, 5)$ is
Consider the equation $\operatorname{Re}(1/z)=c$, where $z$ is a complex number, $c$ is a nonzero constant and $\operatorname{Re}()$ represents the real part. The equation describes a
How many adders are required to realize a 256 point radix-2 FFT using decimation-in-time?
A uniformly distributed random signal $x[n]$ with mean $m_{x}=2$ and variance $\sigma_{x}^{2}=3$ is passed through a 3-point moving-average filter having an impulse response $\{h[n]\}=\{1/3, 1/3, 1/3\}$. What will be the mean and variance of output?
A sine wave is applied to a balanced modulator. The peak output envelope power is 1000 times the minimum output envelope power. Estimate the carrier suppression in dBc.
Consider a single error correcting (7, 4) cyclic code with generator matrix $g(x)=x^{3}+x^{2}+1$. What will be the transmitted data if received vector r is 1101101?
Consider a Golay's (23,12) code with $t$ bits of error correction capability. For what value of $t$ will the code exactly satisfy the Hamming bound?
The maximum range of a monostatic Radar is R. If a target having a Radar cross-section of $10\text{m}^{2}$ exists at $R/2$, what should be the target cross-section at $3R/2$ to result in an equal signal strength at the Radar?
The electric field intensity at a distance of 10km from an antenna having a directive gain of 10dB and radiating a total power of 60kW is
What is the characteristic impedance of a coaxial transmission line having inner conductor radius of 1mm, outer conductor radius of 2mm and dielectric constant of 4.0?
An impedance of 10-j2 ohms is connected to another impedance of $45+j5$ ohms through a transmission line having a characteristic impedance of 50 ohms. Assess the stability of this circuit.
A transmission line of characteristic impedance 75 ohms is terminated with an impedance of 50 ohms. The line length is increased from 0 (zero). What will be the locus of the input impedance at the other end of the line? (N.B.: Reference impedance of Smith Chart = 50 Ohms)
The value of the integral $\oint \frac{\sin z}{z^{3}} \, dz$ around the circle $|z|=2$ is
Which of the following functions have a jump discontinuity at $x=0$?
What would be the output of the following circuit, if a positive going unipolar pulse with an amplitude greater than Vref, is applied at the input?
What is the output voltage across the 900 ohm load in the circuit given below?
What is the transfer function of the network given below?
A voltage regulator having $Vref=1.25V$ needs to generate 5V output. Assume that $Iadj=100\mu A$ and $R1=10kohm$. What should be value of R2?
$1\text{ cm}^3$ of pure Germanium at $20^\circ\text{C}$ contains about $4.2 \times 10^{22}$ atoms, $2.5 \times 10^{13}$ free electrons and $2.5 \times 10^{13}$ holes. 0.001% of Arsenic doping donates an extra $10^{17}$ free electrons in the same volume. The approximate number of holes in one $\text{cm}^3$ in the doped semiconductor under equilibrium condition is :