TS PGECET 2024 Electronics and Communication Engineering Question Paper is available for download here. Jawaharlal Nehru Technological University Hyderabad on behalf of Telangana Council of Higher Education (TGCHE) conducted TS PGECET 2024 Electronics and Communication Engineering on June 11 in Shift 1 from 10 AM to 12 PM. TS PGECET Question Paper 2024 consists of 120 MCQ-based questions in total carrying 1 mark each to be attempted in the duration of 2 hours.
TS PGECET 2024 Electronics and Communication Engineering Question Paper with Answer Key PDF
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Question 1:
If \( \begin{bmatrix} \frac{1}{\sqrt{3}} & \frac{1+i}{\sqrt{3}}
\frac{1-i}{\sqrt{3}} & \frac{K}{\sqrt{3}} \end{bmatrix} \) is a unitary matrix, then the sum of all possible values of K is
The system of equations \( \begin{bmatrix} -2 & 1 & 1
1 & -2 & 1
1 & 1 & -2 \end{bmatrix} \begin{bmatrix} x
y
z \end{bmatrix} = \begin{bmatrix} a
b
c \end{bmatrix} \) has
\( \int_{0}^{2} \int_{0}^{\sqrt{y}} e^{y/x} dx dy = \) \hfill % (Assuming 1 mark if not specified otherwise)
Let \( \vec{F} \) be a vector point function defined inside and on the surface (S) of the sphere \( x^2+y^2+z^2=1 \). Then \( \oint_S (Curl \vec{F}) \cdot \hat{n} ds = \)
Which of the following pair of functions are linearly dependent
The complete solution of \( (mz-ny)\frac{\partial z}{\partial x} + (nx-lz)\frac{\partial z}{\partial y} = ly-mx \) is
The residue of \( f(z) = \frac{z^2}{(z-1)^3(z-2)(z-3)} \) at the pole \(z=1\) is
Two numbers are drawn simultaneously from the set of integers from 1 to 12. If it is known that the sum of drawn two numbers is odd, then the probability that only one of the two numbers is a prime number, is
In a communication network, 98% of messages are transmitted correctly with no error. If the random variable X denotes the number of messages transmitted with error, then the probability that at most two messages are transmitted with error out of 1000 messages sent, is
To solve the equation \( x \log x = 1 \), using Newton-Raphson method, the iterative formula and the first approximate \( x_1 \), when \( x_0 = 1 \) is
(Assuming \(\log\) is natural logarithm \(\ln\))
The function \( \frac{dq}{dv} \) is called incremental then it is
A coil of resistance \(12 \Omega\) and inductance 18 H is suddenly connected to a dc supply of 30 V. Calculate time constant
Find the value of required resistor across AB of the following circuit to transfer maximum power?
Circuit diagram with terminal A, a 200 Ohm resistor, then a node. From this node, a 500 Ohm resistor to ground, and also a 300 Ohm resistor in series with a 10V source to ground. Terminal B is not explicitly shown, assumed to be ground for load connection from A.
For a series RLC circuit which of the following statement is not correct?
Obtain the inverse Laplace transform of \( F(s) = \frac{1}{s^2(s+2)} \)
The values of B and D of ABCD parameters of two port network respectively are
% Image: T-network: Series 1 Ohm, Shunt 4 Ohm, Series 1 Ohm.
A transfer function is given by \( H(s) = \frac{2(s+2)(s+4)}{(s+3)(s+5)(s+7)} \). Then the transfer function becomes zero when
When two, two-port networks are connected in series, then
Driving point impedance of the function \( F(s) = \frac{(s+k_1)(s+k_2)(s+k_3)}{(s+1)(s+2)(s+3)} \) is
(The question is underspecified. Assuming F(s) *is* the driving point impedance \(Z_{dp}(s)\) and it asks for a specific evaluation or property that matches one of the constant options. Option (d) is 4.)
If three equal resistances of \(12\Omega\) are connected in Delta, then each resistance of the equivalent Star is
Which of the following system is non-causal sytem?
(Typo: "sytem" should be "system")
The exponential Fourier series coefficient \( C_{-n} \) in terms of trigonometric Fourier coefficients is
The amplitude and phase spectrum of exponential Fourier Series about vertical axis respectively, is
Which of the following statement is not correct?
The Fourier transform of the following signal is \[ x(t) = \begin{cases} 1+\cos \pi t & |t|<1
0 & |t|>1 \end{cases} \]
Consider a causal LTI system with impulse response \( h(t) = e^{-bt}u(t) \). Find the output of the system for an input \( x(t) = 3e^{-at}u(t) \).
The condition for orthogonality of two functions \( x_1(t) \) and \( x_2(t) \) in terms of correlation is
Which of the following is not correct with respect to Z-transforms?
Match the following with respect to region of convergence
column-I column-II
A infinite duration causal sequence I entire z-plane except at z=0
B finite duration causal sequence II entire z-plane except at z=\(\infty\)
C infinite duration anticausal sequence III \(|z| > \alpha\), exterior of a circle of radius \(\alpha\)
D finite duration anticausal sequence IV \(|z| < \beta\), interior of a circle of radius \(\beta\)
Unilateral Z transform of x(n) is equivalent to bilateral Z-transform of
For a system to be physically realizable, the degree of numerator polynomial M and the degree of denominator polynomial N should be
The continuous time system structure which uses minimum number of integrators is
The frequency response of LTI system is given by the Fourier Transform of the _____________ of the system.
The LTI system is said to be initially relaxed system when
Phase variation with respect to frequency is given by \( \phi(\omega) = 2\omega^2 + \cos\omega \). Then, group delay of the system is
The electrical conductivity of pure semiconductor can be increased by
The electric current produced when the charge carrier concentration moves from region of higher concentration to the region of lower concentration is called
Which of the following is not correct, when the collector base junction is reverse biased?
Choose the wrong one with respect to nMOSFET compared to pMOSFET
An 'n' channel JFET has \(I_{DSS}=8mA\), \(V_P=-5V\). Determine the minimum value of \(V_{DS}\) for \(V_{GS}=-2V\) in the pinch off region.
The rise time of a BJT is 3.5 micro seconds. Find its transition frequency.
The disadvantage of the integrated circuit technology as compared with discrete components interconnected is
The SiO\(_2\) is grown by exposing the epitaxial layer to an oxygen atmosphere while being heated to about 1000\(^\circ\)C, because Silicon dioxide has the fundamental property of
LEDs are based on the principle of
In a photodiode, light produces
A shunt regulator is a type of
The maximum dc output power in a Half wave rectifier occurs when the load resistance is ____________ the diode forward resistance.
Half wave and Full wave rectifiers produce nearly identical ____________ for equal values of transformer secondary voltage.
The midband gain of an amplifier is 100 and the lower cutoff frequency is 1 KHz. Find the gain of the amplifier at a frequency of 20 Hz.
Which of the following is not correct with respect to Darlington amplifier?
When the negative feedback is applied to an amplifier of gain 100, the overall gain falls to 50. If the same feedback factor is maintained, the value of the amplifier gain required for the overall gain of 75 is
Match the following
i Voltage shunt a current sampling, voltage mixing
ii Voltage series b current sampling, current mixing
iii Current shunt c voltage sampling, current mixing
iv Current series d voltage sampling, voltage mixing
Find the operating frequency of a transistor Hartley oscillator for \(L_1 = 20\muH\), \(L_2 = 40\muH\) and mutual inductance between coils is \(2\muH\) and \(C = 1\muF\).
Wein bridge oscillator is a
A 'Class A' Common Emitter amplifier with \(V_{CC} = 20 V\) draws a current I = 5A and feed a load of \(40\Omega\) through a step-up transformer N2/N1=3.16. Find the efficiency of the amplifier when it is properly matched for maximum power supply.
To eliminate cross over distortion in Class B power amplifier, the circuit should have
Identify the following circuit
% Image: An active filter circuit using an op-amp. Input Vs through R, then to a node. From this node, R to non-inverting input of op-amp. Also from this node, C to ground. Non-inverting input also has C to ground. Op-amp is in voltage follower configuration (output connected to inverting input). Feedback resistors R1 and R1 are shown in a voltage divider from output to ground, with the tap to the inverting input if it were a non-inverting amplifier, but here it seems output is directly tied to inverting input, and R1, R1 are just setting gain of a non-inverting stage if they were properly connected. The core filter structure is two RC sections feeding the non-inverting input of an op-amp configured as a voltage follower (buffer) or a non-inverting amplifier with gain. This is a Sallen-Key topology.
The cut off frequency of the following fourth order filter is
A fourth-order filter made by cascading two identical second-order Sallen-Key low-pass filter stages. Each stage has: Input to 1K Ohm resistor, then to a node. From this node, 0.16 uF capacitor to ground. Also from this node, another 1K Ohm resistor to the non-inverting input of an op-amp. The non-inverting input also has a 0.16 uF capacitor to ground. The op-amp has feedback resistors R1 = 10K Ohm and R2 = 12.35K Ohm, configured as a non-inverting amplifier. Output of first stage feeds the input of the identical second stage.
If the input to an OP-AMP comparator is a sine wave, then the output is a
Threshold voltage at the comparator of 555 timer is approximately
Convert a decimal number 3509.14453125 into a hexadecimal number
Simplify \( AB + A\bar{C} + \overline{A}BC(AB+C) \)
Any Boolean function of n+1 variables can be implemented with _____________ multiplexer
An n-to-m line decoder is used to generate
(Note: "n-to-m line decoder" where \(m = 2^n\))
Quantization error in ADC is due to
The values of the segments 'abcdefg' of seven segment display for the BCD input of '0101'?
(Assuming standard segment labeling: a-top, b-top-right, c-bottom-right, d-bottom, e-bottom-left, f-top-left, g-middle. And BCD '0101' is decimal 5.)
The 8-to-3 encoder is also called
In priority encoder, if two or more inputs are equal to______________ will take highest priority
The characteristic equation of SR flip-flop is
The n stage Johnson counter will produce a modulus of
For n inputs, k product terms and m outputs, the internal logic of the PLA consists of
The decoder used in 32 x 8 ROM is
LEA CX,[BX][SI] instruction of 8086 microprocessor indicates {where (BX) and (SI) represent the content of BX and SI respectively}
The interrupt vector for each interrupt type in 8086 microprocessor requires_______________ memory locations
The IC 8255 is a
The \(a_{ij}\) is the ____________ of the branch directed from node \(x_i\) to \(x_j\) in signal flow graph.
Impulse response for \(t \ge 0\) of a second order control system when damping ratio = 1 is
From the following Routh array table, which tells us that there are
\(S^5\) 2 1
\(S^4\) 3 2 1
\(S^3\) -4/3 -2/3
\(S^2\) 1/2 1
\(S^1\) 2
\(S^0\) 1
Position, velocity and acceleration errors of type 2 control system respectively, are
The equation for resonant peak of second order system whose transfer function \( \frac{\omega_n^2}{s^2+2\zeta\omega_n s + \omega_n^2} \) is given by
(The question asks for the equation *for* the resonant peak \(M_r\), not the resonant frequency \(\omega_r\).)
Generally, the bandwidth of a control system indicates ______________ characteristic of the system.
Addition of a pole at the origin to a transfer function rotates the polar plot at zero and infinite frequencies by a further angle of
The main advantage of Bode plot is to
If the contour of the open-loop transfer function G(s)H(s) corresponding to the Nyquist contour in the s-plane encircle to the point ____________, the closed loop system is stable
Consider an open-loop unstable system with the transfer function \( G(s)H(s) = \frac{s+2}{(s+1)(s-1)} \) when the feedback path is closed, then the system is
The gain cross over frequency is the frequency at which the \(|G(s)H(s)|\) is
(Note: s should be \(j\omega\) for frequency response magnitude) \(|G(j\omega)H(j\omega)|\)
Which of the following is not correct with respect to Phase Lead Compensator?
The state model is ______________, the transfer function of the system is____________.
The limit cycles describe the ______________ of non-linear systems
The characteristic equation of a control system is given by \( s(s+1)(s^2+2s+1)+k(s+2)=0 \). The angles of asymptotes of the root loci are
The probability density function is given by \( f(x) = \begin{cases} C(x-1), & for 1 < x < 4
0, & otherwise \end{cases} \). Find \(P(2 < X < 3)\).
Thermal noise is independent of
The positive RF peaks of an AM voltage rise to maximum value of 12V and drop to a minimum value of 4V. Assuming single tone modulation, the modulation index is
The plot of modulation index versus carrier amplitude yields a
A DSB-SC signal can be demodulated using
The image channel rejection in superheterodyne receiver comes from
The figure of merit ratio of FM to PM for single tone modulating signal is
A narrowband FM does not have the following feature
The maximum permissible distance between two samples of a 2 kHz signal is
The main advantage of TDM over FDM is
Companding is used in PCM to
In delta modulation (DM) system, the granular noise occurs when the modulating signal
The number of bits per sample in a PCM system with sinusoidal input is increased from n to n+1. The improvement in signal to quantization noise ratio will be
Which of the following modulation scheme gives the maximum probability of error?
The input to a matched filter is given by \( S(t) = 10 \sin(2\pi \times 10^6 t), 0 < t < 1 \) second. The peak amplitude of the filter output is
(Note: The duration \(0 < t < 1\) second is very long for a 1 MHz signal. This implies many cycles. Energy of the signal will be large.)
Which of the following is incorrect?
(Assuming H refers to Entropy in Information Theory)
As the bandwidth approaches infinity, the channel capacity becomes
(Referring to Shannon-Hartley theorem: \(C = B \log_2(1 + S/N)\))
Which one of the following is true?
Flat-top sampling leads to
According to Parseval's theorem the energy spectral density curve is equal to the area under
(The question is phrased a bit oddly. "energy spectral density curve is equal to the area under..." Parseval's theorem relates energy in time domain to energy in frequency domain. The area under the Energy Spectral Density (ESD) curve *is* the total energy.)
A loop is rotating about the y-axis in a magnetic field \( B = B_0 \sin \omega t \ \hat{a}_z Wb/m^2 \). The voltage induced in the loop is due to
(Note: \(\hat{a}_z\) means the B field is in the z-direction. The loop rotates about y-axis.)
The Maxwell's equation \( \oint \vec{E} \cdot d\vec{l} \) is equal to
Which of the following function does not satisfy the wave equation?
Which one of the following is not true of a lossless line?
If in a rectangular waveguide for which \(a=2b\), the cutoff frequency for TE\(_{01}\) mode is 12 GHz, the cutoff frequency for TM\(_{11}\) is
If a small single-turn loop antenna has a radiation resistance of 0.04 \(\Omega\), how many turns are needed to produce a radiation resistance of 1 \(\Omega\)?
The array factor of an N element linear uniform array is \newline (\(\Psi = \beta d \cos\theta + \alpha\), \(\beta = \frac{2\pi}{\lambda}\), d = spacing between elements and \(\alpha\) = inter element phase shift)
In lossless medium for which \( \eta = 60\pi \), \( \mu_r = 1 \) and \( H = -0.1\cos(\omega t - z) \hat{a}_x + 0.5\sin(\omega t - z) \hat{a}_y A/m \), calculate \(\omega\).
A wave travelling in conducting medium, if its amplitude decreases by a factor of ______________ it is called penetration depth of the medium.
Which factor determines the range resolution of a radar?
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