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DUET 2019 PhD in Informatics Institute of Informatics Communication Previous Queston Papers

Delhi University Entrance Test (DUET) 2019 PhD in Informatics Institute of Informatics Communication Previous Queston Papers

This post was last modified on 19 June 2020

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DUET Last 10 Years 2011-2021 Question Papers With Answer Key || Delhi University Entrance Test conducted by the NTA

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DU PhD in informatics IIC

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Topic:- DU_J19_PHD_INFO

If the differential voltage gain and the common mode voltage gain of a differential amplifier are 48dB and 2dB respectively, then its common rejection ratio is [Question ID = 25541]
1. 23dB [Option ID = 42159]
2. 46dB [Option ID = 42162]
3. 50dB [Option ID = 42161]
4. 25dB [Option ID = 42160]
Correct Answer :-

23dB [Option ID = 42159]
A video transmission system transmits 625 picture frames per second. Each frame consists of a 400×400 pixel grid with 64 intensity levels per pixel. The data rate of the system is [Question ID = 25555]
1. 600Mbps [Option ID = 42218]
2. 6.4Gbps [Option ID = 42216]
3. 100Mbps [Option ID = 42217]
4. 16Mbps [Option ID = 42215]
Correct Answer :-

16Mbps [Option ID = 42215]

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The minimum number of comparators required to build an 8-bit flash ADC is [Question ID = 25550]
1. 256 [Option ID = 42198]
2. 255 [Option ID = 42197]
3. 8 [Option ID = 42195]
4. 63 [Option ID = 42196]
Correct Answer :-
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8 [Option ID = 42195]
The minimum number of MOS transistors required to make a dynamic RAM cell is [Question ID = 25549]
1. 2 [Option ID = 42192]
2. 1 [Option ID = 42191]
3. 3 [Option ID = 42193]
4. 4 [Option ID = 42194]
Correct Answer :-

1 [Option ID = 42191]
Two 2's complement numbers having signs bits x and y are added and the sign bit of the result is z. Then, the occurrence of overflow is indicated by the Boolean function [Question ID = 25545]
1. Xyz [Option ID = 42175]
2. xy + yz + zX [Option ID = 42178]
3. Xyz [Option ID = 42176]
4. xyz + x y z [Option ID = 42177]
Correct Answer :-

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A 0 and 6 counter consists of 3 flip flops and a combination circuit of 2 input gate(s). The combination circuit consists of [Question ID = 25547]
1. one OR gate [Option ID = 42184]
2. two AND gate [Option ID = 42186]
3. one AND gate and one OR gate [Option ID = 42185]
4. one AND gate [Option ID = 42183]
Correct Answer :-
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one AND gate [Option ID = 42183]
X=01110 and Y=11001 are two 5-bit binary numbers represented in two's complement format. The sum of X and Y represented in two's complement format using 6 bits is [Question ID = 25543]
1. 001000 [Option ID = 42168]
2. 100111 [Option ID = 42167]
3. 101001 [Option ID = 42170]
4. 000111 [Option ID = 42169]
Correct Answer :-

100111 [Option ID = 42167]
In an M/M/1 queue for arrival rate A and service rate u, the average number of customer in the system is given by [Question ID = 25572]
1. ? / (µ+ ?) [Option ID = 42286]
2. (?- 1)/µ [Option ID = 4284]
3. ? / (µ-?) [Option ID = 42285]
4. ?/µ [Option ID = 42283]
Correct Answer :-

?/µ [Option ID = 42283]
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The depth of penetration of electromagnetic wave in a medium having conductivity o at a frequency of 1MHz is 25cm. The depth of penetration at a frequency of 4MHz will be [Question ID = 25528]
1. 12.50cm [Option ID = 42109]
2. 6.25cm [Option ID = 42107]
3. 50.0cm [Option ID = 42108]
4. 100.0cm [Option ID = 42110]
Correct Answer :-

6.25cm [Option ID = 42107]
Three identical amplifiers with each one having a voltage gain of 50, input resistance of 1k and output resistance of 2502, are cascaded. The open circuit voltage gain of the combined amplifier is [Question ID = 25542]
1. 98dB [Option ID = 42164]
2. 102dB [Option ID = 42166]
3. 51dB [Option ID = 42165]
Correct Answer :-

49dB [Option ID = 42163]
A master-slave flip-flop has the characteristic that [Question ID = 25548]
1. change in the output occurs when the state of the slave is affected. [Option ID = 42189]
2. change in the output occurs when the state of the master is affected. [Option ID = 42188]
3. change in the input immediately reflected in the output [Option ID = 42187]
4. both the master and the slave states are affected at the same time. [Option ID = 42190]
Correct Answer :-

change in the input immediately reflected in the output [Option ID = 42187]
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For an energy state E of a photon gas, the density of states is proportional to [Question ID = 25536]
1. E³/2 [Option ID = 42141]
2. E² [Option ID = 42140]
3. vE [Option ID = 42139]
4. E [Option ID = 42142]
Correct Answer :-

vE [Option ID = 42139]
The equation of motion of a bead sliding on a uniform rod rotating in a force free space is [Question ID = 25525]
1. ?-? = 0 [Option ID = 42095]
2. r-rw² = 0 [Option ID = 42098]
3. ? - ? = 0 [Option ID = 42096]
4. ? - ? + ?² = 0 [Option ID = 42097]
Correct Answer :-

?-? = 0 [Option ID = 42095]

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The line code that has zero dc component for pulse transmission of random binary data is [Question ID = 25554]
1. alternate mark inversion (AMI) [Option ID = 42213]
2. non-return to zero (NRZ) [Option ID = 42211]
3. return to zero(RZ) [Option ID = 42212]
4. none of these [Option ID = 42214]
Correct Answer :-
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non-return to zero (NRZ) [Option ID = 42211]
An integral 7 over the counter-by I = ? dz/(z² + 1) If C is defined as |z| = 3, then the value of I is [Question ID = 25565]
1. -3pisin(1) [Option ID = 42257]
2. -2pisin(1) [Option ID = 42256]
3. -4p? sin(1) [Option ID = 42258]
4. -p? sin(1) [Option ID = 42255]
Correct Answer :-

-p? sin(1) [Option ID = 42255]
If the vector function F = (3y-az)i+ (bx-2z)j-(cy + z)k Is ir-rotational then the values of the constants a, b and c are [Question ID = 25561]
1. 0.3, -2.5, 0.5 [Option ID = 42239]
2. 4.0, 3.0, 2.0 [Option ID = 42242]
3. 0.0, 3.0, 2.0 [Option ID = 42240]
4. 0.3, 0.33, 0.5 [Option ID = 42241]
Correct Answer :-

0.3, -2.5, 0.5 [Option ID = 42239]
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The Fourier transform of a signal h(t)is H(jw) = (2 cosw) (sin 2w)/?. The value of h(0) is [Question ID = 25568]
1. 1/2 [Option ID = 42267]
2. 2 [Option ID = 42269]
3. 1/4 [Option ID = 42268]
4. 1 [Option ID = 42270]
Correct Answer :-

1/2 [Option ID = 42267]
The Fourier transform F{e^-tu(t)} is equal to 1/(1+j2pf). Therefore, F{1/(1+j2nt)} is
1. e^-fu(-f) [Option ID = 42266]
2. e^fu(-f) [Option ID = 42265]
3. e^-fu(f) [Option ID = 42264]
4. e^fu(f) [Option ID = 42263]
Correct Answer :-

e^fu(f) [Option ID = 42263]

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The eigenvalues and the corresponding eigenvectors of a 2 × 2 matrix are given by
Eigenvalue        Eigenvector
?1 = 8               = [1]
?2 = 4               = [2]
[Question ID = 25559]
1. 16/24 + 6/4 [Option ID = 42232]
2. 16/24 + 6/4 [Option ID = 42231]
3. 16/24 + 6/4 [Option ID = 42233]
4. 16/24 + 6/4 [Option ID = 42234]
Correct Answer :-

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[1] [2] [Option ID = 42231]
The wave function in the ground state of H-atom is given by ?(x) = (1/vpa³)e^-r/a, the average value of r is [Question ID = 25531]
1. 3a/2 [Option ID = 42120]
2. 8 [Option ID = 42122]
3. 2a/3 [Option ID = 42121]
4. zero [Option ID = 42119]
Correct Answer :-

zero [Option ID = 42119]
Given that 3Li⁷ = 7.01816amu, 3Li⁶=6.01692amu, and on² = 1.00893amu. The binding energy of neutron in a 3Li nucleus is [Question ID = 25537]
1. 0.51MeV [Option ID = 42143]
2. 1.04MeV [Option ID = 42144]
3. 7.17MeV [Option ID = 42146]
4. 2.08NeV [Option ID = 42145]
Correct Answer :-

0.51MeV [Option ID = 42143]

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The intrinsic carrier concentration of silicon sample at 300K is 1.5 × 10¹⁶m^-3. If after doping, the number of majority carriers is 5 × 10²⁰m^-3, the minority carrier density is [Question ID = 25540]
1. 5.0 x 10²⁰m^-3 [Option ID = 42157]
2. 4.50 x 10¹¹m^-3 [Option ID = 42155]
3. 3.0 × 10^-5m^-3 [Option ID = 42158]
4. 3.33 x 10⁴m^-3 [Option ID = 42156]
Correct Answer :-
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4.50 x 10¹¹m^-3 [Option ID = 42155]
Consider the Fermi-Dirac distribution function f (E) at room temperature (300K), where E refers to energy. If Er is the Fermi energy, which of the following is true? [Question ID = 25535]
1. f(E) is a step function [Option ID = 42135]
2. f(E) is large and tends to infinity as E decreases much below EF. [Option ID = 42138]
3. States with E < EF are filled completely [Option ID = 42137]
4. f(EF) has a value of 0.5 [Option ID = 42136]
Correct Answer :-

f(E) is a step function [Option ID = 42135]
The transition probability matrix of a Markov chain, X_n , n = 1,2,3,... has states 1,2,3 is [0.1 0.5 0.4] P= [0.6 0.2 0.2] [0.3 0.4 0.3] and the initial distribution is p(0) = (0.7,0.2,0.1). Find P(X2 = 3). [Question ID = 25571]
1. 0.379 [Option ID = 42280]
2. 0.479 [Option ID = 42281]
3. 0.579 [Option ID = 42282]
4. 0.279 [Option ID = 42279]
Correct Answer :-

0.279 [Option ID = 42279]
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A rectangular waveguide of internal dimensions (a = 4cm and b = 3cm) is to be operated in TE₁₁ mode. The minimum operating frequency is [Question ID = 25529]
1. 5.0 MHz [Option ID = 42114]
2. 5.0 GHz [Option ID = 42113]
3. 6.25 GHz [Option ID = 42111]
4. 6.25 MHz [Option ID = 42112]
Correct Answer :-

6.25 GHz [Option ID = 42111]
The state of an oscillator of angular frequency wis ?(x) = e^-m?x²/h. Find <x>? [Question ID = 25530]
1. zero [Option ID = 42117]
2. 1/x [Option ID = 42116]
3. 8 [Option ID = 42118]
4. X [Option ID = 42115]
Correct Answer :-

X [Option ID = 42115]

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The PDF of a Gaussian random variable X is given by Px (x) = 1/(v(18p))e^-(x-4)²/18 The probability of the even {X = 4} is [Question ID = 25570]
1. 1 [Option ID = 42278]
2. 1/4 [Option ID = 42277]
3. 0 [Option ID = 42276]
4. 1/2 [Option ID = 42275]
Correct Answer :-
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1/2 [Option ID = 42275]
The Boolean expression (X+Y)(X + Y) + (XY) + X simplifies to [Question ID = 25546]
1. X [Option ID = 42179]
2. X+Y [Option ID = 42182]
3. XY [Option ID = 42181]
4. Y [Option ID = 42180]
Correct Answer :-

X [Option ID = 42179]
The time averaged Poynting vector, in W/m², for a wave with E = 24e^{j(wt+ ßz)} V/m in free space is [Question ID = 25527]
1. 4.8k/p [Option ID = 42105]
2. 2.4k/p [Option ID = 42103]
3. -4.8k/p [Option ID = 42106]
4. -2.4k/p [Option ID = 42104]
Correct Answer :-

2.4k/p [Option ID = 42103]
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Work done when a force F = (i+2j+3k) N acting on a particle takes it from the point r₁ = (i+j+k)m to the point r₂ = (i-j+2k)m is [Question ID = 25524]
1. 3J [Option ID = 42093]
2. -3J [Option ID = 42094]
3. -1/3J [Option ID = 42091]
4. -3/2J [Option ID = 42092]
Correct Answer :-

-3J [Option ID = 42091]
Leto(t) denote the delta function. The value of the integral ? d(t) cos(3t/2) dt is [Question ID = 25551]
1. 1 [Option ID = 42199]
2. p/2 [Option ID = 42202]
3. -1 [Option ID = 42200]
4. 0 [Option ID = 42201]
Correct Answer :-

1 [Option ID = 42199]

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A DSB-SC signal is to be generated with a carrier frequency f_oc = 1MHz using a nonlinear device with input-output characteristic Vo = a₀v_i + a₁v_i³, where a₀ and a₁ are constants. The output of the non- linear device can be filtered by an appropriate band-pass filter. Let V_i = A*cos(2pf_it) + m(t) where m(t) is the message signal. Then the value of f¹ (inMHz) is [Question ID = 25553]
1. 0.5 [Option ID = 42210]
2. 0.333 [Option ID = 42208]
3. 1 [Option ID = 42207]
4. 3 [Option ID = 42209]
Correct Answer :-
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1 [Option ID = 42207]
Given an orthogonal matrix A = [1 1 1 1] [1 1 -1 -1] [1 -1 -1 1] Then [AAT]-1 [1 -1 1 -1] [Question ID = 25558]
1. [1 0 0 1] [0 1 1 1] [1 1 0 0] [0 0 1 1] [Option ID = 42228]
2. [0 0 0 0] [0 1 0 0] [1 0 1 1] [Option ID = 42230]
3. [1 0 0 0] [0 1 0 0] [0 0 1 0] [Option ID = 42229]
4. [1 0 0 0] [0 1 0 0] [0 0 1 0] [Option ID = 42227]
Correct Answer :-
[1 0 0 0] [0 1 0 0] [0 0 1 0] [Option ID = 42227]
The first order perturbed Hamiltonian, when an external uniform electric field E is applied to the Z-axis on an atom is [Question ID = 25534]
1. H' = -eEZ [Option ID = 42132]
2. H' = eE/Z [Option ID = 42133]
3. H' = eEZ [Option ID = 42131]
4. H' = eZ/E [Option ID = 42134]
Correct Answer :-

H' = eEZ [Option ID = 42131]
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If the characteristic equation of the differential equation d²y/dx²+2ax+y=0 has two equal roots, then the values of a are [Question ID = 25562]
1. 0,0 [Option ID = 42244]
2. ±j [Option ID = 42245]
3. ±1/2 [Option ID = 42246]
4. ±1 [Option ID = 42243]
Correct Answer :-

±1 [Option ID = 42243]
The families of curves represented by the equation dy/dx = (x+y)/(x-y) For n = -1 and n = +1, respectively are [Question ID = 25563]
1. Circles and Hyperbolas [Option ID = 42250]
2. Hyperbolas and Circles [Option ID = 42248]
3. Hyperbolas and Parabolas [Option ID = 42247]
4. Parabolas and Circles [Option ID = 42249]
Correct Answer :-

Hyperbolas and Parabolas [Option ID = 42247]

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The Hamiltonian corresponding to the Lagrangian L = ax² + by² - kxy is [Question ID = 25526]
1. (Px²/4a) + (Py²/4b) ++ kxy [Option ID = 42101]
2. (Px²/2ab) + (Py²/4b) ++ kxy [Option ID = 42102]
3. (Px²/4a) - kxy [Option ID = 42100]
4. (Px²/2a) + (Py²/2b) + kxy [Option ID = 42099]
Correct Answer :-
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(Px²/2a) + (Py²/2b) + kxy [Option ID = 42099]
The nuclear spins of 6C¹⁴ and 12Mg²⁵ nuclei are respectively [Question ID = 25538]
1. zero and half integer [Option ID = 42147]
2. half integer and zero [Option ID = 42148]
3. Both half integer [Option ID = 42150]
4. an integer and half integer [Option ID = 42149]
Correct Answer :-

zero and half integer [Option ID = 42147]
If x = v-1, then the value of x^x is [Question ID = 25564]
1. e^p/2 [Option ID = 42252]
2. e^-p/2 [Option ID = 42251]
3. p^x [Option ID = 42253]
4. 1/x [Option ID = 42254]
Correct Answer :-

e^-p/2 [Option ID = 42251]
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For real values of x, the minimum value of the function f(x) = exp(x) + exp (-x) is [Question ID = 25560]
1. 2 [Option ID = 42237]
2. 0 [Option ID = 42236]
3. 1 [Option ID = 42235]
4. 3 [Option ID = 42238]
Correct Answer :-

1 [Option ID = 42235]
Forl = 1, correct representation of L_x is [Question ID = 25532]
1. h/v2 [0 1 0] [1 0 1] [0 1 0] [Option ID = 42123]
2. h/v2 [1 0 1] [0 1 0] [1 0 1] [Option ID = 42126]
3. h/v2 [1 0 1] [0 1 0] [1 0 1] [Option ID = 42125]
4. h/v2 [0 1 0] [1 0 1] [0 1 0] [Option ID = 42124]
Correct Answer :-
h/v2 [0 1 0] [1 0 1] [0 1 0] [Option ID = 42123]

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An imperturbed two level system has energy levels E₁ and E₂ and eigen vectors [1] and [0]. When perturbed its Hamiltonian is represented by [E₁ a] [a E₂] The first order correction to E₁is [Question ID =25533]
1. zero [Option ID = 42127]
2. 4a [Option ID = 42130]
3. a [Option ID = 42129]
4. 2a [Option ID = 42128]
Correct Answer :-
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zero [Option ID = 42127]
Let A = [2 a] [1 -0.1] and A^-1 = [b 0.5]. Then (a + b) equals [Question ID = 25557]
1. 7/20 [Option ID = 42223]
2. 3/20 [Option ID = 42224]
3. 19/60 [Option ID = 42225]
4. 11/20 [Option ID = 42226]
Correct Answer :-

7/20 [Option ID = 42223]
A solid uniform drum of mass m radius R rolls without slipping down a plane inclined at an angle 8. Find its acceleration? [Question ID = 25523]
1. (3gsin ?)/2 [Option ID = 42088]
2. -(2gsin ?)/3 [Option ID = 42089]
3. -(3gsin ?)/2 [Option ID = 42090]
4. (2gsin ?)/3 [Option ID = 42087]
Correct Answer :-

(2gsin ?)/3 [Option ID = 42087]
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Which of the following functions is analytic everywhere in the complex plane? [Question ID = 25567]
1. cos(z) [Option ID = 42259]
2. ln (z) [Option ID = 42261]
3. 1/(1-z) [Option ID = 42262]
4. e^1/z [Option ID = 42260]
Correct Answer :-

cos(z) [Option ID = 42259]
The probability that an electron in a metal occupies the fermi level, at any temperature (T>0) [Question ID = 25539]
1. 1 [Option ID = 42152]
2. 2.0 [Option ID = 42154]
3. 0 [Option ID = 42151]
4. 0.5 [Option ID = 42153]
Correct Answer :-

0 [Option ID = 42151]

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The Laplace transform of a unit ramp function starting at t=a, is [Question ID = 25569]
1. e^-as/(s+a)² [Option ID = 42272]
2. e^-as/s⁴ [Option ID = 42274]
3. e^-as/s³ [Option ID = 42273]
4. e^-as/s² [Option ID = 42271]
Correct Answer :-
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e^-as/s² [Option ID = 42271]
An equivalent 2's complement representation of 2's complement number 1101 is [Question ID = 25544]
1. 110111 [Option ID = 42173]
2. 001101 [Option ID = 42172]
3. 110100 [Option ID = 42171]
4. 111101 [Option ID = 42174]
Correct Answer :-

110100 [Option ID = 42171]
An FM signal with modulation index 9 is applied to a frequency tripler. The modulation index in the output signal will be [Question ID = 25552]
1. 0 [Option ID = 42203]
2. 9 [Option ID = 42206]
3. 27 [Option ID = 42204]
4. -3 [Option ID = 42205]
Correct Answer :-

0 [Option ID = 42203]
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The bit rate of digital communication system is R kbits/s. The modulation used is 32-QAM. The minimum bandwidth required for ISI free transmission is [Question ID

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This post was last modified on 19 June 2020