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Delhi University Entrance Test (DUET) 2020 Previous Year Question Paper With Answer Key

This post was last modified on 27 December 2020

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This download link is referred from the post: DUET Last 10 Years 2011-2021 Question Papers With Answer Key || Delhi University Entrance Test conducted by the NTA

Topic:- INFO MSC S2_P1

Each of the following idioms has four responses (choices). Choose the correct meaning of the idioms
Mad as a March hare:
1. insane
2. intoxicated
3. as mad as I could be
4. slightly touched in the brain
Correct Answer :-
- as mad as I could be

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Each of the following idioms has four responses (choices). Choose the correct meaning of the idioms
To mince one's words:
1. to take back one's word
2. to repeat one's word
3. to speak candidly
4. to speak hesitatingly
Correct Answer :-
- to speak hesitatingly
Each of the following idioms has four responses (choices). Choose the correct meaning of the idioms
To have an edge on:
1. to cut with a knife
2. to threaten to wound
3. to be slightly better
4. to be in a dangerous situation
Correct Answer :-
- to be slightly better
Out of the four alternatives given below, choose the one which is opposite in meaning to the each of the word.
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LUSCIOUS
1. Dry
2. Ugly
3. Stale
Correct Answer :-
- Ugly

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Out of the four alternatives given below, choose the one which is opposite in meaning to the each of the word.
ABHOR
1. detest
2. Condemn
3. Love
4. Entertain
Correct Answer :-
- Love
Out of the four alternatives given below, choose the one which is opposite in meaning to the each of the word.
PARSIMONIOUS
1. Generous
2. Frugal
3. Crude
4. Stingy
Correct Answer :-
- Generous
Each of the following items in this section consists of a sentence, the parts of which have been jumbled. These parts have been labelled P, Q, R and S. Given below each sentence are four sequences namely (1), (2), (3) and (4). You are required to rearrange the jumbled parts of the sentence and select the correct sequence.
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Most of Hitchcock's films
were critically acclaimed on both sides of the Atlantic (P)
earning him both fame and fortune (Q)
and made good money at the box office, (R)
in no small measure (S).
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The correct sequence should be
1. PRQS
2. PRSQ
3. QSPR
4. QPSR
Correct Answer :-
- PRQS
Each of the following items in this section consists of a sentence, the parts of which have been jumbled. These parts have been labelled P, Q, R and S. Given below each sentence are four sequences namely (1), (2), (3) and (4). You are required to rearrange the jumbled parts of the sentence and select the correct sequence.
One monsoon evening,
the farmer returned from the fields (P)
when the sky was overcast with threatening clouds (Q)
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and found a group of children playing on the road (R)
a little earlier than usual (S).
The correct sequence should be
1. QSPR
2. QPSR
3. QRSP
4. PQRS
Correct Answer :-
- QPSR
Each of the following items in this section consists of a sentence, the parts of which have been jumbled. These parts have been labelled P, Q, R and S. Given below each sentence are four sequences namely (1), (2), (3) and (4). You are required to rearrange the jumbled parts of the sentence and select the correct sequence.
It was reported that
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The table (P)
belonging to a lady (Q)
with three carved legs (R)
was sold the next day by auction (S),
The correct sequence should be
1. PRQS
2. QPRS
3. PQSR
4. PQRS
Correct Answer :-
- PQSR

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A particle of mass m moves under the action of force field defined by F = -kr/r⁴. If E is the total energy supplied to the particle then its speed is given by
The equation of motion for a small particle of mass m is given by mx + yx-mg = 0. Assuming initial speed to be vo the terminal speed of particle will be
1. mg/y
2. √vo+2gx
3. vo + gt
4. mg/y²t
Correct Answer :-
- mg/y
A plane wave having the electric field component E_i = 24cos(3 x 10⁸t - βy)â_z V/m and travelling in free space is incident normally on a lossless medium with μ = μ₀ and ε = 9ε₀ which occupies the region y ≥ 0. Find the reflected magnetic field component.
1. H_r = ¹/_10π cos(3 x 10⁸t + βy)â_x
2. H_r = ¹/_5π cos(3 x 10⁸t - βy)â_x
3. H_r = ¹/_10π cos(3 x 10⁸t + βy)â_x
4. H_r = ¹/_5π cos(3 x 10⁸t - βy)â_y
Correct Answer :-
- H_r = ¹/_10π cos(3 x 10⁸t + βy)â_x
A particle of mass m and charge q moves with a constant velocity v along the positive x-direction. It enters a region containing a uniform magnetic field B directed along the negative z-direction, extending from x = a to x = b. The minimum value of v required so that the particle can just enter the region x > b is
The wave function in the ground state of hydrogen atom is given as ψ = Ae^-r/a
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where r measures distance from nucleus and a is a constant.
The value of A is
1. ¹/_√πa
2. ¹/_√πa³
3. √πa
4. ¹/_√πa⁵
Correct Answer :-
- ¹/_√πa³
A particle of mass m is represented by the wave function φ(x) = Ae^ikx, where k is the wave vector and A is constant.
The magnitude of the probability current density of the particle is
1. |A|² ^ħk/_m
2. |A|² ^ħk/_2m
3. |A|² ^ħk/_3m
4. |A|² ^k²ħ/_m
Correct Answer :-
- |A|² ^ħk/_m
Calculate the change in internal energy of 1 kg of water when it is heated from 0°C to 100°C. Assuming that there is no interatomic energy in the perature of 300K.

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Two ends of a rod are kept at 120°C and 227°C. When 2000cal of heat flows in this rod, then the change in entropy is
1. 1.0cal/K
2. 0.7cal/K
3. 20.0cal/K
4. 6.9cal/K
Correct Answer :-
- 20.0cal/K
The volume in cylindrical coordinate between r 2 m and 4 m contains a uniform charge density ρ (C/m³). The electric flux density D for r > 4m
1. (^6ρ/_r)â_r
2. (^3ρ/_r)â_r
3. (^ρ/_3r)â_r
4. (^ρ/_6r)â_r
Correct Answer :-
- (^6ρ/_r)â_r
The angle of resultant polarization of an electromagnetic wave whose electric field is given below
E_x=4E₀ cos(3x + 4y - 500t)
E_x = 3E₀ cos(3x + 4y – 500t + π)
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E_z = 0
1. φ = tan^-1(⁴/₃)
2. φ = tan^-1(³/₄)
3. φ = tan^-1(⁴/₃)
4. φ = tan^-1(³/₄)
Correct Answer :-
- φ = tan^-1(⁴/₃)
A material at 300°K has two energy levels having wavelength separation of 1µm. The ratio of upper to lower level occupation densities when the material is in thermal equilibrium is
1. 10^-12
2. 10^-11
3. 10^-21
4. 10^-22
Correct Answer :-
- 10^-21
For radioactive nucleus, the mean life is T. If the number of decays per unit time is n at t = 0, the number of decays between time 0 and t is
1. nTe^-t/T
2. n(1-e^-t/T)
3. nT(1-e^-t/T)
4. ne^-t/T
Correct Answer :-
- n(1-e^-t/T)
Solve the differential equation
^dy/_dx+^y/_xlogy = xy e^x
1. xlog y = x e^x + e^x + const.
2. xlog y = x e^x - e^x + const.
Correct Answer :-
- xlog y = x e^x - e^x + const.
Solve
(D² + 6D + 9)y = e^-3x/x³
1. y = (C₁+C₂x)e^-3x + e^-3x/x³
2. y = (C₁ + C₂x) e^3x + e^-3x/x³
3. y = (C₁+C₂x)e^3x + e^3x/x³
4. y = (C₁+C₂x)e^-3x + e^-3x/x⁴
Correct Answer :-
- y = (C₁+C₂x)e^-3x + e^-3x/x³

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If A =

3 -3 4

2 -3 4

0 -1 1

, then find A^-1
1. A^-1 =
  
  1 -1 0
  
  -2 3 -4
  
  -2 3 -3
2. A^-1 =
  
  1 -1 0
  
  -2 3 4
  
  -2 3 -3
3. A^-1 =
  
  1 -1 0
  
  -2 -3 -4
  
  -2 3 -3
4. A^-1 =
  
  1 -1 0
  
  -2 3 -4
  
  2 3 -3
Correct Answer :-
- A^-1 =
  
  1 -1 0
  
  -2 3 -4
  
  -2 3 -3
Find the rank of the matrix
A =

1 2 -1 3

1 2 4 1

2 4 3 1

3 6 -1 2

1 2 0 1
1. 4
2. 1
3. 3
4. 2
Correct Answer :-
- 3
Write down the matrix of the quadratic form
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x₁² + 2x₂² - 7x₃² + x₄² - 4x₁x₂ + 8x₁x₃ - 6x₃x₄
1. 1 -2 4 0
  
  -2 2 0 0
  
  4 0 -7 -3
  
  0 0 -3 -1
2. 1 -2 4 0
  
  -2 2 0 0
  
  4 0 -7 -3
  
  0 0 -3 1
3. 1 -2 4 0
  
  -2 2 0 0
  
  4 0 -7 -3
  
  0 1 -3 1
4. 1 -2 4 0
  
  -2 2 0 0
  
  4 0 -7 -3
  
  0 0 3 1
Correct Answer :-
- 1 -2 4 0
  
  -2 2 0 0
  
  4 0 -7 -3
  
  0 0 -3 1
Let A =

4 1 0

1 4 1

0 1 4

. Find matrix P such that P^-1AP is a diagonal matrix.
1. P =
  
  -1 1 1
  
  0 -√2 √2
  
  1 1 1
2. P =
  
  1 1 1
  
  0 -√2 √2
  
  1 1 1
3. P =
  
  -1 -1 1
  
  0 -√2 √2
  
  1 1 1
4. P =
  
  -1 1 1
  
  0 -√2 √2
  
  1 -1 1
Correct Answer :-
- P =
  
  -1 1 1
  
  0 -√2 √2
  
  1 1 1
Find the constants a, b and c so that
F = (x + 2y + az)î + (bx-3y-z) + (4x + cy+2z)k
A vector field is given by F = (sin y)î + x(1 + cos y)j. Evaluate the line integral over a circular path
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x² + y² = a², z = 0.
1. πa
2. 3πa²
3. 4πa²
4. πa²
Correct Answer :-
- πa²
Suppose that a book of 600 pages contains 40 printing mistakes. Assume that these errors are randomly distributed throughout the book and x, the number of errors per page has a Poisson distribution. What is the probability that 10 pages selected at random will be free of errors?
1. 0.11
2. 0.21
3. 0.51
4. 0.41
Correct Answer :-
- 0.51
Evaluate the integral
∫^2π₀ ^dθ/_{5-3 cos θ}
1. zero
2. π/2
3. π
4. 2π
Evaluate
∫^∞₀ te^-3t sint dt
1. 3/50
2. 1/50
3. 3π/50
4. π/50
Correct Answer :-
- 3/50

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Solve for f(x) from the integral equation ∫^∞₀ f(x) cos sx dx = e^-s
where the Fourier sine and cosine transform of a function f(x) may be defined as
F(s) = √(²/_π) ∫^∞₀ f(x) sin sx dx and F(s) = √(²/_π) ∫^∞₀ f(x) cos sx dx
respectively.
1. ²/_π ¹/_1+x²
2. ²/_3π ¹/_1+x²
3. ¹/_π ¹/_1-x²
4. ²/_3π ¹/_1-x²
Correct Answer :-
- ²/_π ¹/_1+x²
According to Einstein relation, for any semiconductor the ratio of diffusion constant to mobility of carriers
1. depends upon the temperature of the semiconductor.
2. depends upon the type of semiconductor
3. varies with life time of the semi conductor
4. is a universal constant
Correct Answer :-
- depends upon the temperature of the semiconductor.

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A common emitter transistor amplifier has an a.c. current gain of 20 and input resistance of 1kΩ. If the load(output) resistance is 5kΩ, find the change in output voltage if the input voltage changes by 1V.
1. 10V
2. 100V
3. 1V
4. 50VV
Correct Answer :-
- 100V
11001,1001 and 111001 correspond to the 2's complement representation of which one of the following sets of number?
1. 25, 9 and 57 respectively
2. -6, -6 and -6 respectively
3. -7, -7 and -7 respectively
4. -25, -9, and -57 respectively
Correct Answer :-
- -7, -7 and -7 respectively
If the function W, X, Y and z are as follows
W = R +PA+ RS
X = PQRS + PQRS + PQRS
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Y = RS + PR + PQ + PQ
Z = R + S + PQ + PQR + PQS
1. W = Z,X = Z
2. W = Z,X = Y
3. W = Y
4. W = Y Z
Correct Answer :-
- W = Z,X = Z
A 4-bit modulo-16 ripple counter uses JK flip-flops. If the propagation delay of each FF is 50ns, the maximum clock frequency that can be used is equal to
1. 20MHz
2. 10MHz
3. 5MHz
4. 4MHz
Correct Answer :-
- 5MHz
A 3-bit D/A converter with resistance values of 12V is to be used with an op-amp of infinite gain and feedback resistance 8k. The output voltage corresponding to the binary input 101 is
For the circuit shown in Fig.1, the initial conditions are zero. Its transfer function H(s) = ^Vo(s)/_{Vi (s)} is
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This download link is referred from the post: DUET Last 10 Years 2011-2021 Question Papers With Answer Key || Delhi University Entrance Test conducted by the NTA

This post was last modified on 27 December 2020

-1	1	1
0	-√2	√2
1	1	1

1	1	1
0	-√2	√2
1	1	1

-1	-1	1
0	-√2	√2
1	1	1

-1	1	1
0	-√2	√2
1	-1	1

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