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Download DUET Master 2018 DU MSc Physics Question Paper With Answer Key

Download DUET (Delhi University Entrance Test conducted by the NTA) 2018 DU MSc Physics Question Paper With Solution Key

This post was last modified on 29 January 2020

Tags: DUET Delhi University Entrance Test NTA Master MSc Physics Question Paper Answer Key 2018 PDF Download

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DU MSc Physics

Topic:- DU_J18_MSC_PHY_Topic01

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A particle is confined in a one dimensional potential box with impenetrable walls at x = ±a. Its energy eigenvalue is 2 eV and corresponds to the eigenfunction of the first excited state. The lowest possible energy of the particle is
[Question ID = 5127]
1. 2.0 eV
  [Option ID = 20507]
2. 0.5 eV
  [Option ID = 20505]
3. 4.0 eV
  [Option ID = 20506]
4. 1.0 eV
  [Option ID = 20508]
Correct Answer :-
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0.5 eV

[Option ID = 20505]
The net magnetic moment of Iron atom in BCC crystal (a = 2.857 A°) is 2.2 µB (µB = 9.273 × 10-24 Am²). The saturation magnetization of Fe at 0 K is
[Question ID = 5148]
1. 1750 Am^-1
  [Option ID = 20589]
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2. 1750 Am^-2
  [Option ID = 20592]
3. 0
  [Option ID = 20590]
4. 1749.6 kAm^-1
  [Option ID = 20591]
Correct Answer :-

1749.6 kAm^-1

[Option ID = 20591]
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Three dice are thrown simultaneously. The probability that the same number will appear on all the three dice is
[Question ID = 5159]
1. 1/36
  [Option ID = 20635]
2. 1/6
  [Option ID = 20633]
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3. 1/18
  [Option ID = 20634]
4. 1/108
  [Option ID = 20636]
Correct Answer :-

1/36

[Option ID = 20635]

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Let us model a star as a spherical black body at temperature T which radiates to distant points which are at absolute zero. Let us further model a dust cloud around the star as a black spherical shell whose temperature Ts is determined by radiative equilibrium. What is Ts?
[Question ID = 5168]
1. 2^-1/2 T
  [Option ID = 20670]
2. 2^-1/4 T
  [Option ID = 20669]
3. T
  [Option ID = 20672]
4. T/2
  [Option ID = 20671]
Correct Answer :-
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2^-1/4 T

[Option ID = 20669]
Consider a Carnot reversible heat engine working between the temperatures of melting ice and steam. The efficiency of this heat engine will be approximately equal to
[Question ID = 5160]
1. 37%
  [Option ID = 20638]
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2. 27%.
  [Option ID = 20637]
3. 100%
  [Option ID = 20639]
4. None of the above.
  [Option ID = 20640]
Correct Answer :-

27%.

[Option ID = 20637]
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Which one of the following is not a characteristic of CMOS configuration?
[Question ID = 5136]
1. CMOS devices have higher noise-margins.
  [Option ID = 20543]
2. CMOS devices have low input impedances.
  [Option ID = 20542]
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3. CMOS devices have much lower transconductance than bipolar devices.
  [Option ID = 20544]
4. CMOS devices dissipate lower static power than bipolar devices.
  [Option ID = 20541]
Correct Answer :-

CMOS devices have low input impedances.

[Option ID = 20542]
The value of the integral
∫₀^2π dθ / (5-3 sin θ) is
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[Question ID = 5154]
1. 2π/3
  [Option ID = 20615]
2. π/2
  [Option ID = 20613]
3. π/4
  [Option ID = 20614]
4. 3π/4
  [Option ID = 20616]
Correct Answer :-
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π/2

[Option ID = 20613]
Given z = x + iy, the contour integration of dz/z is equal to (where C is any anti-clockwise contour going around the origin)
[Question ID = 5156]
1. -πi
  [Option ID = 20624]
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2. 2πi
  [Option ID = 20621]
3. πi
  [Option ID = 20623]
4. 0
  [Option ID = 20622]
Correct Answer :-

2πi

[Option ID = 20621]
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Solution of the differential equation d²y/dx² - 6 dy/dx + 9y = 8e^x is
[Question ID = 5155]
1. Axe^3x + Be^x
  [Option ID = 20620]
2. (Ax+B)e^3x + 2e^x
  [Option ID = 20617]
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3. (Ax² + Bx)e^4x + 2e^2x
  [Option ID = 20619]
4. (Ax+B)e^3x +8e^x
  [Option ID = 20618]
Correct Answer :-

(Ax+B)e^3x + 2e^x

[Option ID = 20617]
Train A and train B are running on adjacent rail tracks in the same direction with speeds 43 m/s and 10 m/s, respectively, with train B ahead of train A. When train A is 1000 m behind train B, train A sounds a whistle with frequency 270 Hz in its rest frame. Assuming still air and a speed of sound of 330 m/s, the frequency of the sound as measured by a passenger at rest in train B is equal to
[Question ID = 5146]
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1. 301 Hz
  [Option ID = 20581]
2. 280 Hz
  [Option ID = 20583]
3. 310 Hz
  [Option ID = 20582]
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4. 290 Hz
  [Option ID = 20584]
Correct Answer :-

301 Hz
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[Option ID = 20581]
An Earth-like exoplanet orbits around a star having a mass 1/27 times the mass of Sun. This exoplanet completes one revolution around the star in 365 days just like Earth. Assuming that orbits of both Earth as well as this exoplanet are circular, the distance of the exoplanet from its star is,
[Question ID = 5142]
1. one-ninth of the Earth-Sun distance.
  [Option ID = 20568]
2. 3 times the Earth-Sun distance.
  [Option ID = 20566]
3. same as the Earth-Sun distance
  [Option ID = 20567]
4. One-third of the Earth-Sun distance.
  [Option ID = 20565]
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Correct Answer :-

One-third of the Earth-Sun distance.

[Option ID = 20565]

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Consider eight electrons in a one dimensional box of length 'a' extending from x = 0 to x = a. What is the minimum allowed total energy using Pauli's exclusion principle for the system (m = mass of electron)
[Question ID = 5128]
1. 8h²/ma²
  [Option ID = 20511]
2. 15h²/2ma²
  [Option ID = 20512]
3. 15h²/4ma²
  [Option ID = 20509]
4. 10h²/ma²
  [Option ID = 20510]
Correct Answer :-
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15h²/4ma²

[Option ID = 20509]
For an electromagnetic wave traveling in free space, given by E = Em sin(ωt - βz) ŷ, the magnetic field B will be given by
[Question ID = 5170]
1. B = (Emβ/ω) sin(ωt - βz) x̂
  [Option ID = 20677]
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2. B = (Emβ/ω) cos(ωt - βz) ẑ
  [Option ID = 20678]
3. B = (Emβ/ω) sin(ωt – βz) ŷ
  [Option ID = 20679]
4. None of the above
  [Option ID = 20680]
Correct Answer :-

B = (Emβ/ω) sin(ωt - βz) x̂

[Option ID = 20677]
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The magnetic field required to bend a non-relativistic charged particle moving with velocity v into an arc of radius of curvature R is
[Question ID = 5176]
1. inversely proportional to v² and directly proportional to R²
  [Option ID = 20704]
2. inversely proportional to v and directly proportional to R
  [Option ID = 20702]
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3. directly proportional to v and inversely proportional to R
  [Option ID = 20701]
4. directly proportional to v² and inversely proportional to R²
  [Option ID = 20703]
Correct Answer :-

directly proportional to v and inversely proportional to R

[Option ID = 20701]
An atom is placed in a magnetic field of sufficient strength for splitting the 3p level. The number of levels resulting due to splitting will be
[Question ID = 5151]
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1. 1
  [Option ID = 20603]
2. 4
  [Option ID = 20604]
3. 3
  [Option ID = 20601]
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4. 2
  [Option ID = 20602]
Correct Answer :-

3
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[Option ID = 20601]
In 3- dimensional space, a particle of mass m moves in a potential B sin 2αr where r is the distance of the particle from the origin, B and α are real constants. Which of the following statement is correct?
[Question ID = 5138]
1. The motion is periodic in r with an oscillation length scale 2π/α.
  [Option ID = 20550]
2. The trajectory of the particle is always confined to a plane passing through the origin.
  [Option ID = 20552]
3. The motion is periodic in r with an oscillation length scale π/α.
  [Option ID = 20549]
4. Symmetry implies that a radial momentum p, is conserved because of the periodic nature of the potential.
  [Option ID = 20551]
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Correct Answer :-

The trajectory of the particle is always confined to a plane passing through the origin.

[Option ID = 20552]

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Fourier transform of any function f(x) is defined to be
F(k) = 1/√2π ∫^∞_-∞ f(x) exp(-ikx) dx.
Then, given a function g(x) = 1 for |x| < 1 and zero otherwise, its Fourier transform G(k) is
[Question ID = 5157]
1. √(2/π) sin(k)/k
  [Option ID = 20625]
2. √(1/π) exp(k)/k
  [Option ID = 20626]
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3. √(2/π) cos(k)/k
  [Option ID = 20627]
4. √(1/π) exp(-k)/k
  [Option ID = 20628]
Correct Answer :-

√(2/π) sin(k)/k

[Option ID = 20625]
The fine structure splitting of the 2p state of carbon and oxygen atoms in the L-S coupling scheme will have the energy respectively as
[Question ID = 5163]
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1. ³P₂ > ³P₁ > ³P₀ and ³P₂ > ³P₁ > ³P₀
  [Option ID = 20651]
2. ³P₂ < ³P₁ < ³P₀ and ³P₂ < ³P₁ < ³P₀
  [Option ID = 20652]
3. ³P₂ > ³P₁ > ³P₀ and ³P₂ < ³P₁ < ³P₀
  [Option ID = 20650]
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4. ³P₂ < ³P₁ < ³P₀ and ³P₂ > ³P₁ > ³P₀
  [Option ID = 20649]
Correct Answer :-

³P₂ > ³P₁ > ³P₀ and ³P₂ < ³P₁ < ³P₀
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[Option ID = 20650]
The Boolean expression (A+B) (A+B) (A+B) is equivalent to
[Question ID = 5133]
1. AB
  [Option ID = 20532]
2. A̅B
  [Option ID = 20531]
3. AB̅
  [Option ID = 20530]
4. A̅B̅
  [Option ID = 20529]
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Correct Answer :-

A̅B̅

[Option ID = 20529]

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Consider a rotating spherical planet such that the effective gravitational attraction at the equator is only 75% of that at the pole. If the linear velocity of a point on the equator is vo, what is the escape velocity for a polar particle?
[Question ID = 5139]
1. vo√8
  [Option ID = 20553]
2. vo√2
  [Option ID = 20555]
3. 2vo
  [Option ID = 20554]
4. 4vo
  [Option ID = 20556]
Correct Answer :-
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vo√8

[Option ID = 20553]
If f(x) is a non-negative continuous function for all x, such that f(x)+ f(x+1/2) = 1, 0 ≤ x ≤ 1/2, then ∫₀¹ f(x)dx is equal to
[Question ID = 5164]
1. 1
  [Option ID = 20655]
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2. 1/4
  [Option ID = 20654]
3. 1/2
  [Option ID = 20653]
4. 2
  [Option ID = 20656]
Correct Answer :-

1/2

[Option ID = 20653]
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A charged particle of charge q and mass m enters with initial velocity u along the x direction into a region defined by 0 ≤ x ≤ L in which a uniform electric field E is applied along the y direction. The charged particle gets deflected by distance D along the y direction when it emerges out of the region. Which of the following statements is false:
[Question ID = 5175]
1. D is directly proportional to u
  [Option ID = 20699]
2. D is directly proportional to q/m.
  [Option ID = 20697]
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3. D is directly proportional to L²
  [Option ID = 20700]
4. D is directly proportional to E
  [Option ID = 20698]
Correct Answer :-

D is directly proportional to u

[Option ID = 20699]
Which of the following current densities can generate the magnetic vector potential A = y²x̂+x²ŷ?
[Question ID = 5171]
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1. -(2/µ₀) (x̂+ŷ)
  [Option ID = 20681]
2. -(2/µ₀) (x̂-ŷ)
  [Option ID = 20683]
3. (2/µ₀) (x̂x̂+yŷ)
  [Option ID = 20682]
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4. (2/µ₀) (x̂x̂-yŷ)
  [Option ID = 20684]
Correct Answer :-

-(2/µ₀) (x̂+ŷ)
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[Option ID = 20681]
Let z = x+iy where x and y are real and i = √-1. The points (x,y) in the plane for which (z+i)/(z-i) is purely imaginary lie on
[Question ID = 5152]
1. a hyperbola.
  [Option ID = 20608]
2. an ellipse
  [Option ID = 20607]
3. a circle
  [Option ID = 20605]
4. a straight line
  [Option ID = 20606]
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Correct Answer :-

a circle

[Option ID = 20605]

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Thermal runaway in a transistor biased in the active region is due to
1. change in reverse collector saturation current due to rise in temperature
  [Option ID = 20540]
2. breakdown under reverse biasing
  [Option ID = 20537]
3. changes in β which increases with temperature
  [Option ID = 20538]
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4. base-emitter voltage VBE which decreases with rise in temperature
  [Option ID = 20539]
Correct Answer :-

change in reverse collector saturation current due to rise in temperature
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[Option ID = 20540]
Life-time of an excited state of an atom that always jumps to the ground state by emitting a photon spontaneously is 10^-9 second. The frequency of the emitted photon is uncertain at least by an amount
[Question ID = 5130]
1. 10⁴ Hz.
  [Option ID = 20520]
2. 10⁸ Hz.
  [Option ID = 20517]
3. 10⁵ Hz.
  [Option ID = 20519]
4. 10⁶ Hz.
  [Option ID = 20518]
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Correct Answer :-

10⁸ Hz.

[Option ID = 20517]

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In a hydrogen-like atom, an electron is bound to a heavy nucleus containing Z number of protons. In the framework of Bohr's atomic model, mv_nr_n = nh, n = 1,2,3 ..., where m, v_n and r_n are the electron's mass, speed and radius, respectively, corresponding to the n-th orbit. If a₀ = h²/me² then,
[Question ID = 5131]
1. v_n = Ze²/nh and r_n = (n²/Z) a₀
  [Option ID = 20521]
2. v_n = Ze²/nh and r_n = na₀
  [Option ID = 20523]
3. v_n = Zne²/h and r_n = (n/Z) a₀
  [Option ID = 20524]
4. v_n = e²/nh and r_n = (n/Z) a₀
  [Option ID = 20522]
Correct Answer :-
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v_n = Ze²/nh and r_n = (n²/Z) a₀

[Option ID = 20521]
Four moles of an ideal gas undergo a reversible isothermal compression at 20 °C when 1850 J of work is done on the gas. The change in entropy of the gas in this process is
[Question ID = 5165]
1. - 1.6 J/K
  [Option ID = 20659]
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2. + 1.6 J/K
  [Option ID = 20660]
3. +6.3 J/K
  [Option ID = 20658]
4. - 6.3 J/K
  [Option ID = 20657]
Correct Answer :-

- 6.3 J/K

[Option ID = 20657]
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The degeneracy of the lowest Landau level
[Question ID = 5150]
1. Is constant with the magnetic field.
  [Option ID = 20599]
2. Varies as function of temperature.
  [Option ID = 20600]
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3. Varies linearly with the magnetic field.
  [Option ID = 20597]
4. Varies exponentially with the magnetic field.
  [Option ID = 20598]
Correct Answer :-

Varies linearly with the magnetic field.

[Option ID = 20597]
The fraction of electrons excited across the energy gap of Silicon (E_g = 1.1 eV) at room temperature (300 K) is
[Question ID = 5147]
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1. 4×10^-12
  [Option ID = 20587]
2. 7×10^-18
  [Option ID = 20585]
3. 1.7×10^-12
  [Option ID = 20586]
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4. 5.712×10^-10
  [Option ID = 20588]
Correct Answer :-

5.712×10^-10
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[Option ID = 20588]
A large and spherical soap film of thickness d has a refractive
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

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This post was last modified on 29 January 2020