Roll No:
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Exam Date: 06-Oct-2020
Exam Time: 09:00-12:00
Examination: 1. Course Code - M.A./M.Sc./M.C.A.
2. Field of Study - COMPUTATIONAL AND
INTEGRATIVE SCIENCES Track-1 (TROM)
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SECTION 1 - PART A
Question No.1 (Question Id - 1)
The ratio between the speeds of the two trains is 7: 8. If the second train runs 400 kms in 4 hours, then the speed of the first train is
(A) 70 km/hr
(B) 75 km/hr
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(C) 84 km/hr
(D) 87.5 km/hr (Correct Answer)
Question No.2 (Question Id - 8)
If x + y = 10 and x - y = 5, then x2 - y2 =
(A) 50 (Correct Answer)
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(B) 60
(C) 75
(D) 40
Question No.3 (Question Id - 2)
If two tailors X and Y are paid a total of 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
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(A) 200
(B) 250 (Correct Answer)
(C) 300
(D) 400
Question No.4 (Question Id - 9)
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212 +212 +212 + 212 =
(A) 412
(B) 214 (Correct Answer)
(C) 216
(D) 416
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Question No.5 (Question Id - 7)
If x = 2 and y = -3, then y2-[x-(y+1/2)]-2×3=
(A) -39/2
(B) -3/2 (Correct Answer)
(C) 0
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(D) 31
Question No.6 (Question Id - 4)
How many words with or without meaning, can be formed by using all the letters of the word, 'DELHI' using each letter exactly once ?
(B) 25
(C) 60
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(D) 120 (Correct Answer)
Question No.7 (Question Id - 5)
In the two-digit number x, both the sum and the difference of its digits is 4. What is the value of x ?
(A) 8
(B) 16
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(C) 40 (Correct Answer)
(D) 31
Question No.8 (Question Id - 10)
The average of four numbers is 20. If one of the number is removed, the average of the remaining number is 15. What number was removed?
(A) 10
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(B) 35 (Correct Answer)
(C) 30
(D) 12
Question No.9 (Question Id - 6)
A school has a total enrollment of 90 students. There are 30 students taking Physics, 25 taking English and 13 taking both. What percentage of the students are taking either Physics or English ?
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(A) 30%
(B) 36%
(C) 47% (Correct Answer)
(D) 51%
Question No.10 (Question Id - 3)
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In a Maths examination, the average for the entire class was 80 marks. If 10% of the students scored 95 marks and 20% scored 90 marks, what was the average marks of the remaining students of the class ?
(A) 65.5
(B) 72.5
(C) 75 (Correct Answer)
(D) 85
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SECTION 2 - Physics
Question No.1 (Question Id - 32)
Consider four heat reservoirs A, B, C and D. The efficiency of a reversible engine working between A and C is half of the sum of the efficiencies of the same engine, when it is operated between A and B, and between A and D. The temperature of reservoir C is :
(A) TC = 1/2 (TA+TD)
(B) TC = 1/2 (TB+TD) (Correct Answer)
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(C) TC = 1/2 (TA+TB)
(D) None of the above
Question No.2 (Question Id - 29)
An atom of mass 'm' can be excited to a state of mass 'm + ?' by photon capture. The frequency of a photon, which can cause this radiation is :
(?) ?c2/2h
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(D) (?+2m)c2/2mh (Correct Answer)
Question No.3 (Question Id - 31)
Assuming the Boltzmann Entropy relation to be true, which of the statements become implied ?
(A) If O = 1, then S = 0
(B) If O > 1, then S > 1
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(C) If S? 0, then T ? 0
(D) All of the above (Correct Answer)
Question No.4 (Question Id - 33)
The partition function of an ideal monatomic gas containing N non-interacting particles is
given by ZN = VN/h3N (2pmkBT)3N/2. Then F and p are :
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F = -NkBT lnZ; P = NkBT/Z (?Z/?V)T. Thus, p is equal to:
(A) 2/3 RT
(B) 3/2 R
(C) nRT/V (Correct Answer)
(D) RT/nV
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Question No.5 (Question Id - 11)
Eigenvalues of the following matrix:
0 0 2
0 2 0
2 0 3
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are :
(A) 2, -1, 4 (Correct Answer)
(B) 3, -1, 4
(C) 4, -1, 1
(D) 1, 2, 4
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Question No.6 (Question Id - 27)
de Broglie wavelength ? of a particle of mass m and velocity v is :
(A) ? = h/mv2
(B) ? = h/mv (Correct Answer)
(C) ? = h/mu
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(D) None of the above
Question No.7 (Question Id - 25)
Suppose a particle starts out in a linear combination of just two stationary states :
?(x, 0) = C1?1(X) + C2?2(X), where C1 and C2 are real constants and states ?1(X) and 42(X) are real.
Consider E1 and E2 are energies associated with ?1 and ?2, respectively. Probability density at subsequent times :
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(C) C12?12 + C22?22 + 2C1C2?1?2 cos[(E2-E1)t/h] (Correct Answer)
(D) (C1?1+C2?2)2
Question No.8 (Question Id - 34)
In terms of pressure and volume of Bose-Einstein gas takes the form :
(A) PV2 = Constant
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(B) PV3/2 = Constant (Correct Answer)
(C) PV = Constant
(D) PV5/3 = Constant
Question No.9 (Question Id - 15)
The differential equation dx/dy + xy = 4, is of:
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(A) First order, linear
(B) First order, non-linear (Correct Answer)
(C) Second order, linear
(D) Second order, non-linear
Question No.10 (Question Id - 26)
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A particle in the infinite square well has the initial wave function ?(x, 0) = A(x - 2), for some constant A.
What is the expectation value of momentum operator .?
(A) 0 (Correct Answer)
(B) 1
(C) -1
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(D) 0i
Question No.11 (Question Id - 21)
A planet of mass m and angular momentum L, moves in a circular orbit in a potential V(r) = -k/r where k is constant. If it is slightly perturbed radially, the angular frequency of radial oscillations is:
(A) mk2/L2
(B) mk2/L3 (Correct Answer)
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(C) mk2/L3
(D) 3 mk2/L3
Question No.12 (Question Id - 19)
A central force is given by f(t) = -K/r2 in the
r= P/1 + e cos? in polar coordinates (r, ?). If e > 1, the trajectory is:
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(A) Parabola
(B) Ellipse
(C) Hyperbola (Correct Answer)
(D) None of the above
Question No.13 (Question Id - 20)
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A cylinder axis vertical floats in a liquid of density ?. It is pushed down vertically slightly and released.
Time period of the oscillation if the cylinder has weight w and cross-section a,
(?) pv(w/a?g) (Correct Answer)
(?) 2v(w/a?)
(C) 2pv(w/g VP)
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(D) 2pv(w/gP)
Question No.14 (Question Id - 39)
The difference in the coulomb energy between the mirror nuclei 49Cr and 49Mn is 6 MeV. Assuming that the nuclei have a spherically symmetric charge distribution and that e2=1.0 MeV. fm, the radius of the 49Mn nucleus is:
(A) 4.9 x 10-13 m
(B) 4.9 x 10-15 m (Correct Answer)
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(C) 5.1 x 10-13 m
(D) 5.1 x 10-15 m
Question No.15 (Question Id - 37)
If the electrostatic potential in spherical polar coordinates is f(r) = fo e-r/ro, where fo and
ro are constants, then the charge density at a distance r=ro, is:
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(A) eofo/ero2 (Correct Answer)
Question No.16 (Question Id - 12)
The value of (i + 2j - k) x (3i+ j+5k) x (i + 6k)
(A) 18
(B) 5
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(C) 28 (Correct Answer)
(D) 0
Question No.17 (Question Id - 24)
An electron of energy 200 eV is passed through a circular hole of radius equal to 10-4 cm. The uncertainty introduced in the angle of emergence:
Mass of electron=9.1×10-34 kg
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Planck's constant=6.627×10-27 erg.sec.
(A) 6 x 10-6 radians (Correct Answer)
(B) 6 x 10-2 radians
(C) 6 x 10-4 radians
(D) 6 x 10-10 radians
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Question No.18 (Question Id - 13)
Two functions are shown graphically below :
Which of the following are true?
(A) f1(x) and f2(x) are symmetric
(B) f1(x) and f2(x) are anti-symmetric
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(C) f1(x) is anti-symmetric; f2(x) is symmetric
(D) f1(x) is symmetric; f2(x) is anti-symmetric (Correct Answer)
Question No.19 (Question Id - 38)
If the electrostatic potential V(r, ?, f) in a charge free region has the form V(r, ?, f) = f(r) cos?, then the functional form of f(r), with a and b as constants, is given by :
(A) ar2 + b/r
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(B) ar + b/r2 (Correct Answer)
(C) ar + b/f
(D) a ln(r-b/r)
Question No.20 (Question Id - 30)
The constant a = e2/4peohc = 1/137, is known as:
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(A) Rydberg constant
(B) Bohr magneton
(C) Fine structure constant (Correct Answer)
(D) Land'e g-factor
Question No.21 (Question Id - 18)
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A projectile is launched with initial speed vo at an angle a with the horizontal. The time taken to reach the maximum height reached :
(A) vo sina/g
(B) vo sin2a/2g
(C) vo sin2a/g
(D) vo sina/g (Correct Answer)
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Question No.22 (Question Id - 28)
In hydrogen atom, the allowed energies are En = E1/n2, n = 1, 2, 3, .... where E1 = -13.6 eV. The first excited state will have energy:
(A) -3.4 eV, four degenerate states (Correct Answer)
(B) -3.4 eV, two degenerate states
(C) -13.6 eV, two degenerate states
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(D) -13.6 eV, non-degenerate
Question No.23 (Question Id - 23)
A proton which is confined to a nucleus of radius equal to 10-13 cm has uncertainty in its momentum. Kinetic energy of that proton inside the nucleus :
Planck's constant=6.627×10-27 erg.sec.
Mass of proton=1.67×10-24 g
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(A) 1 MeV
(B) 20 MeV (Correct Answer)
(C) 1 eV
(D) 10 meV
Question No.24 (Question Id - 36)
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The root mean square speed for gas molecule is given by :
(A) v(3kB T/2m)
(B) v(3kB T/m) (Correct Answer)
(C) v(kB T/2m)
(D) None of the above
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Question No.25 (Question Id - 22)
In the free electron theory of metals, valence electrons can be approximately assumed to be free and confined inside a box. If g(E)dE represents the number of states whose energy lies between E and E + dE, then g(E) goes as :
(A) E
(B) vE (Correct Answer)
(C) E3/2
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(D) Independent of E
Question No.26 (Question Id - 16)
The angular speed of the earth about its axis is approximately :
(B) 7.25 x 10-5 rad/s (Correct Answer)
(C) 6.27 x 10-3 rad/s
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(D) 6.27 x 10-5 rad/s
Question No.27 (Question Id - 35)
Ratio of molar heat capacity at constant pressure to molar heat capacity at constant volume, is given by :
(Ideal gas monatomic)
(A) ? = 5/3 (Correct Answer)
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(B) ? = 3/5
(C) ? = 2/5
(D) ? = 5/2
Question No.28 (Question Id - 17)
A small mass m with radius R/2 is cut from a uniform circular disc of mass M and radius R, as shown in the figure below:
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Where will be its new center of mass ?
(A) R/2, left to 0
(B) R/4, left to 0
(C) R/6, left to 0 (Correct Answer)
(D) R/8, left to 0
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Question No.29 (Question Id - 40)
The intrinsic electric dipole moment of a nucleus AXZ,
(A) increases with Z, but independent of A
(B) decreases with Z, but independent of A
(C) is always zero (Correct Answer)
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(D) increases with Z and A
Question No.30 (Question Id - 14)
Imaginary roots of x3 = 5 would be [? is the imaginary cube root of unity] :
(?) 5?, 5?2
(?) ?, 5?2
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(C) 3v5?, 3v5?2 (Correct Answer)
(D) 25?, 25?2
SECTION 3 - Chemistry
Question No.1 (Question Id - 49)
Two litres of an ideal gas at a pressure of 10 atm expands isothermally into a vacuum until its total volume is 10 litres. How much heat is absorbed and how much work is done in the expansion ?
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(B) No work is done, no heat is absorbed (Correct Answer)
Question No.2 (Question Id - 43)
Which type of hybridisation in transition state of SeF4, when it undergoes in hydrolysis ?
(A) sp3d
(B) sp3d2 (Correct Answer)
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(C) dsp2
(D) sp3
Question No.3 (Question Id - 52)
What is the speed of light in atomic units given: e = 1.602 x 10-19 C, me = 9.109 x 10-31 kg, h = 1.05457 x 10-34 Js, 1/4 peo = 0.8987 x 10-10 JC-2m, c = 2.9979 x 108 ms-1?
(A) 274
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(B) 137 (Correct Answer)
(C) 3
(D) 3 x 108
Question No.4 (Question Id - 60)
O2 is paramagnetic because :
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(A) It has two unpaired electrons in its HOMO (Correct Answer)
(B) It has two unpaired electrons in its LUMO
(C) It has one spin unpaired electron
(D) It has no unpaired electrons
Question No.5 (Question Id - 56)
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Calculate the emf at 25°C of the cell found to be at equilibrium
Pt| Sn+2 (0.1M), Sn+4 (0.01M) || Fe+3 (0.5M) |Fe
(A) -0.157 V
(B) -1.157 V (Correct Answer)
(C) 1.157 V
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(D) 0.157 V
Question No.6 (Question Id - 61)
The half-life of radium 226Ra is 1600 years. How many disintegrations per second would be undergone by 1 g of radium?
(A) 3.66 x 1010 g -1s-1 (Correct Answer)
(B) 0.366 x 1010 g - 1s - 1
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(C) 36.6 x 1010 g - 1s - 1
(D) 366 x 1010 g - 1s - 1
Question No.7 (Question Id - 57)
What is the hybridisation of carbene : CCl2?
(A) sp
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(B) sp2
(C) sp3 (Correct Answer)
(D)
Question No.8 (Question Id - 46)
If any thermodynamic function follows (?Y/?x)fay=0 then :
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(A) Y is a state function (Correct Answer)
(B) Y is a path function
(C) Y is an extensive function
(D) Y is an intensive function
Question No.9 (Question Id - 44)
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Which one of the following is least basic in nature ?
(A) (Correct Answer)
Question No.10 (Question Id - 70)
For an isothermal expansion how does work done by a real gas compare to the same for ideal gas, at very low pressure :
(A) Less
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(B) More (Correct Answer)
(C) Same
(D) Unpredictable
Question No.11 (Question Id - 59)
Debye-Hückel limiting law for a specific ion having charge Zi in solution of ionic strength I, gives the relation :
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(A) In(?) = - AZi2 vI (Correct Answer)
(B) In(?) = - A ZI
(C) In(?) = - A Z2I
(D) In(?) = - AZiI
Question No.12 (Question Id - 50)
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The isothermal compressibility, K of a Vander Waals gas (P = RT/v-b - a/v2) is given by:
(A) K = (v-b)2/RTv3-2a(v-b)2 (Correct Answer)
Question No.13 (Question Id - 54)
2-Chlorocyclobutanone on treatment with sodium methoxide followed by hydrolysis gives :
(A) Cyclobutane
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(B) Butanoic acid
(C) Cyclopropane carboxylic acid (Correct Answer)
(D) Cyclobutanone
Question No.14 (Question Id - 45)
The EAN of platinum in potassium hexachloroplatinate (IV) :
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(A) 46
(B) 86 (Correct Answer)
(C) 36
(D) 84
Question No.15 (Question Id - 55)
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In a molecular orbital, probability of electron density is :
(A) Minimum on the nodal plane
(B) Maximum on the nodal plane
(C) Zero on the nodal plane (Correct Answer)
(D) Zero on the surface of the lobe
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Question No.16 (Question Id - 58)
Zn/Zn+2 (c = 0.1M)|| Fe+2 (c = 0.01M) |Fe. The emf of the cell is 0.2905 V. The equilibrium constant for this cell reaction is :
(A) 100.32/0.0591
(B) 100.32/0.0295 (Correct Answer)
(C) 100.26/0.0295
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(D) 0.32/0.295
Question No.17 (Question Id - 63)
For the stoichiometric equation A+ 2B? 2Z, the rate of formation of Z at various concentrations of A and B are as.
[A]/ mol dm-3 [B]/ mol dm-3 Rate / mol dm-3s-1
3.5 x 10-2 2.3 x 10-2 5 x 10-7
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7 x 10-2 4.6 x 10-2 2 x
This download link is referred from the post: JNU Last 10 Years 2011-2021 Previous Question Papers with Answers
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