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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

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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Topic:- PHY MSC S2

  1. An atomic transition line with wavelength 350 nm is observed to be split into three components in a spectrum of light from a sunspot. Adjacent components are separated by 1.7 pm. Determine the strength of the magnetic field in the sunspot

    --- Content provided by FirstRanker.com ---

    [Question ID = 6662]

    1. 3 T [Option ID = 26642]
    2. 0.03 T [Option ID = 26643]
    3. 3.3 T [Option ID = 26644]
    4. 0.3 T [Option ID = 26645]
    5. --- Content provided by FirstRanker.com ---

    Correct Answer :-

    • 0.3 T [Option ID = 26645]

  2. which one of the following is correct in respect of an electron and a proton having a same de-Broglie wavelength of 2 Å

    [Question ID = 6663]

    --- Content provided by FirstRanker.com ---

    1. Both have same kinetic energy [Option ID = 26646]
    2. Both have same velocity [Option ID = 26647]
    3. Both have same momentum [Option ID = 26648]
    4. The kinetic energy of proton is more than that of electron [Option ID = 26649]

    Correct Answer :-

    --- Content provided by FirstRanker.com ---

    • Both have same momentum [Option ID = 26648]

  3. If rp & rh are the radius and Ep & EH are the energy of an electron in the nth orbit of positronium atom and hydrogen atom respectively, then

    [Question ID = 6664]

    1. гр = 2 rң and Ep = Ен/2 [Option ID = 26650]
    2. --- Content provided by FirstRanker.com ---

    3. гр = 2 rң and Ep = 2 Ен [Option ID = 26651]
    4. гр = 2 rң and Ep = Ен/4 [Option ID = 26652]
    5. Гр = r and Ep = 2 Ен [Option ID = 26653]

    Correct Answer :-

    • Гp = 2 r and Epр = Ен/2 [Option ID = 26650]

    --- Content provided by FirstRanker.com ---

  4. An X-ray beam of wavelength 0.16 nm is incident on a set of planes of a certain crystal. The first Bragg reflection is observed for an incidence angle of 30°. What is the corresponding inter planar spacing?

    [Question ID = 6669]

    1. 0.16 nm [Option ID = 26670]
    2. 0.67 nm [Option ID = 26671]
    3. --- Content provided by FirstRanker.com ---

    4. 1.02 nm [Option ID = 26672]
    5. 0.89 nm [Option ID = 26673]

    Correct Answer :-

    • 0.16 nm [Option ID = 26670]

  5. --- Content provided by FirstRanker.com ---

  6. What is the velocity of conduction electron of silver having Fermi energy 5.52 eV

    [Question ID = 6670]

    1. 1.39 x 106 m/s [Option ID = 26674]
    2. 2.39 x 106 m/s [Option ID = 26675]
    3. 0.89 x 106 m/s [Option ID = 26676]
    4. --- Content provided by FirstRanker.com ---

    5. 0 [Option ID = 26677]

    Correct Answer :-

    • 1.39 x 106 m/s [Option ID = 26674]

  7. Given that a piece of n-type silicon contains impurity atoms, calculate the carrier concentration of silicon at room temperature. Given that the intrinsic electron concentration of silicon at room temperature is 1.6 × 1016 m-3

    --- Content provided by FirstRanker.com ---

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    1. 3.2 x 1010 m-3 [Option ID = 26678]
    2. 2.5 x 1010 m-3 [Option ID = 26679]
    3. 1.5 x 1010 m-3 [Option ID = 26680]
    4. 3.2 x 1011 m-3 [Option ID = 26681]
    5. --- Content provided by FirstRanker.com ---

    Correct Answer :-

    • 3.2 x 1010 m-3 [Option ID = 26678]

  8. The dispersion relation for a one-dimensional monoatomic lattice chain is given by the equation, w = vs|sin(K2)|, where, 'a' is the interatomic spacing, K = λ and vs has the dimension of velocity. The relation between the phase velocity Vp and group velocity Vg in the long wavelength limit is given by

    [Question ID = 6674]

    --- Content provided by FirstRanker.com ---

    1. Vp = Vg [Option ID = 26690]
    2. Vp = 2Vg [Option ID = 26691]
    3. Vp = Vg/2 [Option ID = 26692]
    4. Vp ≠ Vg [Option ID = 26693]

    Correct Answer :-

    --- Content provided by FirstRanker.com ---

    • Vp = Vg [Option ID = 26690]

  9. The largest wavelength of light falling on double slits separated by 1.5 µm, for which there is a first order maximum is in the,

    [Question ID = 6676]

    1. ultraviolet range [Option ID = 26698]
    2. --- Content provided by FirstRanker.com ---

    3. visible range [Option ID = 26699]
    4. infrared range [Option ID = 26700]
    5. X-ray range [Option ID = 26701]

    Correct Answer :-

    • infrared range [Option ID = 26700]

    --- Content provided by FirstRanker.com ---

  10. In a multi-stage R-C coupled amplifier, the coupling capacitor

    [Question ID = 6680]

    1. limits the low frequency response [Option ID = 26714]
    2. limits the high frequency response [Option ID = 26715]
    3. --- Content provided by FirstRanker.com ---

    4. reduces the amplitude of input signal [Option ID = 26716]
    5. blocks d.c. component without affecting the frequency response [Option ID = 26717]

    Correct Answer :-

    • blocks d.c. component without affecting the frequency response [Option ID = 26717]

  11. --- Content provided by FirstRanker.com ---

  12. An AM transmitter is coupled to an aerial. The input current is found to be 5 A. With modulation the current value increases to 5.9 A. The depth of modulation is

    [Question ID = 6681]

    1. 83.4% [Option ID = 26718]
    2. 88.6% [Option ID = 26719]
    3. 78.2% [Option ID = 26720]
    4. --- Content provided by FirstRanker.com ---

    5. 74.3% [Option ID = 26721]

    Correct Answer :-

    • 88.6% [Option ID = 26719]

  13. Hexadecimal equivalent of a digital number 10011101 is

    --- Content provided by FirstRanker.com ---

    [Question ID = 6683]

    1. H913 [Option ID = 26726]
    2. 9D [Option ID = 26727]
    3. AE [Option ID = 26728]
    4. 157 [Option ID = 26729]
    5. --- Content provided by FirstRanker.com ---

    Correct Answer :-

    • 9D [Option ID = 26727]

  14. If the doping concentration in a Si-Zener diode is increased, the Zener breakdown voltage

    [Question ID = 6684]

    --- Content provided by FirstRanker.com ---

    1. Decreases [Option ID = 26730]
    2. Increases [Option ID = 26731]
    3. Remains unchanged [Option ID = 26732]
    4. Becomes broader [Option ID = 26733]

    Correct Answer :-

    --- Content provided by FirstRanker.com ---

    • Decreases [Option ID = 26730]

  15. Which one of the following is an example of doubly magic nuclei

    [Question ID = 6685]

    1. 16O [Option ID = 26734]
    2. --- Content provided by FirstRanker.com ---

    3. 48Ca [Option ID = 26735]
    4. 124Sn [Option ID = 26736]
    5. 204pb [Option ID = 26737]

    Correct Answer :-

    48Ca [Option ID = 26735]

    --- Content provided by FirstRanker.com ---

  16. Which radiation has maximum ionization power?

    [Question ID = 6686]

    1. Alpha [Option ID = 26738]
    2. Beta [Option ID = 26739]
    3. --- Content provided by FirstRanker.com ---

    4. Neutron [Option ID = 26740]
    5. Gamma [Option ID = 26741]

    Correct Answer :-

    • Alpha [Option ID = 26738]

  17. --- Content provided by FirstRanker.com ---

  18. For beta-minus decay, which statement is TRUE?

    [Question ID = 6688]

    1. Daughter nuclide atomic mass (AD) is more than that of the parent nuclide atomic mass (Ap) [Option ID = 26746]
    2. Daughter nuclide atomic number (ZD) is same that of the parent nuclide atomic number (Zp) [Option ID = 26747]
    3. Daughter nuclide neutron number (ND) is less than that of the parent nuclide neutron number (Np) [Option ID = 26748]
    4. --- Content provided by FirstRanker.com ---

    5. Daughter nuclide neutron number (ND) is same that of the parent nuclide neutron number (Np) [Option ID = 26749]

    Correct Answer :-

    • Daughter nuclide neutron number (ND) is less than that of the parent nuclide neutron number (Np) [Option ID = 26748]

  19. The probability that student A solves the problem is 1/2, and that of B is 2/3. What is the probability that the problem is solved?

    --- Content provided by FirstRanker.com ---

    [Question ID = 6689]

    1. 4/6 [Option ID = 26750]
    2. 1/3 [Option ID = 26751]
    3. 5/6 [Option ID = 26752]
    4. none of these [Option ID = 26753]
    5. --- Content provided by FirstRanker.com ---

    Correct Answer :-

    • 5/6 [Option ID = 26752]

  20. Are the three points whose position vectors are 2i+3j-4k, i-2j+3k and -7j+10k collinear?

    [Question ID = 6690]

    --- Content provided by FirstRanker.com ---

    1. Yes [Option ID = 26754]
    2. No [Option ID = 26755]
    3. Has both [Option ID = 26756]
    4. None of these [Option ID = 26757]

    Correct Answer :-

    --- Content provided by FirstRanker.com ---

    • Yes [Option ID = 26754]

  21. The number of independent fundamental solutions in n-th order ordinary differential equation is

    [Question ID = 6692]

    1. n-1 [Option ID = 26762]
    2. --- Content provided by FirstRanker.com ---

    3. n [Option ID = 26763]
    4. n+1 [Option ID = 26764]
    5. 2n [Option ID = 26765]

    Correct Answer :-

    • n [Option ID = 26763]

    --- Content provided by FirstRanker.com ---

  22. If z₁ = 2-3i and z₂ = 4 + 6i then find z1z2

    [Question ID = 6693]

    1. -5/26-6i/13 [Option ID = 26766]
    2. -5/26+6i/13 [Option ID = 26767]
    3. --- Content provided by FirstRanker.com ---

    4. 8+18i [Option ID = 26768]
    5. 8-18i [Option ID = 26769]

    Correct Answer :-

    • -5/26-6i/13 [Option ID = 26766]

  23. --- Content provided by FirstRanker.com ---

  24. The rank of the following matrix
    | 1 2 2 |
    | 2 1 1 |
    | 3 6 6 | is

    [Question ID = 6699]

    --- Content provided by FirstRanker.com ---

    1. 1 [Option ID = 26790]
    2. 2 [Option ID = 26791]
    3. 3 [Option ID = 26792]
    4. 4 [Option ID = 26793]

    Correct Answer :-

    --- Content provided by FirstRanker.com ---

    • 2 [Option ID = 26791]

  25. Two Carnot engines X and Y are operating in series. The engine X receives heat at 1200 K and rejects to a reservoir at a temperature T. The second engine Y receives the heat rejected by X and in turn rejects to a heat reservoir at 300 K. Calculate the temperature T (in Kelvin) for the situation when the efficiency of the engines is same

    [Question ID = 6704]

    1. 600 K [Option ID = 26810]
    2. --- Content provided by FirstRanker.com ---

    3. 750 K [Option ID = 26811]
    4. 0 [Option ID = 26812]
    5. 450 K [Option ID = 26813]

    Correct Answer :-

    • 600 K [Option ID = 26810]

    --- Content provided by FirstRanker.com ---

  26. A square conducting loop of mass m, side l and resistance R is dropped into a region with a uniform horizontal magnetic field B. B's direction is perpendicular to the plane of the falling loop. The loop will reach a terminal velocity v given by

    [Question ID = 7330]

    1. v = mgR(Bl)2 [Option ID = 29314]
    2. v = 2mgRB2l2 [Option ID = 29315]
    3. --- Content provided by FirstRanker.com ---

    4. v = mgR2B2l2 [Option ID = 29316]
    5. None of these [Option ID = 29317]

    Correct Answer :-

    • v = mgR(Bl)2 [Option ID = 29314]

  27. --- Content provided by FirstRanker.com ---

  28. An ideal inductor, a resistor of resistance R Ohms and a capacitor with adjustable capacitance are connected in series to an alternating voltage with an effective value of V Volts and with frequency of f Hz. The current flowing through the circuit when the capacitance of the capacitor is set to C1 is the same as when the capacitance of the capacitor is set to C2, C2 > C1. The inductance of the inductor L is given by

    [Question ID = 7331]

    1. 12f2 C1+C2C1C2 [Option ID = 29318]
    2. 12f2 C1C2C1+C2 [Option ID = 29319]
    3. 12πf C1C2C1-C2 [Option ID = 29320]
    4. --- Content provided by FirstRanker.com ---

    5. 12f2R (C1C2(C1-C2)) / C1+C2 [Option ID = 29321]

    Correct Answer :-

    12f2 C1+C2C1C2 [Option ID = 29318]

  29. A cylinder of length L is made up of an inner core of steel of radius r1 and an outer sheath of copper of thickness r1. The resistivities of steel and copper are p1 and p2 respectively. The total resistance of the cylinder is

    --- Content provided by FirstRanker.com ---

    [Question ID = 7332]

    1. (P1P2)Lπr12 (3P1 + P2) [Option ID = 29322]
    2. (3P1 + P2)Lπr12 [Option ID = 29323]
    3. (P1+P2)L4πr12 [Option ID = 29324]
    4. Cannot be determined from the information provided above [Option ID = 29325]
    5. --- Content provided by FirstRanker.com ---

    Correct Answer :-

    (P1P2)Lπr12 (3P1 + P2) [Option ID = 29322]

  30. A meter stick is at an angle of 45° to the x' axis in its rest frame. The rod moves with a speed of c2 along the +x direction w.r.t. a frame S. The length of the rod in S is

    [Question ID = 7333]

    --- Content provided by FirstRanker.com ---

    1. √32 meters [Option ID = 29326]
    2. √53 meters [Option ID = 29327]
    3. √23 meters [Option ID = 29328]
    4. 23 meters [Option ID = 29329]

    Correct Answer :-

    --- Content provided by FirstRanker.com ---

    √32 meters [Option ID = 29326]

  31. An AC generator with output V and frequency f is connected to the plates of an air filled parallel plate capacitor of plate area A and plate separation d. The maximum value of the displacement current is

    [Question ID = 7334]

    1. 2π εo fVAd [Option ID = 29330]
    2. --- Content provided by FirstRanker.com ---

    3. εofVd [Option ID = 29331]
    4. 2πξεo AVd [Option ID = 29332]
    5. Cannot be determined from the information provided [Option ID = 29333]

    Correct Answer :-

    2π εo fVAd [Option ID = 29330]

    --- Content provided by FirstRanker.com ---

  32. An electron enters a uniform magnetic field of flux density 1.2 Wb/m². Find the energy difference in (eV), between electrons having spins parallel and anti-parallel to the field. (Given: μB = 9.3 x 10-24 J/T)

    [Question ID = 7335]

    1. 3.95 x 10-5 eV [Option ID = 29334]
    2. 13.95 x 10-5eV [Option ID = 29335]
    3. --- Content provided by FirstRanker.com ---

    4. 23.95 x 10-5 eV [Option ID = 29336]
    5. 33.95 x 10-5 eV [Option ID = 29337]

    Correct Answer :-

    • 13.95 x 10-5eV [Option ID = 29335]

  33. --- Content provided by FirstRanker.com ---

  34. Using the vector atom model, determine the possible values of the angular momentum of an electron in f- shell

    [Question ID = 7336]

    1. 3√72 ħ √352ħ [Option ID = 29338]
    2. 2√72 h √252 ħ [Option ID = 29339]
    3. 5√72 h √152 ħ [Option ID = 29340]
    4. --- Content provided by FirstRanker.com ---

    5. 7√52ħ √72 ħ √52 [Option ID = 29341]

    Correct Answer :-

    3√72 ħ √352ħ [Option ID = 29338]

  35. The two eigenvalues of the matrix

    --- Content provided by FirstRanker.com ---

    | 1 1 |
    | 1 1 | are

    [Question ID = 7337]

    1. 2,0 [Option ID = 29342]
    2. 1,1 [Option ID = 29343]
    3. --- Content provided by FirstRanker.com ---

    4. 1,2 [Option ID = 29344]
    5. 0,1 [Option ID = 29345]

    Correct Answer :-

    • 2,0 [Option ID = 29342]

  36. --- Content provided by FirstRanker.com ---

  37. The commutator, [x², px], is equal to

    [Question ID = 7338]

    1. iħx [Option ID = 29346]
    2. 2iħx [Option ID = 29347]
    3. 2iħpx [Option ID = 29348]
    4. --- Content provided by FirstRanker.com ---

    5. Zero [Option ID = 29349]

    Correct Answer :-

    • iħx [Option ID = 29346]

  38. A particle of mass m is confined in the ground state of a one dimensional box extending from x = -l2 to x = +l2. The wave function of the particle in this state is h. The energy eigenvalue corresponding to

    --- Content provided by FirstRanker.com ---

    [Question ID = 7339]

    1. ħ2 π232mL2 [Option ID = 29350]
    2. ħ2 π22 mL2 [Option ID = 29351]
    3. ħ2 π24 mL2 [Option ID = 29352]
    4. 216mL2 [Option ID = 29353]
    5. --- Content provided by FirstRanker.com ---

    Correct Answer :-

    ħ2 π232mL2 [Option ID = 29350]

  39. The normalized wave functions ψ1 and ψ2, correspond to the ground state and the first excited states of a particle in a potential. The operator  acts on the wave functions as Âψ1 = ψ2 and Âψ2 = ψ1. The expectation value of the operator Å for the state ψ = (3ψ1 + 4ψ2)/5 is

    [Question ID = 7340]

    --- Content provided by FirstRanker.com ---

    1. 0.96 [Option ID = 29354]
    2. 0.32 [Option ID = 29355]
    3. 0 [Option ID = 29356]
    4. 0.75 [Option ID = 29357]

    Correct Answer :-

    --- Content provided by FirstRanker.com ---

    • 0.96 [Option ID = 29354]

  40. The primitive translation vector of a two-dimensional lattice are a = 2î + î, b = 2ĵ. The primitive translation vector of its reciprocal lattice in x-direction is given by

    [Question ID = 7341]

    1. α* = πî [Option ID = 29358]
    2. --- Content provided by FirstRanker.com ---

    3. α* = 2πî [Option ID = 29359]
    4. α* = î [Option ID = 29360]
    5. α* = πλ [Option ID = 29361]

    Correct Answer :-

    • α* = πî [Option ID = 29358]

    --- Content provided by FirstRanker.com ---

  41. The mean drift speed vd of an electron in an applied electric field E with electron density ‘n’ can be expressed as

    [Question ID = 7342]

    1. vd = |σE/ne| [Option ID = 29362]
    2. vd = |σE/el [Option ID = 29363]
    3. --- Content provided by FirstRanker.com ---

    4. vd = |σE/nl [Option ID = 29364]
    5. none of these [Option ID = 29365]

    Correct Answer :-

    • vd = |σE/ne| [Option ID = 29362]

  42. --- Content provided by FirstRanker.com ---

  43. An un-damped oscillator has time period τo = 1.0 sec. Now a little damping is added so that its time period changes to τ1 = 1.001 sec. By what factor will the amplitude of oscillation decrease after 10 cycles?

    [Question ID = 7343]

    1. ≈ 17 [Option ID = 29366]
    2. ≈ 1 [Option ID = 29367]
    3. ≈ 1/17 [Option ID = 29368]
    4. --- Content provided by FirstRanker.com ---

    5. None of these [Option ID = 29369]

    Correct Answer :-

    • ≈ 17 [Option ID = 29366]

  44. A kilogram of water has a constant heat capacity of 4.2 kJ/K/kg over the temperature range 0°C to 100° C. The water was initially at 0° C and is brought into contact with a heat reservoir at 100° C. When the water is in thermal equilibrium with the heat reservoir calculate the change in entropy of the universe (Water + Reservoir).

    --- Content provided by FirstRanker.com ---

    [Question ID = 7344]

    1. 184.8 J/K [Option ID = 29370]
    2. 2437.8 J/K [Option ID = 29371]
    3. 0 J/K [Option ID = 29372]
    4. 1310.8 J/K [Option ID = 29373]
    5. --- Content provided by FirstRanker.com ---

    Correct Answer :-

    • 184.8 J/K [Option ID = 29370]

  45. Two identical finite bodies of constant volume and of constant heat capacity at constant volume Cv, are used to drive a heat engine. Their initial temperatures are T1 and T2. The maximum amount of work which can be obtained from the system is

    [Question ID = 7345]

    --- Content provided by FirstRanker.com ---

    1. Cv {2 (T1T2)1/2 - (T1 + T2)} [Option ID = 29374]
    2. Cv (T1 + T2) [Option ID = 29375]
    3. Cv (T1T2)1/2 [Option ID = 29376]
    4. html
    5. 0 [Option ID = 29377]

    Correct Answer :-

    --- Content provided by FirstRanker.com ---

    • Cv {2 (T1T2)1/2 - (T1 + T2)} [Option ID = 29374]

  46. For a system of bosons, we can write the Bose-Einstein distribution function as f(Ei) = 1exp(α+βEi)-1, Where, β = 1kB T and α = μ/kBT (KB = Boltzmann constant). If μ represents the chemical potential, then which one of the following is true?

    [Question ID = 7346]

    1. μ ≤ 0 [Option ID = 29378]
    2. --- Content provided by FirstRanker.com ---

    3. μ ≥ 0 [Option ID = 29379]
    4. μ ≤ 1 [Option ID = 29380]
    5. μ ≥ 1 [Option ID = 29381]

    Correct Answer :-

    • μ ≥ 0 [Option ID = 29379]

    --- Content provided by FirstRanker.com ---

  47. An ideal capacitor C is charged to a voltage Vo and connected at t = 0 across an ideal inductor L (The circuit now consists of a capacitor and an inductor only). If the resonant frequency ωo = 1√LC, the voltage across the capacitor at time t > 0 is given by

    [Question ID = 7347]

    1. Vo [Option ID = 29382]
    2. Vo cos(ωot) [Option ID = 29383]
    3. --- Content provided by FirstRanker.com ---

    4. Vo sin(ωot) [Option ID = 29384]
    5. Voeotcos (ωot) [Option ID = 29385]

    Correct Answer :-

    • Vo cos(ωot) [Option ID = 29383]

  48. --- Content provided by FirstRanker.com ---

  49. Magnetic moment of proton (μp) in terms of nuclear magneton (μN) is

    [Question ID = 7348]

    1. μp = 1.9μμ [Option ID = 29386]
    2. μp = 2.7 μN [Option ID = 29387]
    3. μp = 3.8μμ [Option ID = 29388]
    4. --- Content provided by FirstRanker.com ---

    5. μp = 5.4μμ [Option ID = 29389]

    Correct Answer :-

    • μp = 2.7 μN [Option ID = 29387]

  50. Find the eigenvalues of A+4I where I is identity matrix and A = | 1 2 | | 1 2 |

    --- Content provided by FirstRanker.com ---

    [Question ID - 7349]

    1. 1,3 [Option ID = 29390]
    2. 5,7 [Option ID = 29391]
    3. None of these [Option ID = 29392]
    4. None of these [Option ID = 29393]
    5. --- Content provided by FirstRanker.com ---

    Correct Answer :-

    • 5,7 [Option ID = 29391]

  51. The limit lim n→∞ (1n)n is

    [Question ID = 7350]

    --- Content provided by FirstRanker.com ---

    1. 1 [Option ID = 29394]
    2. 1e [Option ID = 29395]
    3. 0 [Option ID = 29396]
    4. e [Option ID = 29397]

    Correct Answer :-

    --- Content provided by FirstRanker.com ---

    1e [Option ID = 29395]

  52. ((1+i)/√2)49 is equal to

    [Question ID = 7351]

    1. (1+i)/√2 [Option ID = 29398]
    2. --- Content provided by FirstRanker.com ---

    3. (2+98i)/√2 [Option ID = 29399]
    4. √2 [Option ID = 29400]
    5. (2-98i)/√2 [Option ID = 29401]

    Correct Answer :-

    • (1+i)/√2 [Option ID = 29398]

    --- Content provided by FirstRanker.com ---

  53. sin (π4+i) is equal to

    [Question ID = 7352]

    1. √24 (e+e-14) + i √24(e14-e-14) [Option ID = 29402]
    2. √24 (e14+e-14) + i √24(e14-e-14) [Option ID = 29403]
    3. --- Content provided by FirstRanker.com ---

    4. √24 (e+e-)+ i √24(e-e-) [Option ID = 29404]
    5. √24 (e14+e-) + i √24(e14+e-14) [Option ID = 29405]

    Correct Answer :-

    √24 (e14+e-14) + i √24(e14-e-14) [Option ID = 29403]

  54. --- Content provided by FirstRanker.com ---

  55. Two students are working on a math problem. The first student has probability 1/2 of solving it and the second student has probability 3/4 of solving it. What is the probability that at least one of them solves the problem?

    [Question ID = 7353]

    1. 38 [Option ID = 29406]
    2. 58 [Option ID = 29407]
    3. 78 [Option ID = 29408]
    4. --- Content provided by FirstRanker.com ---

    5. 98 [Option ID = 29409]

    Correct Answer :-

    <

    78 [Option ID = 29408]

  56. Expansion of the function f(z) = 1z2-3z+2 in the region defined by |z| > 2 is

    --- Content provided by FirstRanker.com ---

    [Question ID = 7354]

    1. z-2+3z-4+7z-6+... [Option ID = 29410]
    2. z-2+3z-3+7z-4+... [Option ID = 29411]
    3. z-1+3z-2+7z-3+... [Option ID = 29412]
    4. z-3+3z-4+7z-5+... [Option ID = 29413]
    5. --- Content provided by FirstRanker.com ---

    Correct Answer :-

    • z-2+3z-3+7z-4+... [Option ID = 29411]

  57. The Fourier transformation of the function f(x) = 1 for |x| < a = 0 for |x| > a is

    [Question ID = 7355]

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    1. 2π sin saS [Option ID = 29414]
    2. π2 sin saS [Option ID = 29415]
    3. π2 sin saS [Option ID = 29416]
    4. π2 cos saS [Option ID = 29417]

    Correct Answer :-

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    2π sin saS [Option ID = 29414]

  58. The Laplace transformation of the function f(t) = 2t is

    [Question ID = 7356]

    1. ln 2s - ln 2 [Option ID = 29418]
    2. --- Content provided by FirstRanker.com ---

    3. 1s - ln 2 [Option ID = 29419]
    4. ln 2sln2-1 [Option ID = 29420]
    5. ln 2s ln 2-1 [Option ID = 29421]

    Correct Answer :-

    1s - ln 2 [Option ID = 29419]

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  59. Consider a collection of non-interacting particles, each of mass m in a volume where the gravitational force is a -ve (z- direction). Consider the system is in thermal equilibrium at a temperature T. Find the partition function

    [Question ID = 7357]

    1. QN = (kT)32πmgh2 [Option ID = 29422]
    2. QN = ...
    3. --- Content provided by FirstRanker.com ---



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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