NUST Engineering Past Paper-18

198 MCQs — Click "Reveal" to see the correct answer.

1. 1

   NUST Engineering Past Paper-18

   Under which of the following conditions is ?

   A

   but

   B

   and are disjoint sets

   C

   but

   D

   All of these

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2. 2

   NUST Engineering Past Paper-18

   The complex number whose polar form is equals:

   A

   B

   C

   D

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3. 3

   NUST Engineering Past Paper-18

   A fair die is rolled twice. What is the probability that the first roll shows an even number and the second roll shows a number greater than 3?

   A

   B

   C

   D

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4. 4

   NUST Engineering Past Paper-18

   Evaluate .

   A

   B

   C

   2

   D

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5. 5

   NUST Engineering Past Paper-18

   Determine the equation of the line that passes through the points and .

   A

   B

   C

   D

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6. 6

   NUST Engineering Past Paper-18

   Evaluate the definite integral .

   A

   0

   B

   C

   D

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7. 7

   NUST Engineering Past Paper-18

   Pick the equation that represents an ellipse with semi-major axis along the -axis and semi-minor axis .

   A

   B

   C

   D

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8. 8

   NUST Engineering Past Paper-18

   Find the foci of the ellipse .

   A

   and

   B

   and

   C

   D

   None of these

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9. 9

   NUST Engineering Past Paper-18

   Find the focus of the parabola .

   A

   B

   C

   D

   None of these

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10. 10

    NUST Engineering Past Paper-18

    If the vector is parallel to , find and .

    A

    B

    C

    D

    None of these

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11. 11

    NUST Engineering Past Paper-18

    Two numbers are drawn at random from the integers to without replacement. What is the probability that both numbers are multiples of or ?

    A

    B

    C

    D

    None of these

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12. 12

    NUST Engineering Past Paper-18

    Differentiate with respect to .

    A

    B

    C

    D

    None of these

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13. 13

    NUST Engineering Past Paper-18

    Compute .

    A

    B

    C

    D

    None of these

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14. 14

    NUST Engineering Past Paper-18

    If , find in degrees (acute angle).

    A

    ≈ 25.5°

    B

    ≈ 30°

    C

    ≈ 45°

    D

    None of these

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15. 15

    NUST Engineering Past Paper-18

    Compute .

    A

    0

    B

    C

    D

    None of these

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16. 16

    NUST Engineering Past Paper-18

    Find the maximum value of .

    A

    8

    B

    C

    5

    D

    None of these

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17. 17

    NUST Engineering Past Paper-18

    What is the domain of ?

    A

    B

    C

    D

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18. 18

    NUST Engineering Past Paper-18

    Evaluate .

    A

    B

    C

    D

    None of these

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19. 19

    NUST Engineering Past Paper-18

    Find .

    A

    B

    C

    D

    None of these

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20. 20

    NUST Engineering Past Paper-18

    If , find .

    A

    3

    B

    C

    D

    None of these

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21. 21

    NUST Engineering Past Paper-18

    Approximate using the binomial expansion (first three terms).

    A

    ≈ 1.08

    B

    ≈ 1.05

    C

    ≈ 1.06

    D

    None of these

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22. 22

    NUST Engineering Past Paper-18

    What is the period of ?

    A

    B

    C

    D

    None of these

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23. 23

    NUST Engineering Past Paper-18

    Evaluate .

    A

    10

    B

    5

    C

    0

    D

    None of these

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24. 24

    NUST Engineering Past Paper-18

    Compute .

    A

    B

    4

    C

    D

    None of these

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25. 25

    NUST Engineering Past Paper-18

    Find the inverse function of .

    A

    B

    C

    D

    None of these

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26. 26

    NUST Engineering Past Paper-18

    Evaluate .

    A

    1

    B

    0

    C

    D

    None of these

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27. 27

    NUST Engineering Past Paper-18

    Compute .

    A

    B

    C

    D

    None of these

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28. 28

    NUST Engineering Past Paper-18

    Decompose into partial fractions. Find and .

    A

    B

    C

    D

    None of these

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29. 29

    NUST Engineering Past Paper-18

    Find .

    A

    B

    C

    D

    None of these

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30. 30

    NUST Engineering Past Paper-18

    If , find in degrees (acute).

    A

    B

    C

    D

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31. 31

    NUST Engineering Past Paper-18

    If are the roots of , find the quadratic whose roots are and .

    A

    B

    C

    D

    None of these

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32. 32

    NUST Engineering Past Paper-18

    A circular arc subtends a central angle in a circle of radius . Find the length of the arc.

    A

    B

    C

    D

    None of these

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33. 33

    NUST Engineering Past Paper-18

    Find the harmonic mean of and .

    A

    6

    B

    8

    C

    D

    None of these

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34. 34

    NUST Engineering Past Paper-18

    Evaluate .

    A

    B

    C

    D

    None of these

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35. 35

    NUST Engineering Past Paper-18

    Which of these series are geometric? (I) , (II) , (III)

    A

    Only B

    B

    Only C

    C

    Only A

    D

    Both A and C

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36. 36

    NUST Engineering Past Paper-18

    Find the period of .

    A

    B

    C

    D

    None of these

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37. 37

    NUST Engineering Past Paper-18

    If and the terminal arm does NOT lie in the fourth quadrant, in which quadrant does it lie?

    A

    None

    B

    III

    C

    II

    D

    I

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38. 38

    NUST Engineering Past Paper-18

    Find the value of less than for which .

    A

    B

    C

    D

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39. 39

    NUST Engineering Past Paper-18

    If and , evaluate .

    A

    B

    C

    D

    None of these

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40. 40

    NUST Engineering Past Paper-18

    A line bisects quadrants I and III of the coordinate plane. Find both its - and -intercepts.

    A

    B

    C

    D

    None of these

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41. 41

    NUST Engineering Past Paper-18

    Find the eccentricity of .

    A

    B

    C

    D

    None of these

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42. 42

    NUST Engineering Past Paper-18

    Find the centre of the ellipse .

    A

    B

    C

    D

    None of these

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43. 43

    NUST Engineering Past Paper-18

    Find the asymptotes of the hyperbola .

    A

    B

    C

    D

    None of these

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44. 44

    NUST Engineering Past Paper-18

    Find the centre of the circle .

    A

    B

    C

    D

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45. 45

    NUST Engineering Past Paper-18

    Find the area under the curve between and .

    A

    B

    C

    D

    None of these

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46. 46

    NUST Engineering Past Paper-18

    For two positive numbers, what is the standard chain of inequality between the arithmetic mean (A), geometric mean (G), and harmonic mean (H)?

    A

    B

    C

    None

    D

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47. 47

    NUST Engineering Past Paper-18

    For the system and , can a trivial (i.e., ) solution exist? If so, for what ?

    A

    B

    None

    C

    D

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48. 48

    NUST Engineering Past Paper-18

    For two finite overlapping sets and , which formula correctly relates , , , and ?

    A

    None

    B

    C

    D

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49. 49

    NUST Engineering Past Paper-18

    If two events and satisfy , what term best describes their relationship?

    A

    Mutually Exclusive

    B

    Disjoint

    C

    None

    D

    Overlapping

    Reveal answer
50. 50

    NUST Engineering Past Paper-18

    Identify the conic represented by .

    A

    Ellipse

    B

    Hyperbola

    C

    None

    D

    Circle

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51. 51

    NUST Engineering Past Paper-18

    If and , find .

    A

    B

    C

    D

    None of these

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52. 52

    NUST Engineering Past Paper-18

    If and , what can we conclude?

    A

    B

    None

    C

    D

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53. 53

    NUST Engineering Past Paper-18

    Classify the homogeneous linear system and by the number of solutions.

    A

    Trivial solution ()

    B

    None

    C

    Non-trivial solution

    D

    Two solutions

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54. 54

    NUST Engineering Past Paper-18

    Express as partial fractions.

    A

    B

    C

    D

    None of these

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55. 55

    NUST Engineering Past Paper-18

    Suppose . Determine the sign of .

    A

    B

    None

    C

    D

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56. 56

    NUST Engineering Past Paper-18

    Suppose . Determine the sign of .

    A

    None

    B

    C

    D

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57. 57

    NUST Engineering Past Paper-18

    If is a skew-symmetric matrix, what type of matrix is ?

    A

    Skew-Symmetric

    B

    Neither

    C

    Symmetric

    D

    None

    Reveal answer
58. 58

    NUST Engineering Past Paper-18

    If , find .

    A

    B

    C

    D

    None of these

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59. 59

    NUST Engineering Past Paper-18

    Which branch of geometry is used to determine the direction of the Qiblah (Kaaba) from a given location on Earth?

    A

    Spherical Geometry

    B

    Astronomical methods

    C

    None

    D

    Plane Geometry

    Reveal answer
60. 60

    NUST Engineering Past Paper-18

    Find every value of in that satisfies .

    A

    B

    C

    D

    None of these

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61. 61

    NUST Engineering Past Paper-18

    Find every in that satisfies .

    A

    B

    C

    D

    None of these

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62. 62

    NUST Engineering Past Paper-18

    Find the 7th-order derivative of .

    A

    B

    C

    D

    None of these

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63. 63

    NUST Engineering Past Paper-18

    On a Cartesian plane, a point of the form on the -axis is called the line's:

    A

    Slope

    B

    -intercept

    C

    None

    D

    -intercept

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64. 64

    NUST Engineering Past Paper-18

    How are terminating decimals classified — as rational or irrational?

    A

    Rational

    B

    Non-terminating

    C

    Irrational

    D

    None

    Reveal answer
65. 65

    NUST Engineering Past Paper-18

    The sum of the cube roots of unity equals . Find .

    A

    B

    5

    C

    0

    D

    None of these

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66. 66

    NUST Engineering Past Paper-18

    Let . What is the order of ?

    A

    B

    C

    D

    None of these

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67. 67

    NUST Engineering Past Paper-18

    Given matrices , (identity), and — which of the following statements is true?

    A

    B

    None

    C

    exists

    D

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68. 68

    NUST Engineering Past Paper-18

    If two events and satisfy , how are they classified?

    A

    None

    B

    Both Disjoint and Mutually Exclusive

    C

    Disjoint

    D

    Overlapping

    Reveal answer
69. 69

    NUST Engineering Past Paper-18

    Find all real solutions of .

    A

    B

    C

    D

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70. 70

    NUST Engineering Past Paper-18

    Which of the following functions is *increasing* in the second quadrant (i.e., for )?

    A

    B

    C

    D

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71. 71

    NUST Engineering Past Paper-18

    How many multiples of lie between and ?

    A

    39

    B

    38

    C

    40

    D

    None of these

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72. 72

    NUST Engineering Past Paper-18

    Compute .

    A

    B

    C

    D

    Reveal answer
73. 73

    NUST Engineering Past Paper-18

    If , find .

    A

    B

    C

    D

    None of these

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74. 74

    NUST Engineering Past Paper-18

    If , find .

    A

    4

    B

    C

    D

    None of these

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75. 75

    NUST Engineering Past Paper-18

    Which expression is the standard double-angle formula for in terms of ?

    A

    B

    C

    None

    D

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76. 76

    NUST Engineering Past Paper-18

    In which quadrant(s) does the graph of lie?

    A

    Quadrants I and II

    B

    Quadrant III only

    C

    Quadrant I only

    D

    Quadrant II only

    Reveal answer
77. 77

    NUST Engineering Past Paper-18

    Which of the following equations describes a line parallel to the -axis?

    A

    None

    B

    C

    D

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78. 78

    NUST Engineering Past Paper-18

    Find the angle between the lines and .

    A

    B

    C

    D

    None of these

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79. 79

    NUST Engineering Past Paper-18

    Find the difference of the roots of .

    A

    B

    C

    11

    D

    None of these

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80. 80

    NUST Engineering Past Paper-18

    In standard linear programming with non-negativity constraints (, ), in which quadrant does the feasible region lie?

    A

    None

    B

    I

    C

    III

    D

    II

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81. 81

    NUST Engineering Past Paper-18

    Find the slope of the line through and .

    A

    2

    B

    C

    8

    D

    None of these

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82. 82

    NUST Engineering Past Paper-18

    Find the point of intersection of the lines and .

    A

    B

    C

    D

    None of these

    Reveal answer
83. 83

    NUST Engineering Past Paper-18

    Find all real solutions of .

    A

    B

    C

    D

    Reveal answer
84. 84

    NUST Engineering Past Paper-18

    Solve for .

    A

    B

    C

    D

    None of these

    Reveal answer
85. 85

    NUST Engineering Past Paper-18

    Find the sum of the infinite geometric series .

    A

    B

    C

    D

    None of these

    Reveal answer
86. 86

    NUST Engineering Past Paper-18

    Identify the position of the term independent of in the expansion of .

    A

    term

    B

    term

    C

    term

    D

    None of these

    Reveal answer
87. 87

    NUST Engineering Past Paper-18

    If the hypotenuse of a right triangle is , find its circumradius.

    A

    13

    B

    26

    C

    12

    D

    None of these

    Reveal answer
88. 88

    NUST Engineering Past Paper-18

    From a squad of players, a team of must be selected. If both the captain and the vice-captain must be included, what is the probability of any such selection?

    A

    B

    C

    D

    None of these

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89. 89

    NUST Engineering Past Paper-18

    Which of the following statements is NOT a valid trigonometric identity?

    A

    B

    None (all are correct)

    C

    D

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90. 90

    NUST Engineering Past Paper-18

    If , find .

    A

    B

    C

    D

    None of these

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91. 91

    NUST Engineering Past Paper-18

    Simplify and identify the equivalent expression.

    A

    B

    C

    D

    None of these

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92. 92

    NUST Engineering Past Paper-18

    Evaluate .

    A

    B

    C

    D

    Reveal answer
93. 93

    NUST Engineering Past Paper-18

    In an arithmetic progression, and . Determine , the sum of the first terms.

    A

    B

    None

    C

    D

    Reveal answer
94. 94

    NUST Engineering Past Paper-18

    Evaluate .

    A

    B

    C

    D

    Reveal answer
95. 95

    NUST Engineering Past Paper-18

    If (with ), determine .

    A

    B

    C

    D

    Reveal answer
96. 96

    NUST Engineering Past Paper-18

    If , determine .

    A

    B

    C

    D

    None

    Reveal answer
97. 97

    NUST Engineering Past Paper-18

    For , evaluate .

    A

    B

    C

    D

    Reveal answer
98. 98

    NUST Engineering Past Paper-18

    Which of the following quantities is NOT stepped up by a transformer?

    A

    Current

    B

    Voltage

    C

    Power

    D

    Inductance

    Reveal answer
99. 99

    NUST Engineering Past Paper-18

    A body moves in uniform circular motion with angular velocity rad/s along a circle of radius m. Find its centripetal acceleration.

    A

    16 m/s

    B

    32 m/s

    C

    8 m/s

    D

    4 m/s

    Reveal answer
100. 100

     NUST Engineering Past Paper-18

     Which of the following devices converts electrical energy into mechanical energy?

     A

     Capacitor

     B

     Transformer

     C

     Motor

     D

     Generator

     Reveal answer
101. 101

     NUST Engineering Past Paper-18

     Who is credited with the quantum theory of light (the idea that light comes in discrete energy packets)?

     A

     Niels Bohr

     B

     Isaac Newton

     C

     Max Planck

     D

     Albert Einstein

     Reveal answer
102. 102

     NUST Engineering Past Paper-18

     Determine the energy stored in a F capacitor that has been charged to a potential difference of V.

     A

     J

     B

     J

     C

     J

     D

     J

     Reveal answer
103. 103

     NUST Engineering Past Paper-18

     A body of mass kg moving with velocity m/s collides head-on with a stationary body of mass kg. The two bodies stick together after the collision. Determine their common velocity.

     A

     m/s

     B

     m/s

     C

     m/s

     D

     m/s

     Reveal answer
104. 104

     NUST Engineering Past Paper-18

     In an electric circuit, the power dissipated in a resistor when current flows through it is . If the current is TRIPLED while stays the same, determine the new power dissipated.

     A

     B

     C

     D

     Reveal answer
105. 105

     NUST Engineering Past Paper-18

     Determine the work required to rotate a magnetic dipole of moment from its equilibrium orientation (parallel to the field ) to a final orientation making an angle of with .

     A

     Zero

     B

     C

     D

     Reveal answer
106. 106

     NUST Engineering Past Paper-18

     Identify the physical interpretation of the quantum-mechanical wave function in standard non-relativistic quantum mechanics.

     A

     The exact position of the particle

     B

     The energy of the particle directly

     C

     The probability amplitude; gives the probability density

     D

     The exact momentum of the particle

     Reveal answer
107. 107

     NUST Engineering Past Paper-18

     A train passes a platform observer at . Determine the relativistic Lorentz factor associated with the train.

     A

     B

     C

     D

     Reveal answer
108. 108

     NUST Engineering Past Paper-18

     For a small sphere falling through a viscous fluid under gravity, identify how the terminal velocity scales with the sphere's radius .

     A

     B

     C

     D

     Reveal answer
109. 109

     NUST Engineering Past Paper-18

     In a Compton scattering event, identify the scattering angle of the outgoing photon at which the wavelength shift is largest.

     A

     B

     C

     D

     Reveal answer
110. 110

     NUST Engineering Past Paper-18

     Determine the self-inductance of a long solenoid in terms of its number of turns per unit length , cross-sectional area , length , and the permeability of free space.

     A

     B

     C

     D

     Reveal answer
111. 111

     NUST Engineering Past Paper-18

     An kg person stands on a weighing scale in an elevator; the scale reads N. Taking m/s, find the magnitude and direction of the elevator's acceleration.

     A

     m/s² upward

     B

     m/s² downward

     C

     Zero

     D

     m/s² upward

     Reveal answer
112. 112

     NUST Engineering Past Paper-18

     State the relation between the optical power of a lens (in diopters) and its focal length (in metres).

     A

     B

     C

     D

     Reveal answer
113. 113

     NUST Engineering Past Paper-18

     Two capacitors F and F are connected in series across an V supply. Determine the voltage across .

     A

     V

     B

     V

     C

     V

     D

     V

     Reveal answer
114. 114

     NUST Engineering Past Paper-18

     A projectile is launched with initial speed on level ground. Recalling that the maximum horizontal range is reached at a launch angle of , identify this maximum range.

     A

     B

     C

     D

     Reveal answer
115. 115

     NUST Engineering Past Paper-18

     Identify the magnitude of the magnetic field at the geometric centre of a single circular current loop of radius carrying steady current .

     A

     B

     C

     D

     Reveal answer
116. 116

     NUST Engineering Past Paper-18

     In the Bohr model of the hydrogen atom, what is the ratio of the energy of the FIRST EXCITED STATE () to that of the GROUND STATE ()?

     A

     B

     C

     D

     Reveal answer
117. 117

     NUST Engineering Past Paper-18

     Identify the fundamental conservation principle that Bernoulli's equation expresses for steady, incompressible, non-viscous fluid flow along a streamline.

     A

     Newton's second law for fluids

     B

     Conservation of momentum

     C

     Conservation of mass for fluid flow

     D

     Conservation of energy for fluid flow

     Reveal answer
118. 118

     NUST Engineering Past Paper-18

     State the balance condition for a Wheatstone bridge whose four arms have resistances , (in one ratio) and , (in the other ratio).

     A

     B

     C

     D

     Reveal answer
119. 119

     NUST Engineering Past Paper-18

     Identify the underlying physical reason why a glass prism separates white light into its component colours.

     A

     White light undergoes total internal reflection

     B

     Different wavelengths of light have different refractive indices

     C

     Light is reflected from the surface

     D

     The prism absorbs certain frequencies

     Reveal answer
120. 120

     NUST Engineering Past Paper-18

     A mass on a spring of constant oscillates with amplitude . Identify the restoring force exerted on the mass at a displacement from equilibrium.

     A

     B

     C

     D

     Reveal answer
121. 121

     NUST Engineering Past Paper-18

     Arrange the three principal types of nuclear radiation in order of INCREASING penetrating power.

     A

     B

     C

     D

     Reveal answer
122. 122

     NUST Engineering Past Paper-18

     If a sinusoidal AC voltage of frequency is applied to the input of a full-wave rectifier, what is the fundamental frequency of the rectifier output?

     A

     B

     C

     D

     Reveal answer
123. 123

     NUST Engineering Past Paper-18

     Determine the accelerating potential difference required for a proton to have a de Broglie wavelength of Å m. (Use kg, J·s, C.)

     A

     V

     B

     V

     C

     V

     D

     V

     Reveal answer
124. 124

     NUST Engineering Past Paper-18

     State what conservation of baryon number requires in any allowed particle reaction.

     A

     Energy is conserved but baryon number may change

     B

     Mass is conserved

     C

     The total baryon number before and after reaction remains constant

     D

     The total charge is conserved

     Reveal answer
125. 125

     NUST Engineering Past Paper-18

     A mass oscillates on a spring of constant with time period . If both and are TRIPLED, what happens to the oscillation period?

     A

     times

     B

     Halves

     C

     Doubles

     D

     Remains the same

     Reveal answer
126. 126

     NUST Engineering Past Paper-18

     Identify the physical mechanism responsible for the energy released when two deuterium nuclei fuse to form a helium-3 nucleus and a neutron.

     A

     Chemical bonding energy

     B

     The mass defect converted via

     C

     Kinetic energy of incident particles

     D

     Coulomb repulsion energy

     Reveal answer
127. 127

     NUST Engineering Past Paper-18

     A uniform resistance wire of total resistance is cut into equal pieces, which are then joined in parallel. Determine the effective resistance of the parallel combination.

     A

     B

     C

     D

     Reveal answer
128. 128

     NUST Engineering Past Paper-18

     Determine the frequency of oscillation of a second's pendulum.

     A

     Hz

     B

     Hz

     C

     Hz

     D

     Hz

     Reveal answer
129. 129

     NUST Engineering Past Paper-18

     State what the principle of superposition for waves predicts about the displacement at a point where two waves overlap.

     A

     The resultant displacement is the algebraic sum of individual displacements

     B

     The wave with higher amplitude dominates

     C

     The waves always cancel

     D

     Energy doubles

     Reveal answer
130. 130

     NUST Engineering Past Paper-18

     A heat engine absorbs J from the hot reservoir per cycle and rejects J to the cold reservoir. Determine its thermal efficiency.

     A

     B

     C

     D

     Reveal answer
131. 131

     NUST Engineering Past Paper-18

     Identify the value of for an ideal DIATOMIC gas (treating only translational and rotational degrees of freedom as active).

     A

     B

     C

     D

     Reveal answer
132. 132

     NUST Engineering Past Paper-18

     When a light wave travelling in a less-dense medium reflects off the interface with an optically DENSER medium, identify the phase change of the reflected wave.

     A

     B

     (phase reversal)

     C

     (no change)

     D

     Reveal answer
133. 133

     NUST Engineering Past Paper-18

     Identify the rotational kinetic energy of a rigid body that has moment of inertia and spins with angular velocity .

     A

     B

     C

     D

     Reveal answer
134. 134

     NUST Engineering Past Paper-18

     Approximately how many photons does a W lamp emit per second if all of its output is monochromatic at nm? (Use J·s, m/s.)

     A

     B

     C

     D

     Reveal answer
135. 135

     NUST Engineering Past Paper-18

     If the distance between two stationary point charges is HALVED (with charges unchanged), how does the Coulomb force between them change?

     A

     Quarter

     B

     4 times larger

     C

     2 times larger

     D

     Half

     Reveal answer
136. 136

     NUST Engineering Past Paper-18

     Two sound waves of nearby frequencies and superpose to produce audible beats. Identify the beat frequency.

     A

     B

     C

     D

     Reveal answer
137. 137

     NUST Engineering Past Paper-18

     A bullet of mass g moving at m/s strikes a stationary block of mass kg on a frictionless surface and becomes embedded in it. Determine the velocity of the bullet-block system immediately after impact.

     A

     m/s

     B

     m/s

     C

     m/s

     D

     m/s

     Reveal answer
138. 138

     NUST Engineering Past Paper-18

     In an ideal LC circuit oscillating freely, at what instant of the cycle does the current through the inductor reach its maximum value?

     A

     The inductor has maximum voltage across it

     B

     The capacitor is fully charged

     C

     The capacitor is half-charged

     D

     The charge on the capacitor is zero (energy fully in inductor)

     Reveal answer
139. 139

     NUST Engineering Past Paper-18

     A cyclist negotiates a circular track of radius at constant speed . State the banking angle at which the turn can be completed without any reliance on friction.

     A

     B

     C

     D

     Reveal answer
140. 140

     NUST Engineering Past Paper-18

     A coil has self-inductance . If the current through the coil changes at rate , identify the induced back-EMF across the coil.

     A

     B

     C

     D

     Reveal answer
141. 141

     NUST Engineering Past Paper-18

     For total internal reflection to occur at an interface (going from a denser to a less-dense medium), what condition must hold for the angle of incidence?

     A

     Less than the critical angle

     B

     Exactly

     C

     Greater than the critical angle

     D

     Equal to the critical angle

     Reveal answer
142. 142

     NUST Engineering Past Paper-18

     In a cathode-ray oscilloscope (CRO), what aspect of the trace is governed by the time-base control?

     A

     The frequency of input signal

     B

     The horizontal sweep of the electron beam

     C

     The vertical deflection

     D

     The brightness of the spot

     Reveal answer
143. 143

     NUST Engineering Past Paper-18

     According to the work-energy theorem, the net work done on an object equals which quantity?

     A

     The change in its kinetic energy

     B

     The change in its potential energy

     C

     The change in its total mechanical energy

     D

     The product of force and time

     Reveal answer
144. 144

     NUST Engineering Past Paper-18

     A straight rod of length moves with constant velocity perpendicular to a uniform magnetic field of magnitude . Identify the magnitude of the induced motional EMF across the rod.

     A

     B

     C

     D

     Reveal answer
145. 145

     NUST Engineering Past Paper-18

     In a Young's double-slit setup, the wavelength of the illuminating light is INCREASED while the slit separation and screen distance remain fixed. How does the fringe separation change?

     A

     Remains the same

     B

     Increases

     C

     Decreases

     D

     Becomes zero

     Reveal answer
146. 146

     NUST Engineering Past Paper-18

     Describe the pattern of electric field lines surrounding an isolated POSITIVE point charge.

     A

     Radiate outward from the charge

     B

     Are circular around the charge

     C

     Converge toward the charge

     D

     Are parallel and uniform

     Reveal answer
147. 147

     NUST Engineering Past Paper-18

     A string fixed at both ends is vibrated in its SECOND OVERTONE (third harmonic). Determine the number of antinodes in the standing wave.

     A

     3

     B

     4

     C

     1

     D

     2

     Reveal answer
148. 148

     NUST Engineering Past Paper-18

     In the pair annihilation of a slow electron with a slow positron, what particles are typically produced?

     A

     One gamma-ray photon

     B

     Two gamma-ray photons

     C

     A neutron and proton

     D

     Two electrons

     Reveal answer
149. 149

     NUST Engineering Past Paper-18

     Determine the impedance of a series RL circuit (driven by an AC source) with and inductive reactance .

     A

     B

     C

     D

     Reveal answer
150. 150

     NUST Engineering Past Paper-18

     Inside a uniformly dense solid sphere of radius , how does the magnitude of the gravitational field at radial distance () depend on ?

     A

     (increases linearly)

     B

     C

     Constant

     D

     Reveal answer
151. 151

     NUST Engineering Past Paper-18

     Identify the equivalent spring constant of TWO identical springs (each of stiffness ) connected in PARALLEL (both supporting the same load between common endpoints).

     A

     The sum of individual spring constants

     B

     Half the individual spring constant

     C

     The harmonic mean

     D

     Equal to one spring constant

     Reveal answer
152. 152

     NUST Engineering Past Paper-18

     Estimate the rest-mass energy of an electron, given the electron rest mass kg.

     A

     eV

     B

     MeV

     C

     keV

     D

     MeV

     Reveal answer
153. 153

     NUST Engineering Past Paper-18

     A glass convex lens that has focal length in air is now immersed in water of refractive index . What happens to its focal length?

     A

     Decreases (becomes more converging)

     B

     Increases (becomes less converging)

     C

     Remains the same

     D

     Becomes negative (diverging)

     Reveal answer
154. 154

     NUST Engineering Past Paper-18

     A proton (mass , charge ) and an alpha particle (mass , charge ) are each accelerated from rest through the same potential difference. Find the ratio of their de Broglie wavelengths.

     A

     B

     C

     D

     Reveal answer
155. 155

     NUST Engineering Past Paper-18

     Identify the output value of a logical AND gate when its two inputs are and .

     A

     B

     C

     D

     Indeterminate

     Reveal answer
156. 156

     NUST Engineering Past Paper-18

     An open organ pipe of length resonates in its FUNDAMENTAL mode. Determine the wavelength of the corresponding standing wave.

     A

     B

     C

     D

     Reveal answer
157. 157

     NUST Engineering Past Paper-18

     Determine the SI dimensional formula for the permittivity of free space .

     A

     B

     C

     D

     Reveal answer
158. 158

     NUST Engineering Past Paper-18

     Determine where the image of an object placed exactly at the focal point of a concave mirror is formed.

     A

     Behind the mirror

     B

     Infinity

     C

     At the mirror surface

     D

     The center of curvature

     Reveal answer
159. 159

     NUST Engineering Past Paper-18

     A stretched string of length cm has fundamental frequency Hz. If the vibrating length is reduced to cm with the tension (and linear mass density) unchanged, determine the new fundamental frequency.

     A

     Hz

     B

     Hz

     C

     Hz

     D

     Hz

     Reveal answer
160. 160

     NUST Engineering Past Paper-18

     Pick the option that best defines 'Autopsy':

     A

     A medical surgery on a living patient

     B

     A biological experiment

     C

     A post-mortem examination to determine cause of death

     D

     A psychological evaluation

     Reveal answer
161. 161

     NUST Engineering Past Paper-18

     Pick the option that best captures the meaning of 'Frugal':

     A

     Economical in use of resources

     B

     Generous to a fault

     C

     Careless about money

     D

     Spendthrift and wasteful

     Reveal answer
162. 162

     NUST Engineering Past Paper-18

     Choose the word most nearly OPPOSITE in meaning to 'amoral':

     A

     Immoral

     B

     Wicked

     C

     Indifferent

     D

     Ethical

     Reveal answer
163. 163

     NUST Engineering Past Paper-18

     Which of the following is the correct spelling of the noun meaning 'a flood or overwhelming influx'?

     A

     Enoundment

     B

     Inundment

     C

     Innoundment

     D

     Innuondment

     Reveal answer
164. 164

     NUST Engineering Past Paper-18

     Pick the option that best defines 'Belittle':

     A

     To make someone feel small or unimportant

     B

     To encourage someone through difficulties

     C

     To praise someone enthusiastically

     D

     To explain something in simple terms

     Reveal answer
165. 165

     NUST Engineering Past Paper-18

     Pick the option that best defines 'Boorish':

     A

     Sophisticated and well-mannered

     B

     Shy and withdrawn

     C

     Rough and bad-mannered; uncultured

     D

     Extremely intelligent and academic

     Reveal answer
166. 166

     NUST Engineering Past Paper-18

     Pick the option that best defines 'Cacophony':

     A

     A harmonious blend of sounds

     B

     A harsh, discordant mixture of sounds

     C

     A single melodious note

     D

     Complete silence

     Reveal answer
167. 167

     NUST Engineering Past Paper-18

     Pick the word closest in meaning to 'Deliberate' (intentional):

     A

     Premeditated

     B

     Accidental

     C

     Unintentional

     D

     Impulsive

     Reveal answer
168. 168

     NUST Engineering Past Paper-18

     Pick the word most nearly OPPOSITE in meaning to 'Foible':

     A

     Flaw

     B

     Virtue

     C

     Weakness

     D

     Eccentricity

     Reveal answer
169. 169

     NUST Engineering Past Paper-18

     Pick the word most nearly OPPOSITE in meaning to 'Hostile':

     A

     Amicable

     B

     Belligerent

     C

     Aggressive

     D

     Combative

     Reveal answer
170. 170

     NUST Engineering Past Paper-18

     Pick the option that best defines 'Indomitable':

     A

     Overly dependent on others

     B

     Mild-mannered and quiet

     C

     Impossible to subdue or defeat

     D

     Easily discouraged or defeated

     Reveal answer
171. 171

     NUST Engineering Past Paper-18

     Pick the word most nearly OPPOSITE in meaning to 'Temerity':

     A

     Timidity

     B

     Boldness

     C

     Brazenness

     D

     Nerve

     Reveal answer
172. 172

     NUST Engineering Past Paper-18

     Pick the phrase closest in meaning to 'Spartan living':

     A

     Lavish lifestyle

     B

     Austere lifestyle

     C

     Opulent existence

     D

     Extravagant living

     Reveal answer
173. 173

     NUST Engineering Past Paper-18

     Pick the phrase most nearly OPPOSITE in meaning to 'Enroute':

     A

     Traveling

     B

     Arrived

     C

     Departing

     D

     In transit

     Reveal answer
174. 174

     NUST Engineering Past Paper-18

     Pick the term most nearly OPPOSITE in meaning to 'Pedestrians':

     A

     Joggers

     B

     Strollers

     C

     Hikers

     D

     Motorists

     Reveal answer
175. 175

     NUST Engineering Past Paper-18

     Pick the word most nearly OPPOSITE in meaning to 'Fear':

     A

     Anxiety

     B

     Dread

     C

     Courage

     D

     Terror

     Reveal answer
176. 176

     NUST Engineering Past Paper-18

     Complete the analogy: Traffic is to Road as ___ is to ___.

     A

     Airplane : Aerodrome

     B

     Roots : Trees

     C

     Blood : Veins

     D

     Car : Garage

     Reveal answer
177. 177

     NUST Engineering Past Paper-18

     Pick the antonym of the noun SLUR (in the sense of a disparaging remark).

     A

     Praise

     B

     Sarcasm

     C

     Outrage

     D

     Knock

     Reveal answer
178. 178

     NUST Engineering Past Paper-18

     Pick the correctly spelled noun denoting the money or property a bride brings to her marriage.

     A

     Dourey

     B

     Dowry

     C

     Dowrey

     D

     Doury

     Reveal answer
179. 179

     NUST Engineering Past Paper-18

     Pick the antonym of the adjective BOASTFUL.

     A

     Arrogant

     B

     None

     C

     Modest

     D

     Proud

     Reveal answer
180. 180

     NUST Engineering Past Paper-18

     Pick the synonym of the noun ALACRITY.

     A

     Tediousness

     B

     Indolence

     C

     Vigor

     D

     Apathy

     Reveal answer
181. 181

     NUST Engineering Past Paper-18

     Pick the option that best defines the noun XENOPHOBIA.

     A

     Fear of foreigners

     B

     Cultural appreciation

     C

     Acceptance of others

     D

     Love of foreigners

     Reveal answer
182. 182

     NUST Engineering Past Paper-18

     Pick the option that best captures the meaning of the noun ZENITH.

     A

     Middle

     B

     Beginning

     C

     Highest point

     D

     Lowest point

     Reveal answer
183. 183

     NUST Engineering Past Paper-18

     Pick the option that best captures the meaning of the adjective GULLIBLE.

     A

     Doubtful

     B

     Skeptical

     C

     Suspicious

     D

     Easily fooled

     Reveal answer
184. 184

     NUST Engineering Past Paper-18

     Pick the option that best captures the meaning of the verb ABATE.

     A

     Strengthen

     B

     Increase

     C

     Intensify

     D

     Decrease

     Reveal answer
185. 185

     NUST Engineering Past Paper-18

     Pick the option that best captures the meaning of the adjective COGENT.

     A

     Doubtful

     B

     Compelling

     C

     Weak

     D

     Unconvincing

     Reveal answer
186. 186

     NUST Engineering Past Paper-18

     Pick the option that best captures the meaning of the adjective QUIXOTIC.

     A

     Practical

     B

     Idealistic

     C

     Sensible

     D

     Realistic

     Reveal answer
187. 187

     NUST Engineering Past Paper-18

     Pick the option that best captures the meaning of the verb VACILLATE.

     A

     Be certain

     B

     Commit

     C

     Decide firmly

     D

     Waver

     Reveal answer
188. 188

     NUST Engineering Past Paper-18

     Pick the option that best captures the meaning of the noun EUPHEMISM.

     A

     Harsh language

     B

     Crude words

     C

     Direct speech

     D

     Mild expression

     Reveal answer
189. 189

     NUST Engineering Past Paper-18

     Pick the option that best captures the meaning of the verb MITIGATE.

     A

     Intensify

     B

     Worsen

     C

     Aggravate

     D

     Lessen

     Reveal answer
190. 190

     NUST Engineering Past Paper-18

     Pick the option that best captures the meaning of the adjective SCRUPULOUS.

     A

     Negligent

     B

     Sloppy

     C

     Careful

     D

     Careless

     Reveal answer
191. 191

     NUST Engineering Past Paper-18

     Pick the option that best captures the meaning of the noun DUPLICITY.

     A

     Honesty

     B

     Truthfulness

     C

     Deception

     D

     Sincerity

     Reveal answer
192. 192

     NUST Engineering Past Paper-18

     Pick the option that best captures the meaning of the adjective BUCOLIC.

     A

     Rural

     B

     Urban

     C

     Metropolitan

     D

     Industrial

     Reveal answer
193. 193

     NUST Engineering Past Paper-18

     Pick the option that best captures the meaning of the adjective HACKNEYED.

     A

     Overused

     B

     Original

     C

     Creative

     D

     Fresh

     Reveal answer
194. 194

     NUST Engineering Past Paper-18

     Pick the option that best captures the meaning of the verb AMELIORATE.

     A

     Worsen

     B

     Damage

     C

     Destroy

     D

     Improve

     Reveal answer
195. 195

     NUST Engineering Past Paper-18

     Pick the option that best captures the meaning of the adjective RUDIMENTARY.

     A

     Advanced

     B

     Sophisticated

     C

     Basic

     D

     Complex

     Reveal answer
196. 196

     NUST Engineering Past Paper-18

     Pick the option that best captures the meaning of the noun PAUCITY.

     A

     Scarcity

     B

     Excess

     C

     Plenty

     D

     Abundance

     Reveal answer
197. 197

     NUST Engineering Past Paper-18

     Pick the option that best captures the meaning of the adjective URBANE.

     A

     Rough

     B

     Sophisticated

     C

     Rural

     D

     Crude

     Reveal answer
198. 198

     NUST Engineering Past Paper-18

     Pick the option that best captures the meaning of the adjective JUDICIOUS.

     A

     Reckless

     B

     Foolish

     C

     Careless

     D

     Wise

     Reveal answer