NUST Engineering Past Paper-16

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

1. 1

   NUST Engineering Past Paper-16

   The distance covered by a body is given by . Find its acceleration.

   A

   500

   B

   C

   250

   D

   Reveal answer
2. 2

   NUST Engineering Past Paper-16

   Solve the equation .

   A

   B

   C

   D

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3. 3

   NUST Engineering Past Paper-16

   Find the value of among the following.

   A

   B

   C

   D

   Both A and C

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4. 4

   NUST Engineering Past Paper-16

   Find the sum to infinity of the alternating series (positive geometric series with ratio minus an identical copy).

   A

   0

   B

   C

   D

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5. 5

   NUST Engineering Past Paper-16

   About which of the following is the ellipse symmetric?

   A

   Both the x-axis and y-axis (and the origin)

   B

   Only the x-axis

   C

   Only the origin

   D

   Only the y-axis

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6. 6

   NUST Engineering Past Paper-16

   If , compute at .

   A

   B

   1

   C

   0

   D

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7. 7

   NUST Engineering Past Paper-16

   If and , compute .

   A

   100

   B

   50

   C

   200

   D

   None of these

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8. 8

   NUST Engineering Past Paper-16

   Evaluate .

   A

   B

   C

   D

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9. 9

   NUST Engineering Past Paper-16

   If are the direction cosines of a line in 3D, what is the value of ?

   A

   2

   B

   None of these

   C

   1

   D

   0

   Reveal answer
10. 10

    NUST Engineering Past Paper-16

    The angle between and is , with and . Compute the magnitude of .

    A

    B

    40

    C

    20

    D

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11. 11

    NUST Engineering Past Paper-16

    Evaluate , where and .

    A

    B

    C

    D

    None of these

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12. 12

    NUST Engineering Past Paper-16

    Evaluate .

    A

    16

    B

    8

    C

    32

    D

    None of these

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13. 13

    NUST Engineering Past Paper-16

    What is the range of values of eccentricity for a hyperbola?

    A

    B

    C

    None of these

    D

    0.167

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14. 14

    NUST Engineering Past Paper-16

    Which expression is the correct triple-angle identity for ?

    A

    B

    None of these

    C

    -

    D

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15. 15

    NUST Engineering Past Paper-16

    Evaluate the scalar triple product .

    A

    1

    B

    0

    C

    D

    None of these

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16. 16

    NUST Engineering Past Paper-16

    Compute .

    A

    64

    B

    C

    D

    None of these

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17. 17

    NUST Engineering Past Paper-16

    If , find .

    A

    1

    B

    5

    C

    D

    None of these

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18. 18

    NUST Engineering Past Paper-16

    Evaluate .

    A

    B

    C

    D

    None of these

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19. 19

    NUST Engineering Past Paper-16

    If the first term of an infinite geometric series is and the common ratio is , find its sum to infinity.

    A

    48

    B

    16

    C

    36

    D

    None of these

    Reveal answer
20. 20

    NUST Engineering Past Paper-16

    Let . For what choice of from the listed options is singular?

    A

    None of these

    B

    (3, 2)

    C

    (2, 1)

    D

    (1, 3)

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21. 21

    NUST Engineering Past Paper-16

    If and lies in the second quadrant, find .

    A

    B

    C

    D

    None of these

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22. 22

    NUST Engineering Past Paper-16

    Solve for .

    A

    B

    C

    D

    None of these

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23. 23

    NUST Engineering Past Paper-16

    If divides with a remainder of , find .

    A

    B

    C

    D

    None of these

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24. 24

    NUST Engineering Past Paper-16

    If a fair cricket match is played between Pakistan and Australia, what is the probability that Pakistan wins?

    A

    50%

    B

    25%

    C

    75%

    D

    None of these

    Reveal answer
25. 25

    NUST Engineering Past Paper-16

    If , find .

    A

    0

    B

    1

    C

    3

    D

    None of these

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26. 26

    NUST Engineering Past Paper-16

    Under which of the following operations is the set of natural numbers NOT closed?

    A

    Multiplication

    B

    None of these

    C

    Addition

    D

    Division

    Reveal answer
27. 27

    NUST Engineering Past Paper-16

    Find the relationship that the constant must satisfy for to be tangent to the circle .

    A

    B

    None of these

    C

    D

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28. 28

    NUST Engineering Past Paper-16

    In a circle, two chords are at equal perpendicular distance from the centre. What can you conclude about these chords?

    A

    Concurrent

    B

    None of these

    C

    Similar

    D

    Congruent

    Reveal answer
29. 29

    NUST Engineering Past Paper-16

    Let and . Classify the relation .

    A

    from

    B

    None of these

    C

    Not a function from

    D

    A function from

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30. 30

    NUST Engineering Past Paper-16

    A region of a circular disc bounded by two radii and the included arc is called a:

    A

    None of these

    B

    Arc

    C

    Sector

    D

    Chord

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31. 31

    NUST Engineering Past Paper-16

    Find the vertex of the parabola given by .

    A

    B

    C

    D

    None of these

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32. 32

    NUST Engineering Past Paper-16

    Write the equation of the tangent (in slope form) to the parabola .

    A

    B

    C

    D

    None of these

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33. 33

    NUST Engineering Past Paper-16

    Simplify .

    A

    B

    C

    None of these

    D

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34. 34

    NUST Engineering Past Paper-16

    An arc of length cm subtends a central angle of at the centre of a circle. Find the radius .

    A

    ≈ 38.2 cm

    B

    ≈ 18.0 cm

    C

    ≈ 20 cm

    D

    None of these

    Reveal answer
35. 35

    NUST Engineering Past Paper-16

    What is the geometric relationship between the pair of straight lines represented by ?

    A

    None of these

    B

    Perpendicular

    C

    Coincident

    D

    Parallel

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36. 36

    NUST Engineering Past Paper-16

    Which of the following identities is always true for vectors , , in any vector space?

    A

    B

    None of these

    C

    D

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37. 37

    NUST Engineering Past Paper-16

    Let . Find .

    A

    3

    B

    C

    D

    None of these

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38. 38

    NUST Engineering Past Paper-16

    Simplify .

    A

    B

    C

    D

    None of these

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39. 39

    NUST Engineering Past Paper-16

    If , find .

    A

    B

    10

    C

    D

    None of these

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40. 40

    NUST Engineering Past Paper-16

    Find the points of intersection of the curves and .

    A

    and

    B

    only

    C

    only

    D

    None of these

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41. 41

    NUST Engineering Past Paper-16

    Find the focus of the parabola .

    A

    B

    C

    D

    None of these

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42. 42

    NUST Engineering Past Paper-16

    Two lines have slopes and . Find the acute angle between them.

    A

    B

    C

    D

    None of these

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43. 43

    NUST Engineering Past Paper-16

    What is the equation of the straight line parallel to the -axis and located units below it?

    A

    B

    C

    D

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44. 44

    NUST Engineering Past Paper-16

    Which of the following is the correct relation between and ?

    A

    B

    None of these

    C

    D

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45. 45

    NUST Engineering Past Paper-16

    Find the eccentricity of the ellipse .

    A

    B

    C

    D

    None of these

    Reveal answer
46. 46

    NUST Engineering Past Paper-16

    Evaluate .

    A

    B

    C

    D

    None of these

    Reveal answer
47. 47

    NUST Engineering Past Paper-16

    Compute .

    A

    B

    1

    C

    0

    D

    None of these

    Reveal answer
48. 48

    NUST Engineering Past Paper-16

    Classify the constant function as even, odd, both, or neither.

    A

    Even

    B

    Neither

    C

    Odd

    D

    Both

    Reveal answer
49. 49

    NUST Engineering Past Paper-16

    On the interval , classify the monotonic behaviour of .

    A

    Decreasing in Given Domain

    B

    None of these

    C

    Increasing in Given Domain

    D

    Neither

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50. 50

    NUST Engineering Past Paper-16

    If , , are the angles of a triangle, simplify .

    A

    Both

    B

    C

    D

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51. 51

    NUST Engineering Past Paper-16

    An m tall flagpole casts a shadow of length m on level ground. Find the angle of elevation of the sun.

    A

    B

    C

    D

    Reveal answer
52. 52

    NUST Engineering Past Paper-16

    The points , , and are collinear. Which of the following choices for is consistent with this?

    A

    Both A/B

    B

    C

    D

    None of these

    Reveal answer
53. 53

    NUST Engineering Past Paper-16

    Differentiate with respect to .

    A

    B

    C

    D

    None of these

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54. 54

    NUST Engineering Past Paper-16

    Classify the linear system and as having a unique, no, or infinitely many solutions.

    A

    None of these

    B

    Infinite Solutions

    C

    Unique Solution

    D

    No Solution

    Reveal answer
55. 55

    NUST Engineering Past Paper-16

    Find the range of the function on its natural domain.

    A

    B

    C

    D

    None of these

    Reveal answer
56. 56

    NUST Engineering Past Paper-16

    Find the period of .

    A

    B

    C

    D

    Reveal answer
57. 57

    NUST Engineering Past Paper-16

    Which of the following expressions correctly give the area of a triangle with sides , , and opposite angles , , ?

    A

    All of the above

    B

    C

    ... (law of sines form)

    D

    Reveal answer
58. 58

    NUST Engineering Past Paper-16

    What type of angle is each exterior angle at the base of an isosceles triangle whose base angles are acute?

    A

    Reflexive

    B

    Obtuse

    C

    Acute

    D

    None of these

    Reveal answer
59. 59

    NUST Engineering Past Paper-16

    Find the coefficient of the middle term in the expansion of .

    A

    20

    B

    15

    C

    70

    D

    None of these

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60. 60

    NUST Engineering Past Paper-16

    Simplify .

    A

    B

    C

    D

    None of these

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61. 61

    NUST Engineering Past Paper-16

    Let and . For what value of are and anti-parallel?

    A

    B

    6

    C

    D

    3

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62. 62

    NUST Engineering Past Paper-16

    A triangle has vertices , , and . If the right angle is at , find .

    A

    7

    B

    4

    C

    10

    D

    None of these

    Reveal answer
63. 63

    NUST Engineering Past Paper-16

    Write the equation of the parabola whose vertex is at the origin and whose focus is at (with ).

    A

    None of these

    B

    C

    D

    Reveal answer
64. 64

    NUST Engineering Past Paper-16

    How many four-digit numbers can be formed from the digits if no digit can be repeated?

    A

    120

    B

    24

    C

    60

    D

    None of these

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65. 65

    NUST Engineering Past Paper-16

    Find the centre of the circle .

    A

    B

    C

    D

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66. 66

    NUST Engineering Past Paper-16

    Compute .

    A

    8

    B

    16

    C

    D

    None of these

    Reveal answer
67. 67

    NUST Engineering Past Paper-16

    Identify the conic represented by the equation .

    A

    Parabola

    B

    None of these

    C

    Circle

    D

    Hyperbola

    Reveal answer
68. 68

    NUST Engineering Past Paper-16

    Find the period of .

    A

    B

    C

    D

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69. 69

    NUST Engineering Past Paper-16

    On which interval is the natural logarithm a strictly increasing function?

    A

    B

    C

    None of these

    D

    Both (all real numbers)

    Reveal answer
70. 70

    NUST Engineering Past Paper-16

    For , find the value of .

    A

    B

    C

    D

    None of these

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71. 71

    NUST Engineering Past Paper-16

    What type of curve does the equation (with ) represent?

    A

    None of these

    B

    Point hole

    C

    Elliptical Curve

    D

    Rectangular Hyperbola

    Reveal answer
72. 72

    NUST Engineering Past Paper-16

    Given a square matrix , what type of matrix is ?

    A

    Hermitian

    B

    None of these

    C

    Symmetric

    D

    Skew Symmetric

    Reveal answer
73. 73

    NUST Engineering Past Paper-16

    Decompose into partial fractions. Find and .

    A

    B

    C

    D

    None of these

    Reveal answer
74. 74

    NUST Engineering Past Paper-16

    An arithmetic progression has first term and tenth term . Find .

    A

    9

    B

    8

    C

    6

    D

    None of these

    Reveal answer
75. 75

    NUST Engineering Past Paper-16

    Find the argument (principal value) of .

    A

    B

    C

    D

    Reveal answer
76. 76

    NUST Engineering Past Paper-16

    Evaluate the sum .

    A

    0

    B

    C

    D

    None of these

    Reveal answer
77. 77

    NUST Engineering Past Paper-16

    Which of the following matrix operations implicitly require to be a square matrix?

    A

    None of these

    B

    Both

    C

    D

    Reveal answer
78. 78

    NUST Engineering Past Paper-16

    A triangle has sides of length . Find its largest interior angle.

    A

    B

    C

    D

    None of these

    Reveal answer
79. 79

    NUST Engineering Past Paper-16

    Find .

    A

    B

    C

    D

    None of these

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80. 80

    NUST Engineering Past Paper-16

    Find the sum of all binomial coefficients in the expansion of .

    A

    1

    B

    0

    C

    256

    D

    None of these

    Reveal answer
81. 81

    NUST Engineering Past Paper-16

    In the word 'KARACHI', K is fixed in the first position and I is fixed in the last position. How many arrangements of the remaining letters are possible?

    A

    60

    B

    120

    C

    5!

    D

    None of these

    Reveal answer
82. 82

    NUST Engineering Past Paper-16

    Classify the sequence as an A.P., G.P., or H.P.

    A

    H.P.

    B

    A.P.

    C

    None of these

    D

    G.P.

    Reveal answer
83. 83

    NUST Engineering Past Paper-16

    If an inscribed angle in a circle is subtended by a chord that is *not* a diameter, what can be said about that angle's type?

    A

    None of these

    B

    Right

    C

    Obtuse

    D

    Acute

    Reveal answer
84. 84

    NUST Engineering Past Paper-16

    Using De Morgan's law, simplify .

    A

    None of these

    B

    C

    D

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85. 85

    NUST Engineering Past Paper-16

    If and , find .

    A

    None of these

    B

    C

    D

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86. 86

    NUST Engineering Past Paper-16

    Given , for which pair from the listed options does become singular?

    A

    (1, 2)

    B

    (2, 1)

    C

    (0, 0)

    D

    None of these

    Reveal answer
87. 87

    NUST Engineering Past Paper-16

    Find for which the matrix is singular.

    A

    1

    B

    3

    C

    D

    None of these

    Reveal answer
88. 88

    NUST Engineering Past Paper-16

    Evaluate .

    A

    B

    C

    Zero

    D

    None of these

    Reveal answer
89. 89

    NUST Engineering Past Paper-16

    Determine the equation of the tangent line to the circle at the point .

    A

    None

    B

    C

    D

    Reveal answer
90. 90

    NUST Engineering Past Paper-16

    Identify which of the following functions is even for all real .

    A

    B

    C

    D

    Reveal answer
91. 91

    NUST Engineering Past Paper-16

    Vector runs from to . A second vector parallel and equal in magnitude/direction has its terminal point at . Determine the initial point of this second vector, expressed in position-vector form.

    A

    B

    C

    D

    Reveal answer
92. 92

    NUST Engineering Past Paper-16

    Determine .

    A

    B

    C

    D

    Reveal answer
93. 93

    NUST Engineering Past Paper-16

    Determine the antiderivative of .

    A

    B

    C

    D

    Reveal answer
94. 94

    NUST Engineering Past Paper-16 NUST Engineering Past Paper-2

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

    A

    Alleviate

    B

    Aggravate

    C

    Reduce

    D

    Calm

    Reveal answer
95. 95

    NUST Engineering Past Paper-16

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

    A

    Naturally built-in or inherent

    B

    Coming from outside; not essential

    C

    Deep and meaningful

    D

    Rare and extraordinary

    Reveal answer
96. 96

    NUST Engineering Past Paper-16

    Pick the option that best defines 'Abrogated':

    A

    Formally repealed or abolished

    B

    Formally approved or enacted

    C

    Temporarily suspended

    D

    Secretly enforced

    Reveal answer
97. 97

    NUST Engineering Past Paper-16

    Pick the word closest in meaning to 'Abundant':

    A

    Rare

    B

    Meager

    C

    Plentiful

    D

    Scarce

    Reveal answer
98. 98

    NUST Engineering Past Paper-16

    Pick the option that best defines 'Adroit':

    A

    Honest and straightforward

    B

    Clumsy and unskilled

    C

    Loud and boisterous

    D

    Clever or skillful in using hands or mind

    Reveal answer
99. 99

    NUST Engineering Past Paper-16

    Pick the word closest in meaning to 'Antagonism':

    A

    Goodwill

    B

    Harmony

    C

    Hostility

    D

    Friendship

    Reveal answer
100. 100

     NUST Engineering Past Paper-16

     Pick the word closest in meaning to 'Efface':

     A

     Emphasize

     B

     Accentuate

     C

     Highlight

     D

     Obliterate

     Reveal answer
101. 101

     NUST Engineering Past Paper-16

     Pick the word closest in meaning to 'Evocative':

     A

     Suggestive

     B

     Neutral

     C

     Forgettable

     D

     Bland

     Reveal answer
102. 102

     NUST Engineering Past Paper-16

     Pick the word closest in meaning to 'Flair':

     A

     Incompetence

     B

     Clumsiness

     C

     Mediocrity

     D

     Aptitude

     Reveal answer
103. 103

     NUST Engineering Past Paper-16

     Pick the word closest in meaning to 'Marvel':

     A

     Failure

     B

     Disgrace

     C

     Disappointment

     D

     Wonder

     Reveal answer
104. 104

     NUST Engineering Past Paper-16

     Pick the word closest in meaning to 'Penurious':

     A

     Generous

     B

     Opulent

     C

     Affluent

     D

     Miserly

     Reveal answer
105. 105

     NUST Engineering Past Paper-16

     Pick the word closest in meaning to 'Venial':

     A

     Mortal

     B

     Grave

     C

     Unforgivable

     D

     Pardonable

     Reveal answer
106. 106

     NUST Engineering Past Paper-16

     Pick the option that best defines 'Scorching':

     A

     Pleasantly warm

     B

     Mildly uncomfortable

     C

     Extremely hot; burning

     D

     Freezing cold

     Reveal answer
107. 107

     NUST Engineering Past Paper-16

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

     A

     Grand

     B

     Magnificent

     C

     Striking

     D

     Mediocre

     Reveal answer
108. 108

     NUST Engineering Past Paper-16

     Pick the word most nearly OPPOSITE in meaning to 'Flare' (sudden burst):

     A

     Ignite

     B

     Subside

     C

     Flicker

     D

     Surge

     Reveal answer
109. 109

     NUST Engineering Past Paper-16

     Pick the verb that means 'to make a bad situation worse.'

     A

     Ameliorate

     B

     Exacerbate

     C

     Enhance

     D

     Improve

     Reveal answer
110. 110

     NUST Engineering Past Paper-16

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

     A

     Antisocial

     B

     Withdrawn

     C

     Solitary

     D

     Sociable

     Reveal answer
111. 111

     NUST Engineering Past Paper-16

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

     A

     Illiterate

     B

     Ignorant

     C

     Uneducated

     D

     Scholarly

     Reveal answer
112. 112

     NUST Engineering Past Paper-16

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

     A

     Aggressive

     B

     Peaceful

     C

     Calm

     D

     Gentle

     Reveal answer
113. 113

     NUST Engineering Past Paper-16

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

     A

     Simple

     B

     Showy

     C

     Humble

     D

     Modest

     Reveal answer
114. 114

     NUST Engineering Past Paper-16

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

     A

     Happy

     B

     Joyful

     C

     Cheerful

     D

     Gloomy

     Reveal answer
115. 115

     NUST Engineering Past Paper-16

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

     A

     Beneficial

     B

     Harmless

     C

     Obvious

     D

     Treacherous

     Reveal answer
116. 116

     NUST Engineering Past Paper-16

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

     A

     Generous

     B

     Lavish

     C

     Stingy

     D

     Wasteful

     Reveal answer
117. 117

     NUST Engineering Past Paper-16

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

     A

     Dangerous

     B

     Detrimental

     C

     Harmful

     D

     Beneficial

     Reveal answer
118. 118

     NUST Engineering Past Paper-16

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

     A

     Peaceful

     B

     Quiet

     C

     Gentle

     D

     Loud and harsh

     Reveal answer
119. 119

     NUST Engineering Past Paper-16

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

     A

     Confidence

     B

     Boldness

     C

     Courage

     D

     Fear

     Reveal answer
120. 120

     NUST Engineering Past Paper-16

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

     A

     Careless

     B

     Overly concerned with details

     C

     Casual

     D

     Informal

     Reveal answer
121. 121

     NUST Engineering Past Paper-16

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

     A

     Intentional

     B

     Accidental

     C

     Planned

     D

     Deliberate

     Reveal answer
122. 122

     NUST Engineering Past Paper-16

     Pick the synonym of the adjective ZEALOUS.

     A

     Arduous

     B

     Objective

     C

     Impassive

     D

     Ardent

     Reveal answer
123. 123

     NUST Engineering Past Paper-16

     Pick the synonym of the adjective BALEFUL.

     A

     Encouraging

     B

     Benign

     C

     Bombastic

     D

     Malignant

     Reveal answer
124. 124

     NUST Engineering Past Paper-16

     Pick the synonym of the adjective NONCHALANT.

     A

     Listless

     B

     Calm and casual

     C

     Recipient

     D

     Apprehensive

     Reveal answer
125. 125

     NUST Engineering Past Paper-16

     Pick the synonym of the verb ASSAIL.

     A

     Estimate

     B

     Scale

     C

     Indict

     D

     Attack

     Reveal answer
126. 126

     NUST Engineering Past Paper-16

     Pick the antonym of the noun NADIR.

     A

     Zenith

     B

     Depth

     C

     Pit

     D

     Abyss

     Reveal answer
127. 127

     NUST Engineering Past Paper-16

     Pick the correctly spelled noun (British English) denoting ornamental items worn for adornment.

     A

     Jewelry

     B

     Jewellry

     C

     Jewellery

     D

     Jewelery

     Reveal answer
128. 128

     NUST Engineering Past Paper-16

     Pick the synonym of the noun BONANZA.

     A

     Blessing

     B

     Dessert

     C

     Fish fry

     D

     Windfall

     Reveal answer
129. 129

     NUST Engineering Past Paper-16 NUST Engineering Past Paper-9

     Pick the antonym of the noun PAUCITY.

     A

     Shortage

     B

     Need

     C

     Lack

     D

     Sufficiency

     Reveal answer
130. 130

     NUST Engineering Past Paper-16

     Pick the synonym of the adjective COMELY.

     A

     Peaceful

     B

     Modest

     C

     Fun loving

     D

     Attractive

     Reveal answer
131. 131

     NUST Engineering Past Paper-16

     Pick the synonym of the noun CITADEL.

     A

     Mountain

     B

     Conduit

     C

     Palace

     D

     Fortress

     Reveal answer
132. 132

     NUST Engineering Past Paper-16

     Pick the antonym of the verb ELICIT.

     A

     None

     B

     Overlook

     C

     Educe

     D

     Uncover

     Reveal answer
133. 133

     NUST Engineering Past Paper-16

     Pick the synonym of the verb REPATRIATE.

     A

     Return home

     B

     Brainwash

     C

     Colonize

     D

     Repay

     Reveal answer
134. 134

     NUST Engineering Past Paper-16

     Pick the antonym of the adjective BOORISH.

     A

     Uncouth

     B

     Refined or Courteous

     C

     Rude

     D

     Aggressive

     Reveal answer
135. 135

     NUST Engineering Past Paper-16

     Count the number of significant figures in the value .

     A

     4

     B

     3

     C

     2

     D

     5

     Reveal answer
136. 136

     NUST Engineering Past Paper-16

     A force acts on a body at an angle of to the direction of its displacement. Pick the correct expression for the work done.

     A

     B

     C

     D

     Reveal answer
137. 137

     NUST Engineering Past Paper-16

     In a hydrogen atom an electron transitions from the shell down to the shell. To which spectral series does the emitted photon belong?

     A

     Pfund series

     B

     Lyman series

     C

     Paschen series

     D

     Balmer series

     Reveal answer
138. 138

     NUST Engineering Past Paper-16

     In simple harmonic motion, what is the value of a particle's speed at the instant it reaches the amplitude (extreme position)?

     A

     B

     Maximum

     C

     Zero

     D

     Reveal answer
139. 139

     NUST Engineering Past Paper-16

     A typical bridge-configuration full-wave rectifier uses how many diodes?

     A

     4

     B

     2

     C

     1

     D

     3

     Reveal answer
140. 140

     NUST Engineering Past Paper-16

     Which of the following is equivalent to the SI unit of electric potential (the volt)?

     A

     J/C

     B

     C/J

     C

     N/C

     D

     JC

     Reveal answer
141. 141

     NUST Engineering Past Paper-16

     The radius of a sphere is measured with a relative error of . Find the percentage error in the calculated value of its volume.

     A

     12%

     B

     4%

     C

     8%

     D

     16%

     Reveal answer
142. 142

     NUST Engineering Past Paper-16

     If with and , find the angle between and .

     A

     B

     C

     D

     Reveal answer
143. 143

     NUST Engineering Past Paper-16

     Express kilonewton ( kN N) in dynes.

     A

     dyne

     B

     dyne

     C

     dyne

     D

     dyne

     Reveal answer
144. 144

     NUST Engineering Past Paper-16

     A stone is thrown horizontally from the edge of a cliff of height . Write the expression for the time it takes to reach the ground.

     A

     B

     C

     D

     Reveal answer
145. 145

     NUST Engineering Past Paper-16

     At which launch angle is the horizontal range of a projectile (on level ground) maximised?

     A

     B

     C

     D

     Reveal answer
146. 146

     NUST Engineering Past Paper-16

     Into how many independent components must a vector in three-dimensional space be resolved at a minimum?

     A

     3

     B

     2

     C

     1

     D

     Infinite

     Reveal answer
147. 147

     NUST Engineering Past Paper-16

     A crate is pushed with a constant force of N directed at above the horizontal, moving m along the floor. Find the work done by the applied force.

     A

     ≈ 346.4 J

     B

     200 J

     C

     400 J

     D

     0 J

     Reveal answer
148. 148

     NUST Engineering Past Paper-16

     In the wave relation , what is the dimensional formula of the wavelength ?

     A

     B

     C

     D

     Reveal answer
149. 149

     NUST Engineering Past Paper-16

     How does the viscosity of a liquid change as its temperature rises?

     A

     Increases

     B

     Remains constant

     C

     First increases then decreases

     D

     Decreases

     Reveal answer
150. 150

     NUST Engineering Past Paper-16

     A flywheel spinning at rpm is brought uniformly to rest in seconds. Find the magnitude of its angular deceleration.

     A

     rad s

     B

     rad s

     C

     rad s

     D

     rad s

     Reveal answer
151. 151

     NUST Engineering Past Paper-16

     A person standing on a bathroom scale inside an elevator notices that the scale reading is less than his actual weight. What is the elevator doing?

     A

     Moving upward at constant velocity

     B

     Accelerating downward

     C

     Accelerating upward

     D

     In free fall

     Reveal answer
152. 152

     NUST Engineering Past Paper-16

     In a horizontal pipe through which water flows, how does the pressure at a wider section compare with that at a narrower section?

     A

     Zero

     B

     Lower

     C

     Higher

     D

     Same

     Reveal answer
153. 153

     NUST Engineering Past Paper-16

     A square tank with a base of m m contains water to a depth of m. Find the pressure that the water exerts on the bottom of the tank. (Use kg/m and m/s.)

     A

     14700 Pa

     B

     9800 Pa

     C

     19600 Pa

     D

     4900 Pa

     Reveal answer
154. 154

     NUST Engineering Past Paper-16

     What is the force-balance condition that a small ball falling through a viscous fluid must satisfy when it reaches its terminal velocity?

     A

     Weight equals buoyancy plus drag force

     B

     Its weight equals buoyancy

     C

     Its acceleration becomes maximum

     D

     Drag force equals its weight

     Reveal answer
155. 155

     NUST Engineering Past Paper-16

     A spring-mass oscillator on Earth has period . If the spring constant is tripled and the mass is reduced to one-third, find the new period.

     A

     B

     C

     D

     Reveal answer
156. 156

     NUST Engineering Past Paper-16

     At which of the following locations is the time period of a simple pendulum the smallest?

     A

     At the center of earth

     B

     On the moon

     C

     At the poles

     D

     At the equator

     Reveal answer
157. 157

     NUST Engineering Past Paper-16

     Two sound waves carry intensities of W/m and W/m. Find the ratio of their amplitudes.

     A

     3:5

     B

     5:3

     C

     9:25

     D

     25:9

     Reveal answer
158. 158

     NUST Engineering Past Paper-16

     Find the fundamental frequency of a pipe closed at one end and cm long, taking the speed of sound to be m/s.

     A

     425 Hz

     B

     850 Hz

     C

     212.5 Hz

     D

     1700 Hz

     Reveal answer
159. 159

     NUST Engineering Past Paper-16

     A person walks straight toward a plane mirror at m/s. At what rate is the distance between him and his image decreasing?

     A

     8 m/s

     B

     4 m/s

     C

     2 m/s

     D

     16 m/s

     Reveal answer
160. 160

     NUST Engineering Past Paper-16

     Which wave phenomenon explains how light is observed to bend around the edge of an obstacle?

     A

     Diffraction

     B

     Polarization

     C

     Refraction

     D

     Reflection

     Reveal answer
161. 161

     NUST Engineering Past Paper-16

     If the wavelength of light used in Young's double-slit experiment is tripled (keeping slit separation and screen distance fixed), how is the fringe width affected?

     A

     Remains same

     B

     Becomes three times

     C

     Halves

     D

     Becomes four times

     Reveal answer
162. 162

     NUST Engineering Past Paper-16

     In Young's double-slit experiment, one slit is covered (blocked). What pattern is then observed on the screen?

     A

     A single slit diffraction pattern

     B

     Disappears completely

     C

     A single bright fringe

     D

     Fringes with double spacing

     Reveal answer
163. 163

     NUST Engineering Past Paper-16

     A thin convex lens of focal length cm is placed in contact with a thin concave lens of focal length cm. What is the equivalent behaviour of the combination?

     A

     Converging lens of focal length cm

     B

     Diverging lens of focal length cm

     C

     A plane glass (no power)

     D

     Converging lens of focal length cm

     Reveal answer
164. 164

     NUST Engineering Past Paper-16

     The average translational kinetic energy of an ideal gas molecule is directly proportional to which of the following?

     A

     Square root of temperature

     B

     Square of temperature

     C

     Inverse of temperature

     D

     Absolute temperature

     Reveal answer
165. 165

     NUST Engineering Past Paper-16

     At what temperature will the rms speed of nitrogen (, molar mass ) molecules equal the rms speed of helium (He, molar mass ) molecules at K?

     A

     2100 K

     B

     1500 K

     C

     300 K

     D

     4200 K

     Reveal answer
166. 166

     NUST Engineering Past Paper-16

     The rms speed of an ideal gas at temperature is . What is the rms speed at temperature ?

     A

     B

     C

     D

     Reveal answer
167. 167

     NUST Engineering Past Paper-16

     Two positive point charges and (with ) are fixed at separation . A third charge is placed between them so that it is in equilibrium. What must be true of this third charge?

     A

     Negative and closer to smaller charge

     B

     Positive and closer to larger charge

     C

     Positive and closer to smaller charge

     D

     Negative and at any position

     Reveal answer
168. 168

     NUST Engineering Past Paper-16

     What is the magnitude of the electric charge carried by a single proton?

     A

     C

     B

     C

     C

     C

     D

     C

     Reveal answer
169. 169

     NUST Engineering Past Paper-16

     A hollow metallic sphere carries some net positive charge. What is the electric field at a point inside the hollow region of the sphere?

     A

     Depends on radius

     B

     Zero

     C

     Same as outside

     D

     Maximum at center

     Reveal answer
170. 170

     NUST Engineering Past Paper-16

     If the current through a resistor is tripled (while the resistance stays the same), what happens to the power dissipated?

     A

     Nine times

     B

     Three times

     C

     Same

     D

     One-third

     Reveal answer
171. 171

     NUST Engineering Past Paper-16

     Four equal resistors of each are connected in parallel. Find the equivalent resistance.

     A

     B

     C

     D

     Reveal answer
172. 172

     NUST Engineering Past Paper-16

     In household electrical wiring, how is the fuse connected with respect to the appliances?

     A

     Parallel with appliances

     B

     Series with appliances

     C

     Both series and parallel

     D

     Neither series nor parallel

     Reveal answer
173. 173

     NUST Engineering Past Paper-16

     A charged particle enters a uniform magnetic field with its velocity directed perpendicular to the field. Describe the path the particle follows.

     A

     A helical path

     B

     A parabolic path

     C

     A circular path

     D

     A straight line

     Reveal answer
174. 174

     NUST Engineering Past Paper-16

     An electron and a proton enter a uniform magnetic field with the same speed perpendicular to the field. Find the ratio of their circular path radii.

     A

     B

     C

     D

     Reveal answer
175. 175

     NUST Engineering Past Paper-16

     Write the expression for the energy stored in a capacitor of capacitance holding a charge .

     A

     B

     C

     D

     Reveal answer
176. 176

     NUST Engineering Past Paper-16

     Write the expression for the magnetic field at perpendicular distance from a long straight wire carrying current .

     A

     B

     C

     D

     Reveal answer
177. 177

     NUST Engineering Past Paper-16

     What is the power factor of a purely inductive AC circuit?

     A

     B

     C

     D

     Reveal answer
178. 178

     NUST Engineering Past Paper-16

     State the relationship between stress and strain within the elastic limit, according to Hooke's law.

     A

     Inversely proportional to strain

     B

     Directly proportional to strain

     C

     Equal to strain

     D

     Independent of strain

     Reveal answer
179. 179

     NUST Engineering Past Paper-16

     All ferromagnetic substances lose their ferromagnetism and behave as paramagnets above which characteristic temperature?

     A

     Absolute zero

     B

     Melting point

     C

     Curie temperature

     D

     Boiling point

     Reveal answer
180. 180

     NUST Engineering Past Paper-16

     What is the phase relationship between current and applied voltage in a purely inductive AC circuit?

     A

     Leads the voltage by

     B

     Is in phase with voltage

     C

     Lags the voltage by

     D

     Lags the voltage by

     Reveal answer
181. 181

     NUST Engineering Past Paper-16

     At resonance, what is the impedance of a series RLC circuit?

     A

     Equal to

     B

     Maximum

     C

     Zero

     D

     Equal to

     Reveal answer
182. 182

     NUST Engineering Past Paper-16

     A non-inverting op-amp amplifier has and . Find its voltage gain.

     A

     10

     B

     9

     C

     11

     D

     Reveal answer
183. 183

     NUST Engineering Past Paper-16

     Which of the following physical quantities has the same dimensional formula as Young's modulus?

     A

     Momentum

     B

     Force

     C

     Pressure

     D

     Energy

     Reveal answer
184. 184

     NUST Engineering Past Paper-16

     According to the special theory of relativity, how does the relativistic mass of a moving object compare to its rest mass?

     A

     Equal

     B

     Greater

     C

     Zero

     D

     Less

     Reveal answer
185. 185

     NUST Engineering Past Paper-16

     When a P-N junction is reverse biased, what happens to the width of its depletion region?

     A

     Remains same

     B

     Narrows

     C

     Widens

     D

     Disappears completely

     Reveal answer
186. 186

     NUST Engineering Past Paper-16

     If an object's speed is tripled (from to ), by what factor does its kinetic energy change?

     A

     Nine times

     B

     Three times

     C

     Six times

     D

     Twenty-seven times

     Reveal answer
187. 187

     NUST Engineering Past Paper-16

     What happens to the stopping potential in the photoelectric effect if the wavelength of the incident light is increased (frequency decreased, but kept above threshold)?

     A

     Increases

     B

     Remains same

     C

     Decreases

     D

     Becomes zero

     Reveal answer
188. 188

     NUST Engineering Past Paper-16

     In Bohr's model of the hydrogen atom, how does the orbital energy scale with the principal quantum number ?

     A

     B

     C

     D

     Reveal answer
189. 189

     NUST Engineering Past Paper-16

     In an X-ray tube, on what variable does the minimum (cutoff) wavelength of the emitted X-rays depend?

     A

     Temperature of filament

     B

     Intensity of electron beam

     C

     Accelerating voltage

     D

     Material of target

     Reveal answer
190. 190

     NUST Engineering Past Paper-16

     The ground-state energy of the hydrogen atom is eV. What is the energy of the level?

     A

     eV

     B

     eV

     C

     eV

     D

     eV

     Reveal answer
191. 191

     NUST Engineering Past Paper-16

     An element has atomic number and mass number . How many neutrons are present in its nucleus?

     A

     18

     B

     17

     C

     35

     D

     52

     Reveal answer
192. 192

     NUST Engineering Past Paper-16

     Which particle is emitted from a radioactive nucleus during -decay?

     A

     An electron

     B

     A helium nucleus

     C

     A positron

     D

     A neutron

     Reveal answer
193. 193

     NUST Engineering Past Paper-16

     A radioactive element has a half-life of days. After days, what fraction of the original sample remains?

     A

     B

     C

     D

     Reveal answer
194. 194

     NUST Engineering Past Paper-16

     How does an ideal diode behave when it is reverse biased?

     A

     A capacitor

     B

     An open circuit

     C

     A resistor

     D

     A short circuit

     Reveal answer
195. 195

     NUST Engineering Past Paper-16

     In a (positron) decay, how does the atomic number of the daughter nucleus compare with that of the parent?

     A

     Remains same

     B

     Decreases by 2

     C

     Increases by 1

     D

     Decreases by 1

     Reveal answer
196. 196

     NUST Engineering Past Paper-16

     Write the de Broglie wavelength of a particle that has mass and momentum .

     A

     B

     C

     D

     Reveal answer
197. 197

     NUST Engineering Past Paper-16

     A metal has a work function of eV. Find the threshold frequency for photoelectric emission. (Use Js and eV J.)

     A

     Hz

     B

     Hz

     C

     Hz

     D

     Hz

     Reveal answer
198. 198

     NUST Engineering Past Paper-16

     At what speed does the relativistic mass of a moving object become three times its rest mass?

     A

     B

     C

     D

     Reveal answer
199. 199

     NUST Engineering Past Paper-16

     If both the mass and radius of a planet are reduced simultaneously to of their original values, determine the corresponding effect on the escape velocity from its surface.

     A

     Decreases by a factor of

     B

     Remains the same

     C

     Decreases 3 times

     D

     Increases 3 times

     Reveal answer
200. 200

     NUST Engineering Past Paper-16

     For a rigid body rotating about a fixed axis, determine the magnitude of the cross product (angular velocity crossed with angular acceleration).

     A

     B

     C

     D

     None

     Reveal answer