NUST Engineering Past Paper-1

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

1. 1

   NUST Engineering Past Paper-1

   If and , what kind of function is ?

   A

   Onto function

   B

   Bijective function

   C

   Into function

   D

   Not a function

   Reveal answer
2. 2

   NUST Engineering Past Paper-1

   Find a valid pair of parametric equations for the ellipse .

   A

   B

   C

   D

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3. 3

   NUST Engineering Past Paper-1

   From a standard deck of 52 cards, one card is drawn at random. What is the probability that the card is either a face card or a red card?

   A

   B

   C

   D

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4. 4

   NUST Engineering Past Paper-1

   The vertices of a right-angled triangle are , , and , with the right angle at . Which condition characterises the valid values of and ?

   A

   B

   and can be any real numbers satisfying

   C

   D

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5. 5

   NUST Engineering Past Paper-1

   If satisfies for every , what can we say about and its derivative ?

   A

   is even

   B

   is odd

   C

   A/C

   D

   is odd

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6. 6

   NUST Engineering Past Paper-1

   Complete the analogy: 'Null matrix : Zero :: Singular matrix : ___'.

   A

   Non-invertible

   B

   Identity

   C

   Symmetric

   D

   Diagonal

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7. 7

   NUST Engineering Past Paper-1

   Compute the sum of the first positive integers.

   A

   B

   C

   D

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8. 8

   NUST Engineering Past Paper-1

   Determine the fundamental period of the function .

   A

   B

   C

   D

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9. 9

   NUST Engineering Past Paper-1

   Evaluate the integral .

   A

   B

   C

   D

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10. 10

    NUST Engineering Past Paper-1

    Two fair dice are rolled at the same time. Determine the probability that the sum of the numbers shown is a multiple of .

    A

    B

    C

    D

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11. 11

    NUST Engineering Past Paper-1

    Identify the smallest positive integer in the list for which the inequality first holds.

    A

    B

    C

    D

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12. 12

    NUST Engineering Past Paper-1

    Determine the area of a parallelogram whose adjacent sides are the vectors and .

    A

    B

    C

    D

    None of these

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13. 13

    NUST Engineering Past Paper-1

    For positive reals with , classify the expression .

    A

    B

    None of these

    C

    D

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14. 14

    NUST Engineering Past Paper-1

    Given a parabola with focus and vertex , identify its standard-form equation.

    A

    B

    C

    D

    None

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15. 15

    NUST Engineering Past Paper-1

    Compute .

    A

    B

    C

    D

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16. 16

    NUST Engineering Past Paper-1

    Evaluate .

    A

    B

    C

    D

    Undefined

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17. 17

    NUST Engineering Past Paper-1

    From an external point, how many tangent lines can be drawn to a given circle?

    A

    B

    C

    None

    D

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18. 18

    NUST Engineering Past Paper-1

    For the right triangle with sides , determine the exradius opposite the side of length .

    A

    B

    C

    None

    D

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19. 19

    NUST Engineering Past Paper-1

    Compute .

    A

    B

    C

    D

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20. 20

    NUST Engineering Past Paper-1

    Given and with , determine .

    A

    B

    C

    D

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21. 21

    NUST Engineering Past Paper-1

    Determine the remainder when is divided by .

    A

    B

    C

    D

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22. 22

    NUST Engineering Past Paper-1

    Evaluate .

    A

    B

    C

    D

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23. 23

    NUST Engineering Past Paper-1

    Find the orthocentre of the triangle with vertices , , .

    A

    B

    C

    D

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24. 24

    NUST Engineering Past Paper-1

    The triangle with vertices , , has area unit. If lies on the POSITIVE -axis, determine the coordinates of .

    A

    B

    C

    D

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25. 25

    NUST Engineering Past Paper-1

    Identify the antiderivative of from the listed options. (Source statement equates to a malformed expression , then asks for .)

    A

    B

    None

    C

    D

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26. 26

    NUST Engineering Past Paper-1

    Given , determine .

    A

    B

    C

    None

    D

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27. 27

    NUST Engineering Past Paper-1

    Determine the foci of the hyperbola .

    A

    None

    B

    C

    D

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28. 28

    NUST Engineering Past Paper-1

    Given , determine .

    A

    B

    C

    None

    D

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29. 29

    NUST Engineering Past Paper-1

    Determine such that .

    A

    None

    B

    C

    D

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30. 30

    NUST Engineering Past Paper-1

    Pakistan plays independent cricket matches, with two specific players always selected. If the probability of winning each match is , determine the probability of winning ALL matches.

    A

    B

    C

    D

    None

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31. 31

    NUST Engineering Past Paper-1

    Given , , , , determine (the count of elements in NEITHER NOR ).

    A

    None

    B

    C

    D

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32. 32

    NUST Engineering Past Paper-1

    Given , , , compute the scalar triple product .

    A

    B

    C

    D

    None

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33. 33

    NUST Engineering Past Paper-1

    Identify the correct inequality relating to for ALL real .

    A

    None

    B

    C

    D

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34. 34

    NUST Engineering Past Paper-1

    Identify where the rational function is continuous.

    A

    None

    B

    Continuous at

    C

    Continuous at

    D

    Both

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35. 35

    NUST Engineering Past Paper-1

    Determine so that is continuous at .

    A

    B

    C

    D

    None

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36. 36

    NUST Engineering Past Paper-1

    Two vectors each of magnitude make an angle of between them. Find the magnitude of their resultant.

    A

    B

    None

    C

    D

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37. 37

    NUST Engineering Past Paper-1

    What is the range of the function ?

    A

    B

    C

    D

    None

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38. 38

    NUST Engineering Past Paper-1

    Identify all real for which is defined (its domain).

    A

    B

    C

    None

    D

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39. 39

    NUST Engineering Past Paper-1

    Evaluate .

    A

    B

    C

    D

    None

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40. 40

    NUST Engineering Past Paper-1

    Find the -intercepts of the circle .

    A

    B

    None

    C

    D

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41. 41

    NUST Engineering Past Paper-1

    Compute .

    A

    None

    B

    C

    D

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42. 42

    NUST Engineering Past Paper-1

    Given , find .

    A

    B

    C

    None

    D

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43. 43

    NUST Engineering Past Paper-1

    Three consecutive odd integers satisfy: twice the first minus thrice the third equals . Determine the second integer.

    A

    B

    None

    C

    D

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44. 44

    NUST Engineering Past Paper-1

    Find the remainder when is divided by .

    A

    B

    C

    D

    None

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45. 45

    NUST Engineering Past Paper-1

    Given , , and with , identify which of the candidate points for is valid.

    A

    None

    B

    C

    D

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46. 46

    NUST Engineering Past Paper-1

    A pole of height casts a shadow on level ground. If the sun's angle of elevation is , determine the shadow's length.

    A

    B

    C

    D

    None

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47. 47

    NUST Engineering Past Paper-1

    Determine the reflection of the point across the -axis.

    A

    None

    B

    C

    D

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48. 48

    NUST Engineering Past Paper-1

    If the point is reflected across the line , what is the image?

    A

    B

    None

    C

    D

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49. 49

    NUST Engineering Past Paper-1

    The line is reflected about the -axis. Determine the equation of the resulting line.

    A

    B

    C

    D

    None

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50. 50

    NUST Engineering Past Paper-1

    Classify the interior angles of a quadrilateral inscribed in a circle.

    A

    Obtuse

    B

    None

    C

    Right

    D

    Acute

    Reveal answer
51. 51

    NUST Engineering Past Paper-1

    Of the sequences and , identify which one is a geometric progression.

    A

    First

    B

    None

    C

    Both

    D

    Second

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52. 52

    NUST Engineering Past Paper-1

    Determine the arithmetic mean of and .

    A

    B

    C

    None

    D

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53. 53

    NUST Engineering Past Paper-1

    Given , evaluate .

    A

    B

    C

    None

    D

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54. 54

    NUST Engineering Past Paper-1

    Identify a correct equivalent form of .

    A

    B

    C

    It is a circle

    D

    None

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55. 55

    NUST Engineering Past Paper-1

    Given , evaluate .

    A

    B

    Both

    C

    None

    D

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56. 56

    NUST Engineering Past Paper-1

    Evaluate (constant of integration omitted).

    A

    B

    C

    None

    D

    Both

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57. 57

    NUST Engineering Past Paper-1

    Compute .

    A

    B

    None

    C

    D

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58. 58

    NUST Engineering Past Paper-1

    Evaluate .

    A

    B

    DNE

    C

    D

    None

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59. 59

    NUST Engineering Past Paper-1

    Identify the nature of the roots of .

    A

    Imaginary

    B

    Real

    C

    None

    D

    Real and rational

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60. 60

    NUST Engineering Past Paper-1

    Evaluate .

    A

    B

    C

    D

    None

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61. 61

    NUST Engineering Past Paper-1

    If , identify the complex number for which is real.

    A

    B

    C

    D

    None

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62. 62

    NUST Engineering Past Paper-1

    Given , determine .

    A

    B

    C

    D

    None

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63. 63

    NUST Engineering Past Paper-1

    Identify which of the following 3D vectors is a unit vector.

    A

    B

    C

    D

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64. 64

    NUST Engineering Past Paper-1

    Simplify .

    A

    B

    C

    D

    None

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65. 65

    NUST Engineering Past Paper-1

    Identify which of the following inverse-trig identities is correct: A: .

    A

    None

    B

    A only

    C

    Both

    D

    B only

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66. 66

    NUST Engineering Past Paper-1

    Three vertices of a parallelogram are , , . Determine the fourth vertex .

    A

    B

    C

    None

    D

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67. 67

    NUST Engineering Past Paper-1

    Identify the correct form of the double-angle identity for .

    A

    B

    None

    C

    D

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68. 68

    NUST Engineering Past Paper-1

    Evaluate .

    A

    B

    None

    C

    D

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69. 69

    NUST Engineering Past Paper-1

    Evaluate .

    A

    B

    C

    None

    D

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70. 70

    NUST Engineering Past Paper-1

    If two of the three vectors in a scalar triple product are identical, what is the value of the product?

    A

    B

    C

    None

    D

    Reveal answer
71. 71

    NUST Engineering Past Paper-1

    The interior angles of a triangle are in the ratio . Determine the smallest angle.

    A

    B

    C

    None

    D

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72. 72

    NUST Engineering Past Paper-1

    Identify the conic represented by .

    A

    Hyperbola

    B

    Pair of straight lines

    C

    Ellipse

    D

    Circle

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73. 73

    NUST Engineering Past Paper-1

    Given , , , identify the correct relationship.

    A

    None

    B

    C

    D

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74. 74

    NUST Engineering Past Paper-1

    For the quadratic , the sum of the squares of its roots is . Determine .

    A

    B

    None

    C

    D

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75. 75

    NUST Engineering Past Paper-1

    Given , compute .

    A

    B

    None

    C

    D

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76. 76

    NUST Engineering Past Paper-1

    Evaluate .

    A

    B

    None

    C

    D

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77. 77

    NUST Engineering Past Paper-1

    Given , determine .

    A

    B

    None

    C

    D

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78. 78

    NUST Engineering Past Paper-1

    Simplify .

    A

    B

    C

    D

    None

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79. 79

    NUST Engineering Past Paper-1

    Simplify .

    A

    B

    C

    D

    None

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80. 80

    NUST Engineering Past Paper-1

    Given , , and the condition with parallel to and in the same direction as , determine .

    A

    B

    C

    D

    None

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81. 81

    NUST Engineering Past Paper-1

    Given , determine .

    A

    B

    C

    None

    D

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82. 82

    NUST Engineering Past Paper-1

    Find the arithmetic mean of and .

    A

    B

    C

    None

    D

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83. 83

    NUST Engineering Past Paper-1

    Find the equation of the focal chord of the parabola that passes through the point .

    A

    B

    C

    None

    D

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84. 84

    NUST Engineering Past Paper-1

    Find the eccentricity of the ellipse .

    A

    Not possible

    B

    None

    C

    D

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85. 85

    NUST Engineering Past Paper-1

    An ellipse has latus rectum equal to three-quarters of its major axis. Determine its eccentricity.

    A

    B

    C

    D

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86. 86

    NUST Engineering Past Paper-1

    Evaluate .

    A

    B

    None

    C

    D

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87. 87

    NUST Engineering Past Paper-1

    Given , evaluate .

    A

    B

    None

    C

    D

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88. 88

    NUST Engineering Past Paper-1

    Evaluate .

    A

    B

    C

    None

    D

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89. 89

    NUST Engineering Past Paper-1

    Evaluate .

    A

    B

    C

    D

    Reveal answer
90. 90

    NUST Engineering Past Paper-1

    If with acute, determine .

    A

    B

    C

    D

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91. 91

    NUST Engineering Past Paper-1

    Find the derivative of .

    A

    B

    C

    D

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92. 92

    NUST Engineering Past Paper-1

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

    A

    Coming from external sources

    B

    Belonging naturally and essentially to something

    C

    Unimportant and irrelevant

    D

    Added artificially from outside

    Reveal answer
93. 93

    NUST Engineering Past Paper-1

    Choose the word that best completes the analogy: 'Walk : Run :: Whisper : ____'.

    A

    Sound

    B

    Silence

    C

    Shout

    D

    Speak

    Reveal answer
94. 94

    NUST Engineering Past Paper-1

    Pick the word closest in meaning to 'Amble':

    A

    Trudge

    B

    Saunter

    C

    Sprint

    D

    Gallop

    Reveal answer
95. 95

    NUST Engineering Past Paper-1

    Which of the following spells the noun for 'the fact of being' correctly?

    A

    Existense

    B

    Existince

    C

    Existence

    D

    Existance

    Reveal answer
96. 96

    NUST Engineering Past Paper-20 NUST Engineering Past Paper-1

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

    A

    Extinguish

    B

    Inflame

    C

    Stir

    D

    Arouse

    Reveal answer
97. 97

    NUST Engineering Past Paper-1 NUST Engineering Past Paper-5

    Pick the word closest in meaning to 'perpetual':

    A

    Brief

    B

    Occasional

    C

    Temporary

    D

    Eternal

    Reveal answer
98. 98

    NUST Engineering Past Paper-1

    Pick the option that best defines 'Adieu':

    A

    A term of gratitude

    B

    A farewell expression

    C

    A formal greeting

    D

    An expression of surprise

    Reveal answer
99. 99

    NUST Engineering Past Paper-1

    Pick the word closest in meaning to 'Adieu':

    A

    Farewell

    B

    Salutation

    C

    Greetings

    D

    Welcome

    Reveal answer
100. 100

     NUST Engineering Past Paper-1

     Pick the option that best defines 'Aloof':

     A

     Not friendly or forthcoming; distant

     B

     Warm and sociable

     C

     Overly concerned with others

     D

     Extremely talkative

     Reveal answer
101. 101

     NUST Engineering Past Paper-1

     Pick the word closest in meaning to 'Antipathy':

     A

     Aversion

     B

     Affection

     C

     Fondness

     D

     Sympathy

     Reveal answer
102. 102

     NUST Engineering Past Paper-1

     Pick the word closest in meaning to 'Arable':

     A

     Infertile

     B

     Fertile

     C

     Arid

     D

     Barren

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103. 103

     NUST Engineering Past Paper-1

     Pick the option that best defines 'Augment':

     A

     To make something smaller or weaker

     B

     To make something greater by adding to it

     C

     To examine something carefully

     D

     To replace something entirely

     Reveal answer
104. 104

     NUST Engineering Past Paper-1

     Pick the term closest in meaning to 'Autopsy':

     A

     Post-mortem

     B

     Biopsy

     C

     Diagnosis

     D

     Surgery

     Reveal answer
105. 105

     NUST Engineering Past Paper-1

     Pick the option that best defines 'Bleak':

     A

     Bright and cheerful

     B

     Lacking warmth or hope; dreary

     C

     Abundantly colorful

     D

     Energetic and lively

     Reveal answer
106. 106

     NUST Engineering Past Paper-1

     Pick the word most nearly OPPOSITE in meaning to 'Bona fide':

     A

     Legitimate

     B

     Spurious

     C

     Genuine

     D

     Valid

     Reveal answer
107. 107

     NUST Engineering Past Paper-1

     Pick the word most nearly OPPOSITE in meaning to 'Deliberate' (intentional):

     A

     Calculated

     B

     Intentional

     C

     Inadvertent

     D

     Willful

     Reveal answer
108. 108

     NUST Engineering Past Paper-1

     Pick the word closest in meaning to 'Emulate':

     A

     Imitate

     B

     Oppose

     C

     Ignore

     D

     Disregard

     Reveal answer
109. 109

     NUST Engineering Past Paper-1

     Pick the option that best defines 'Fierce':

     A

     Gentle and timid

     B

     Having or displaying an intense, aggressive energy

     C

     Slow and indifferent

     D

     Calm and composed

     Reveal answer
110. 110

     NUST Engineering Past Paper-1

     Pick the word closest in meaning to 'Foible':

     A

     Virtue

     B

     Quirk

     C

     Merit

     D

     Strength

     Reveal answer
111. 111

     NUST Engineering Past Paper-1

     Pick the option that best defines 'Frugal':

     A

     Extremely generous with money

     B

     Wasteful and extravagant

     C

     Sparing or economical in the use of resources

     D

     Indifferent about finances

     Reveal answer
112. 112

     NUST Engineering Past Paper-1

     Pick the word closest in meaning to 'Frugal':

     A

     Extravagant

     B

     Wasteful

     C

     Lavish

     D

     Thrifty

     Reveal answer
113. 113

     NUST Engineering Past Paper-1

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

     A

     Honor

     B

     Humiliation

     C

     Disgrace

     D

     Insult

     Reveal answer
114. 114

     NUST Engineering Past Paper-1

     Pick the correctly spelled adjective meaning playfully troublesome (especially in a charming way).

     A

     Mischievious

     B

     Mischivous

     C

     Mischievious

     D

     Mischievous

     Reveal answer
115. 115

     NUST Engineering Past Paper-1

     Direct → Indirect speech: Direct: '"Don't touch that," she exclaimed.' Pick the modal that correctly fills the blank in the indirect form: 'She exclaimed that I ___ touch that.'

     A

     Didn't

     B

     Wouldn't

     C

     Shouldn't

     D

     Don't

     Reveal answer
116. 116

     NUST Engineering Past Paper-1

     Identify the segment containing the grammatical error: 'Having been studying / for the test for weeks / he feels as if / he still not prepared.'

     A

     For the test for weeks

     B

     He still not prepared

     C

     He feels as if

     D

     Having been studying

     Reveal answer
117. 117

     NUST Engineering Past Paper-1

     Fill the blank with the correct verb form: 'The CEO, along with his team of managers, ___ to Europe next month for the annual conference.'

     A

     Have flown

     B

     Are flying

     C

     Is flying

     D

     Fly

     Reveal answer
118. 118

     NUST Engineering Past Paper-1

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

     A

     Bright

     B

     Unfashionable

     C

     New

     D

     Stylish

     Reveal answer
119. 119

     NUST Engineering Past Paper-1

     Identify the grammatically correct sentence regarding subject-verb agreement and pronoun choice with 'each.'

     A

     Each of the employees have their own desk

     B

     Each of the employees have it's own desk

     C

     Each of the employees has their own desk

     D

     Each of the employees has his or her own desk

     Reveal answer
120. 120

     NUST Engineering Past Paper-1

     Fill the blank with the correct verb form: 'Not only the students but also the teacher ___ excited about the upcoming field trip.'

     A

     Were

     B

     Is

     C

     Are

     D

     Have been

     Reveal answer
121. 121

     NUST Engineering Past Paper-1

     Pick the antonym of the adjective PROLIX.

     A

     Wordy

     B

     Concise

     C

     Redundant

     D

     Verbose

     Reveal answer
122. 122

     NUST Engineering Past Paper-1

     Fill the blank with the correct inverted-construction form: 'The instructions were quite clear: under no circumstances ___ to touch the artifacts.'

     A

     Are visitors allowed

     B

     Visitors are allowed

     C

     Is visitors allowed

     D

     Were visitors allowed

     Reveal answer
123. 123

     NUST Engineering Past Paper-1

     Pick the option that best describes someone who is SANGUINE.

     A

     Cheerful

     B

     Distrustful

     C

     Anxious

     D

     Hopeless

     Reveal answer
124. 124

     NUST Engineering Past Paper-1

     Pick the option that best defines the adjective INEFFABLE.

     A

     Unimportant

     B

     Ineffective

     C

     Able to be understood

     D

     Too great to be expressed in words

     Reveal answer
125. 125

     NUST Engineering Past Paper-1

     Pick the option that best captures what the term PEJORATIVE refers to.

     A

     Is flattering

     B

     Is commendable

     C

     Expresses contempt

     D

     Is uplifting

     Reveal answer
126. 126

     NUST Engineering Past Paper-15 NUST Engineering Past Paper-19 NUST Engineering Past Paper-1

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

     A

     Wise

     B

     Foolish

     C

     Unwise

     D

     Ignorant

     Reveal answer
127. 127

     NUST Engineering Past Paper-1

     Identify the segment containing the grammatical error: 'Many companies are searching for / methods to reduce / their carbon footprint / lesser.'

     A

     Many companies are searching

     B

     Their carbon footprint

     C

     Lesser

     D

     Methods to reduce

     Reveal answer
128. 128

     NUST Engineering Past Paper-1

     Pick the correctly spelled verb meaning 'to take the place of, especially through being newer or more effective.'

     A

     Supercede

     B

     Supersceed

     C

     Supersede

     D

     Superceed

     Reveal answer
129. 129

     NUST Engineering Past Paper-1

     Pick the antonym of the verb BROOK (in the sense of 'to tolerate').

     A

     Accept

     B

     Endure

     C

     Permit

     D

     Forbid

     Reveal answer
130. 130

     NUST Engineering Past Paper-1

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

     A

     The highest point of something

     B

     The lowest point in a situation

     C

     The beginning of a process

     D

     A state of complete balance

     Reveal answer
131. 131

     NUST Engineering Past Paper-1

     Pick the antonym of the noun ABOMINATION.

     A

     Plague

     B

     Blessing

     C

     Disgrace

     D

     Horror

     Reveal answer
132. 132

     NUST Engineering Past Paper-1

     Pick the synonym of the adjective PREMEDITATED.

     A

     Impulsive

     B

     Calculated

     C

     Spontaneous

     D

     Accidental

     Reveal answer
133. 133

     NUST Engineering Past Paper-1

     Pick the option closest in meaning to the adjective SESQUIPEDALIAN.

     A

     Loquacious

     B

     Prolix

     C

     Simple

     D

     Concise

     Reveal answer
134. 134

     NUST Engineering Past Paper-1

     In a Young's double-slit setup, what is the distance from the central bright fringe to the rd dark fringe? (Use slit separation and screen distance .)

     A

     B

     C

     D

     Reveal answer
135. 135

     NUST Engineering Past Paper-1

     The electrical resistance of a uniform conductor depends on which combination of the following factors?

     A

     Cross-sectional area and voltage only

     B

     Material and current only

     C

     Length, cross-sectional area, and material of the conductor

     D

     Length and temperature only

     Reveal answer
136. 136

     NUST Engineering Past Paper-20 NUST Engineering Past Paper-1

     Express the SI unit 'joule' (J) in terms of the SI unit 'watt' (W).

     A

     Watt/meter

     B

     Watt-meter

     C

     Watt/second

     D

     Watt-second

     Reveal answer
137. 137

     NUST Engineering Past Paper-1

     Identify the physical quantity represented by the expression (with mass , speed , length ).

     A

     Momentum lost

     B

     Force applied

     C

     Pressure

     D

     Momentum transferred

     Reveal answer
138. 138

     NUST Engineering Past Paper-1

     Among the following, identify the force that is NON-conservative (i.e., for which the work done depends on the path taken).

     A

     Electrostatic force

     B

     Spring (elastic) force

     C

     Gravitational force

     D

     Friction

     Reveal answer
139. 139

     NUST Engineering Past Paper-1

     An IDEAL operational amplifier (op-amp) is characterised by which of the following?

     A

     Low output voltage

     B

     Low input voltage

     C

     High input resistance and low output resistance

     D

     Low input resistance

     Reveal answer
140. 140

     NUST Engineering Past Paper-1

     A hanging mass of kg produces a deflection of cm in a vertical spring. Determine the spring constant. (Take m/s.)

     A

     B

     C

     D

     Reveal answer
141. 141

     NUST Engineering Past Paper-1

     A spring-mass oscillator has mass , spring constant , and time period . If is QUADRUPLED () and is HALVED, determine the new time period.

     A

     B

     C

     D

     Reveal answer
142. 142

     NUST Engineering Past Paper-1

     Identify the SI unit of force.

     A

     Pascal (Pa)

     B

     Joule (J)

     C

     Watt (W)

     D

     Newton (N)

     Reveal answer
143. 143

     NUST Engineering Past Paper-1

     For a stretched wire, if the linear mass density is DOUBLED while the tension is held constant, how does the fundamental frequency of vibration change?

     A

     B

     C

     D

     Reveal answer
144. 144

     NUST Engineering Past Paper-1

     In uniform circular motion, the work done by the centripetal force is zero. Identify the correct reason.

     A

     The acceleration is zero

     B

     The net force is zero

     C

     The centripetal force and the velocity (displacement) are always perpendicular to each other

     D

     The speed is constant throughout

     Reveal answer
145. 145

     NUST Engineering Past Paper-1

     Identify the SI unit of the universal gravitational constant .

     A

     B

     C

     D

     Reveal answer
146. 146

     NUST Engineering Past Paper-1 NUST Engineering Past Paper-4

     Two equal, like point charges are placed at points I and III on a straight line. At which point does the net electric field vanish?

     A

     At point III

     B

     At point II (the midpoint)

     C

     Between I and III (somewhere in between)

     D

     At point I

     Reveal answer
147. 147

     NUST Engineering Past Paper-1

     For a mass-spring oscillator in simple harmonic motion, at which position is the instantaneous displacement zero?

     A

     At the equilibrium position

     B

     At the extreme (amplitude) position

     C

     At the rest position (before release)

     D

     Nowhere

     Reveal answer
148. 148

     NUST Engineering Past Paper-1

     In a power-supply circuit, which component is used to smooth (reduce ripples in) the rectified DC output?

     A

     Transformer

     B

     Inductor only

     C

     Resistor

     D

     Filter (Capacitor)

     Reveal answer
149. 149

     NUST Engineering Past Paper-1

     A point charge originally at the centre of a closed Gaussian surface is moved (slightly) toward the surface (still inside). What changes at a typical point ON the surface?

     A

     Both electric flux and electric field change

     B

     Electric field changes

     C

     Electric flux changes

     D

     Nothing changes

     Reveal answer
150. 150

     NUST Engineering Past Paper-1

     Two point charges interact electrostatically. Determine the ratio where is the force on charge due to charge , and is the force on charge due to charge .

     A

     B

     C

     D

     Depends on the masses

     Reveal answer
151. 151

     NUST Engineering Past Paper-1

     An IDEAL operational amplifier (op-amp) is characterized by which of the following?

     A

     Low input voltage

     B

     Low input resistance

     C

     High input resistance and low output resistance

     D

     Low output voltage

     Reveal answer
152. 152

     NUST Engineering Past Paper-19 NUST Engineering Past Paper-1

     Among the listed media, in which does sound travel FASTEST?

     A

     Copper

     B

     Methanol

     C

     Water

     D

     Glass

     Reveal answer
153. 153

     NUST Engineering Past Paper-1

     In an n-type germanium semiconductor, what are the MAJORITY charge carriers?

     A

     Electrons

     B

     Protons

     C

     Both electrons and holes equally

     D

     Holes

     Reveal answer
154. 154

     NUST Engineering Past Paper-1

     A clock hangs on a wall with its face toward the viewer; the hands rotate clockwise as the viewer sees them. Determine the direction of the angular velocity vector of the moving hands.

     A

     Along the clock needle

     B

     Into the wall (away from the viewer)

     C

     Out of the wall (towards the viewer)

     D

     Upward

     Reveal answer
155. 155

     NUST Engineering Past Paper-1 NUST Engineering Past Paper-2

     Identify a typical use of a (semiconductor) diode in electronic circuits.

     A

     Store electrical charge

     B

     Convert DC to AC (inversion)

     C

     Amplify signals

     D

     Convert AC to DC (rectification)

     Reveal answer
156. 156

     NUST Engineering Past Paper-1

     A vector of magnitude lies in the second quadrant (between the negative -axis and the positive -axis), making a angle with the negative -axis. Determine its horizontal () component.

     A

     B

     C

     D

     Reveal answer
157. 157

     NUST Engineering Past Paper-1

     Two vectors and have magnitudes and respectively. Their resultant is perpendicular to . Determine the angle between and .

     A

     B

     C

     D

     Reveal answer
158. 158

     NUST Engineering Past Paper-1 NUST Engineering Past Paper-4

     Identify the physical quantity for which the RADIAN is the SI supplementary (derived) unit.

     A

     Solid angle

     B

     Plane angle

     C

     Luminous flux

     D

     Intensity of light

     Reveal answer
159. 159

     NUST Engineering Past Paper-1

     Faraday's law of induction () — including the minus sign (Lenz's law) — is fundamentally a consequence of which conservation principle?

     A

     Law of Conservation of Energy

     B

     Law of Conservation of Mass

     C

     Newton's Law of Motion

     D

     Ohm's Law

     Reveal answer
160. 160

     NUST Engineering Past Paper-1

     Among the listed common household appliances, identify the one that typically draws the GREATEST electric current.

     A

     TV

     B

     Motor

     C

     Iron

     D

     Oven

     Reveal answer
161. 161

     NUST Engineering Past Paper-1

     Let and be unit vectors mutually perpendicular. Compute .

     A

     B

     C

     D

     Reveal answer
162. 162

     NUST Engineering Past Paper-1

     A straight wire of length m carrying current A is placed PERPENDICULAR to a uniform magnetic field of magnitude T. Determine the magnitude of the force on the wire.

     A

     B

     C

     D

     Reveal answer
163. 163

     NUST Engineering Past Paper-1

     Using Ampere's law, determine the magnetic field at distance m from a long straight wire carrying current A. Take T·m/A.

     A

     B

     C

     D

     Reveal answer
164. 164

     NUST Engineering Past Paper-1

     Identify the correct definition of Young's modulus.

     A

     Change in length over original length

     B

     Strain over stress

     C

     Force over area

     D

     Stress over strain

     Reveal answer
165. 165

     NUST Engineering Past Paper-1

     Determine the dimensions of (with a force, a length, a mass).

     A

     LT

     B

     L/T

     C

     ML/T

     D

     T/L

     Reveal answer
166. 166

     NUST Engineering Past Paper-1

     Identify the physicist who first proposed that electrons revolve in FIXED orbits (quantised angular momentum) around the nucleus.

     A

     J.J. Thomson

     B

     Albert Einstein

     C

     Niels Bohr

     D

     Ernest Rutherford

     Reveal answer
167. 167

     NUST Engineering Past Paper-1

     Among the following statements, identify the one that is TRUE about electric field lines.

     A

     They never intersect

     B

     They move from negative to positive

     C

     They form closed loops

     D

     They start from negative charges

     Reveal answer
168. 168

     NUST Engineering Past Paper-1

     A simple pendulum oscillates with frequency Hz. Determine its length (take m/s and use ).

     A

     2.0 m

     B

     0.5 m

     C

     1.0 m

     D

     0.25 m

     Reveal answer
169. 169

     NUST Engineering Past Paper-1

     Newton's rings (concentric bright-and-dark fringes seen between a curved glass surface and a flat plate) are an example of which optical phenomenon?

     A

     Polarisation

     B

     Refraction

     C

     Diffraction

     D

     Interference of light

     Reveal answer
170. 170

     NUST Engineering Past Paper-1

     A projectile is launched with horizontal velocity m/s and vertical velocity m/s (from ground level, with m/s). Determine its horizontal range.

     A

     30 m

     B

     50 m

     C

     20 m

     D

     40 m

     Reveal answer
171. 171

     NUST Engineering Past Paper-1

     How does the effective resistance of a P-N junction change when it is FORWARD-biased?

     A

     Becomes infinite

     B

     Decreases

     C

     Remains the same

     D

     Increases

     Reveal answer
172. 172

     NUST Engineering Past Paper-1

     Two vectors and are perpendicular and have equal magnitudes. Compute .

     A

     B

     0

     C

     D

     Reveal answer
173. 173

     NUST Engineering Past Paper-1

     For an ideal gas held at constant temperature, identify the relationship between pressure and volume.

     A

     Directly proportional

     B

     Constant

     C

     Inversely proportional

     D

     Exponential

     Reveal answer
174. 174

     NUST Engineering Past Paper-1

     In the Bohr model of hydrogen, identify how the radius of the th allowed orbit scales with the principal quantum number .

     A

     B

     C

     D

     Reveal answer
175. 175

     NUST Engineering Past Paper-1

     A constant force of N acts on a body moving with velocity m/s in the direction of the force. Determine the instantaneous power.

     A

     5 W

     B

     1 W

     C

     10 W

     D

     20 W

     Reveal answer
176. 176

     NUST Engineering Past Paper-1

     Two thin converging lenses are placed in contact. The combined focal length is cm, and the power of one lens is D (diopter). Determine the power of the other lens.

     A

     9 D

     B

     11 D

     C

     10 D

     D

     5 D

     Reveal answer
177. 177

     NUST Engineering Past Paper-1

     A stretched string vibrating in its FUNDAMENTAL mode (one antinode) under tension produces a certain frequency . What tension is required to make the string vibrate in TWO segments (second harmonic) at the SAME frequency ?

     A

     B

     C

     D

     Reveal answer
178. 178

     NUST Engineering Past Paper-1

     If the current in a nearby wire is INCREASING, what is the direction of the induced current in a neighbouring coil (relative to the source current direction)?

     A

     Is in the same direction

     B

     Remains the same

     C

     Is zero

     D

     Opposes the change

     Reveal answer
179. 179

     NUST Engineering Past Paper-1

     A man's weight on the Moon is N. Given m/s, determine his mass.

     A

     10 kg

     B

     160 kg

     C

     16 kg

     D

     100 kg

     Reveal answer
180. 180

     NUST Engineering Past Paper-1

     Lenz's law (the minus sign in Faraday's induction law) is fundamentally a consequence of which conservation principle?

     A

     Conservation of energy

     B

     Conservation of momentum

     C

     Newton's second law

     D

     Conservation of charge

     Reveal answer
181. 181

     NUST Engineering Past Paper-1

     Identify the path-difference condition for a DARK fringe (minima) in Young's double-slit experiment.

     A

     B

     C

     D

     Reveal answer
182. 182

     NUST Engineering Past Paper-1

     A capacitor of F is charged to V. Determine the energy stored.

     A

     0.5 J

     B

     5 J

     C

     0.05 J

     D

     50 J

     Reveal answer
183. 183

     NUST Engineering Past Paper-1

     Identify the most precise thermodynamic definition of HEAT.

     A

     Stored potential energy

     B

     Energy due to motion

     C

     Force applied to a body

     D

     Energy transfer due to temperature difference

     Reveal answer
184. 184

     NUST Engineering Past Paper-1

     An object's surface is at a temperature of approximately (similar to that of the Sun). Identify the region of the electromagnetic spectrum in which it emits radiation most intensely.

     A

     Visible

     B

     UV

     C

     Infrared

     D

     X-ray

     Reveal answer
185. 185

     NUST Engineering Past Paper-1

     If the frequency of a simple pendulum changes from to , determine the new length expressed in terms of the original length .

     A

     B

     C

     D

     Reveal answer
186. 186

     NUST Engineering Past Paper-1

     In a nuclear decay process, the parent nucleus's mass number decreases by while its atomic number decreases by . Identify the type of particle emitted.

     A

     Alpha particle

     B

     Beta particle

     C

     Positron

     D

     Neutron

     Reveal answer
187. 187

     NUST Engineering Past Paper-1

     Identify the physicist who first introduced the matter-wave hypothesis (the idea that material particles can behave like waves).

     A

     de Broglie

     B

     Einstein

     C

     Bohr

     D

     Compton

     Reveal answer
188. 188

     NUST Engineering Past Paper-1

     Determine the physical quantity whose SI unit equals .

     A

     Electric field

     B

     Electromagnetic pressure

     C

     Magnetic field

     D

     Electric potential

     Reveal answer
189. 189

     NUST Engineering Past Paper-1

     Describe the geometric form of the wavefronts produced by an isolated point source of light propagating outward in a homogeneous isotropic medium (traced in a 2-D plane).

     A

     Non-concentric circles with constant radius

     B

     Concentric circles with constant radius

     C

     Non-concentric circles with increasing radius

     D

     Concentric circles with increasing radius

     Reveal answer
190. 190

     NUST Engineering Past Paper-1

     State the type of majority charge carrier in an N-type extrinsic semiconductor.

     A

     Positrons

     B

     Protons

     C

     Holes

     D

     Electrons

     Reveal answer
191. 191

     NUST Engineering Past Paper-1

     Identify which kind of field(s) a moving electric charge generates in space.

     A

     Both electric and magnetic fields

     B

     Only an electric field

     C

     Only a magnetic field

     D

     Neither electric nor magnetic field

     Reveal answer
192. 192

     NUST Engineering Past Paper-1

     State the numerical multiplier denoted by the SI prefix 'femto-' (symbol f).

     A

     B

     C

     D

     Reveal answer
193. 193

     NUST Engineering Past Paper-1

     If the universal gravitational constant were halved (with the Earth's mass and radius unchanged), determine the corresponding effect on the surface gravitational acceleration .

     A

     Remain the same

     B

     Double

     C

     Become half

     D

     Become one-quarter

     Reveal answer
194. 194

     NUST Engineering Past Paper-1

     Identify the physical reason why the Sun appears reddish near the horizon (during sunrise and sunset) rather than in the middle of the sky.

     A

     The sun emits red light only at those times

     B

     Red light is scattered more than other colours

     C

     Blue light is scattered more by the atmosphere, leaving red light to dominate

     D

     The sun's temperature drops at sunrise and sunset

     Reveal answer
195. 195

     NUST Engineering Past Paper-1

     If the time period of a simple pendulum is increased by a factor of (i.e. ), determine the new frequency in terms of the original frequency .

     A

     Frequency becomes 6 times

     B

     Frequency becomes 3 times

     C

     Frequency becomes of original

     D

     Frequency becomes of original

     Reveal answer
196. 196

     NUST Engineering Past Paper-1

     State what happens to the pressure of an incompressible fluid in a pipe when its speed decreases (in horizontal steady flow).

     A

     Increases

     B

     Remains the same

     C

     Decreases

     D

     Becomes zero

     Reveal answer
197. 197

     NUST Engineering Past Paper-1

     Identify the term used in physics for confining a transverse wave's oscillations to a single plane.

     A

     Depolarization

     B

     Polarization

     C

     Transformation

     D

     None of these

     Reveal answer
198. 198

     NUST Engineering Past Paper-1

     A sound wave has frequency and wavelength . Determine its speed.

     A

     B

     C

     D

     Reveal answer