NUST Engineering Past Paper-15

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

1. 1

   NUST Engineering Past Paper-15

   Find the point at which is neither increasing nor decreasing.

   A

   B

   C

   D

   None of these

   Reveal answer
2. 2

   NUST Engineering Past Paper-15

   Find the equation of the ellipse with foci and vertices .

   A

   B

   C

   D

   None of these

   Reveal answer
3. 3

   NUST Engineering Past Paper-15

   Evaluate .

   A

   B

   0

   C

   1

   D

   Reveal answer
4. 4

   NUST Engineering Past Paper-15

   If and , what is ?

   A

   5

   B

   6

   C

   1

   D

   3

   Reveal answer
5. 5

   NUST Engineering Past Paper-15

   Evaluate .

   A

   B

   C

   D

   Reveal answer
6. 6

   NUST Engineering Past Paper-15

   Evaluate .

   A

   B

   C

   1

   D

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7. 7

   NUST Engineering Past Paper-15

   Find the maximum value of .

   A

   1

   B

   0

   C

   2

   D

   None of these

   Reveal answer
8. 8

   NUST Engineering Past Paper-15

   About which line are the graphs of a one-to-one function and its inverse mirror images of each other?

   A

   y-axis

   B

   y = x

   C

   x-axis

   D

   None

   Reveal answer
9. 9

   NUST Engineering Past Paper-15

   Does the infinite geometric series converge or diverge?

   A

   Converges

   B

   Diverges

   C

   Both

   D

   Neither

   Reveal answer
10. 10

    NUST Engineering Past Paper-15

    How would you classify the matrix among the standard matrix types?

    A

    Scalar

    B

    All

    C

    Diagonal

    D

    Square Matrix

    Reveal answer
11. 11

    NUST Engineering Past Paper-15

    Find an exact value of .

    A

    B

    C

    D

    None of these

    Reveal answer
12. 12

    NUST Engineering Past Paper-15

    If , find .

    A

    B

    C

    2

    D

    None of these

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13. 13

    NUST Engineering Past Paper-15

    Evaluate .

    A

    B

    C

    D

    None of these

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14. 14

    NUST Engineering Past Paper-15

    For which values of does the equation hold?

    A

    B

    None

    C

    D

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15. 15

    NUST Engineering Past Paper-15

    Find for at .

    A

    -1

    B

    0

    C

    Not Differentiable

    D

    1

    Reveal answer
16. 16

    NUST Engineering Past Paper-15

    Determine the vertex of the parabola .

    A

    B

    C

    D

    None of these

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17. 17

    NUST Engineering Past Paper-15

    Find the eccentricity of the hyperbola .

    A

    B

    C

    D

    None of these

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18. 18

    NUST Engineering Past Paper-15

    If , find the real part of .

    A

    5

    B

    C

    12

    D

    None of these

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19. 19

    NUST Engineering Past Paper-15

    If , find .

    A

    B

    C

    D

    None of these

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20. 20

    NUST Engineering Past Paper-15

    Compute .

    A

    B

    C

    D

    None of these

    Reveal answer
21. 21

    NUST Engineering Past Paper-15

    Find the perpendicular distance from the point to the line .

    A

    B

    5

    C

    D

    None of these

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22. 22

    NUST Engineering Past Paper-15

    Solve for — find any one solution from the listed choices.

    A

    B

    C

    D

    Reveal answer
23. 23

    NUST Engineering Past Paper-15

    Evaluate .

    A

    B

    C

    D

    None of these

    Reveal answer
24. 24

    NUST Engineering Past Paper-15

    What is the slope of the horizontal line ?

    A

    0

    B

    Undefined

    C

    1

    D

    Reveal answer
25. 25

    NUST Engineering Past Paper-15

    Identify the intervals on which is decreasing.

    A

    B

    C

    D

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26. 26

    NUST Engineering Past Paper-15

    Three vectors satisfy with magnitudes , , respectively. Find the angle between and .

    A

    B

    C

    D

    None of these

    Reveal answer
27. 27

    NUST Engineering Past Paper-15

    For , under what condition is a polynomial?

    A

    is odd

    B

    C

    is even

    D

    B and C

    Reveal answer
28. 28

    NUST Engineering Past Paper-15

    Evaluate .

    A

    B

    Undefined

    C

    1

    D

    Reveal answer
29. 29

    NUST Engineering Past Paper-15

    What range of values does the eccentricity of the planet Mars' orbit fall in?

    A

    B

    C

    D

    Reveal answer
30. 30

    NUST Engineering Past Paper-15

    Which of the following is Leibniz's notation for the derivative?

    A

    B

    C

    D

    None

    Reveal answer
31. 31

    NUST Engineering Past Paper-15

    If , find .

    A

    B

    0

    C

    D

    None of these

    Reveal answer
32. 32

    NUST Engineering Past Paper-15

    Determine the domain of .

    A

    None

    B

    C

    D

    Reveal answer
33. 33

    NUST Engineering Past Paper-15

    Find .

    A

    B

    C

    D

    None of these

    Reveal answer
34. 34

    NUST Engineering Past Paper-15

    A hollow pipe of length ft has internal diameter ft and external diameter ft. If the total surface area is square feet, find .

    A

    110

    B

    100

    C

    126

    D

    None of these

    Reveal answer
35. 35

    NUST Engineering Past Paper-15

    Identify the conic represented by .

    A

    Parabola

    B

    Ellipse

    C

    Circle

    D

    None

    Reveal answer
36. 36

    NUST Engineering Past Paper-15

    Find the fundamental period of .

    A

    B

    C

    D

    None of these

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37. 37

    NUST Engineering Past Paper-15

    Evaluate .

    A

    0

    B

    C

    D

    None of these

    Reveal answer
38. 38

    NUST Engineering Past Paper-15

    Suppose and . What can you conclude about the sign of ?

    A

    Insufficient info

    B

    C

    D

    Reveal answer
39. 39

    NUST Engineering Past Paper-15

    An ellipse centred at the origin has eccentricity and a focus at . Find its equation.

    A

    B

    C

    D

    None of these

    Reveal answer
40. 40

    NUST Engineering Past Paper-15

    In which quadrants does the graph of lie?

    A

    I and III

    B

    All Quadrants

    C

    I and II

    D

    II and IV

    Reveal answer
41. 41

    NUST Engineering Past Paper-15

    Compute .

    A

    1

    B

    C

    D

    None of these

    Reveal answer
42. 42

    NUST Engineering Past Paper-15

    How many arrangements of the digits have the digits and NEVER adjacent?

    A

    480

    B

    240

    C

    72

    D

    None of these

    Reveal answer
43. 43

    NUST Engineering Past Paper-15

    The sequence (odd natural numbers) is summed. What is the sum of the first terms?

    A

    B

    C

    D

    Reveal answer
44. 44

    NUST Engineering Past Paper-15

    Consider the sequence whose -th term is , beginning . At what position does first appear in the sequence?

    A

    B

    C

    D

    None of these

    Reveal answer
45. 45

    NUST Engineering Past Paper-15

    A circle is inscribed in a rectangle of dimensions . Find its radius.

    A

    3

    B

    7.5

    C

    15

    D

    None of these

    Reveal answer
46. 46

    NUST Engineering Past Paper-15

    A piece of wire is bent into a semicircle of radius cm. Find the length of the wire.

    A

    cm

    B

    cm

    C

    cm

    D

    cm

    Reveal answer
47. 47

    NUST Engineering Past Paper-15

    A rectangle has length and width . It is inscribed in a circle. Find the radius of that circle.

    A

    8.5

    B

    17

    C

    15

    D

    None of these

    Reveal answer
48. 48

    NUST Engineering Past Paper-15

    A tower casts a shadow of length m, and the angle of elevation of the sun is . Find the tower's height.

    A

    m

    B

    30 m

    C

    m

    D

    None of these

    Reveal answer
49. 49

    NUST Engineering Past Paper-15

    If , find .

    A

    None of these

    B

    0

    C

    1

    D

    Reveal answer
50. 50

    NUST Engineering Past Paper-15

    Find the number of distinct arrangements of the letters in the word MISSISSIPPI.

    A

    34650

    B

    11!

    C

    D

    None of these

    Reveal answer
51. 51

    NUST Engineering Past Paper-15

    What kind of conic does the equation represent?

    A

    Ellipse

    B

    Hyperbola

    C

    Parabola

    D

    None

    Reveal answer
52. 52

    NUST Engineering Past Paper-15

    Compute .

    A

    B

    C

    D

    None of these

    Reveal answer
53. 53

    NUST Engineering Past Paper-15

    Simplify .

    A

    B

    C

    D

    None of these

    Reveal answer
54. 54

    NUST Engineering Past Paper-15

    Evaluate .

    A

    2

    B

    1

    C

    0

    D

    DNE

    Reveal answer
55. 55

    NUST Engineering Past Paper-15

    Compute .

    A

    B

    C

    D

    None of these

    Reveal answer
56. 56

    NUST Engineering Past Paper-15

    Which of the following number/matrix systems is/are associative under multiplication?

    A

    Real numbers

    B

    All

    C

    Matrices

    D

    Rational numbers

    Reveal answer
57. 57

    NUST Engineering Past Paper-15

    The strict triangle inequality (with rather than ) holds when the two non-zero complex numbers are:

    A

    B

    C

    None

    D

    Reveal answer
58. 58

    NUST Engineering Past Paper-15

    Let and . Find a unit vector perpendicular to both.

    A

    B

    C

    D

    None of these

    Reveal answer
59. 59

    NUST Engineering Past Paper-15

    If and and the point satisfies , find .

    A

    B

    C

    D

    None of these

    Reveal answer
60. 60

    NUST Engineering Past Paper-15

    Write the equation of the horizontal line that is parallel to the -axis and lies units below the -axis.

    A

    B

    C

    D

    Reveal answer
61. 61

    NUST Engineering Past Paper-15

    Find the equation of the straight line passing through and .

    A

    B

    C

    D

    None of these

    Reveal answer
62. 62

    NUST Engineering Past Paper-15

    Find every in satisfying .

    A

    B

    only

    C

    D

    None of these

    Reveal answer
63. 63

    NUST Engineering Past Paper-15

    Find the period of , where is a real constant.

    A

    B

    C

    D

    None of these

    Reveal answer
64. 64

    NUST Engineering Past Paper-15

    Find the period of .

    A

    B

    C

    D

    None of these

    Reveal answer
65. 65

    NUST Engineering Past Paper-15

    Find the period of .

    A

    B

    C

    D

    None of these

    Reveal answer
66. 66

    NUST Engineering Past Paper-15

    For two parallel (non-vertical) lines, what is the relationship between their slopes?

    A

    None

    B

    1

    C

    0

    D

    -1

    Reveal answer
67. 67

    NUST Engineering Past Paper-15

    What is the slope of a line that is parallel to the -axis?

    A

    -1

    B

    Undefined

    C

    1

    D

    0

    Reveal answer
68. 68

    NUST Engineering Past Paper-15

    What is the equation of the line whose slope is undefined and which passes through the origin?

    A

    B

    C

    D

    Reveal answer
69. 69

    NUST Engineering Past Paper-15

    Let , , and the universal set . Find .

    A

    B

    C

    D

    Reveal answer
70. 70

    NUST Engineering Past Paper-15

    If and , find .

    A

    B

    C

    D

    None of these

    Reveal answer
71. 71

    NUST Engineering Past Paper-15

    Find the maximum value of .

    A

    3

    B

    1

    C

    2

    D

    0

    Reveal answer
72. 72

    NUST Engineering Past Paper-15

    Consider the ellipse . Which of the following statements is correct?

    A

    Latus rectum

    B

    None

    C

    Major axis is on the -axis

    D

    Reveal answer
73. 73

    NUST Engineering Past Paper-15

    Find the value of in at which attains its maximum.

    A

    B

    C

    D

    None of these

    Reveal answer
74. 74

    NUST Engineering Past Paper-15

    Let , , . Find .

    A

    343

    B

    216

    C

    125

    D

    None of these

    Reveal answer
75. 75

    NUST Engineering Past Paper-15

    How many partial-fraction terms appear in the decomposition of ?

    A

    1

    B

    3

    C

    2

    D

    None

    Reveal answer
76. 76

    NUST Engineering Past Paper-15

    The probability that any given egg in a tray is defective is . If a vendor packs trays containing a total of eggs, how many defective eggs is he expected to have?

    A

    8

    B

    4

    C

    12

    D

    Reveal answer
77. 77

    NUST Engineering Past Paper-15

    Classify the triangle whose vertices are , , and .

    A

    None

    B

    Isosceles triangle

    C

    Right triangle

    D

    Oblique triangle

    Reveal answer
78. 78

    NUST Engineering Past Paper-15

    Find the arithmetic mean of and .

    A

    9

    B

    C

    77

    D

    None of these

    Reveal answer
79. 79

    NUST Engineering Past Paper-15

    Evaluate .

    A

    B

    C

    D

    Reveal answer
80. 80

    NUST Engineering Past Paper-15

    Evaluate .

    A

    0

    B

    1

    C

    D

    None of these

    Reveal answer
81. 81

    NUST Engineering Past Paper-15

    Compute .

    A

    B

    C

    D

    None of these

    Reveal answer
82. 82

    NUST Engineering Past Paper-15

    Compute .

    A

    B

    C

    D

    None of these

    Reveal answer
83. 83

    NUST Engineering Past Paper-15

    Find the centre of the circle .

    A

    B

    C

    D

    Reveal answer
84. 84

    NUST Engineering Past Paper-15

    If , the function (up to constant) is:

    A

    B

    C

    D

    None of these

    Reveal answer
85. 85

    NUST Engineering Past Paper-15

    Find a closed-form -th term for the sequence .

    A

    B

    C

    D

    None of these

    Reveal answer
86. 86

    NUST Engineering Past Paper-15

    If , find .

    A

    B

    C

    D

    None of these

    Reveal answer
87. 87

    NUST Engineering Past Paper-15

    Find given , , .

    A

    B

    C

    D

    None of these

    Reveal answer
88. 88

    NUST Engineering Past Paper-15

    Two fair dice are rolled. Find the probability that the sum is at least .

    A

    B

    C

    D

    None of these

    Reveal answer
89. 89

    NUST Engineering Past Paper-15

    Two coins and are flipped together repeatedly. lands heads with probability and lands heads with probability (both fair-ish with the same ). What is the expected number of flips until both land heads on the same trial?

    A

    None

    B

    3

    C

    2

    D

    1

    Reveal answer
90. 90

    NUST Engineering Past Paper-15

    What is the range of the secant function ?

    A

    B

    None

    C

    D

    Reveal answer
91. 91

    NUST Engineering Past Paper-15

    For a quadratic (with rational coefficients), what is the condition on the discriminant for the roots to be real but irrational?

    A

    B

    None

    C

    and a perfect square

    D

    Reveal answer
92. 92

    NUST Engineering Past Paper-15

    Find the value of for which the matrix is symmetric.

    A

    B

    3

    C

    1

    D

    None of these

    Reveal answer
93. 93

    NUST Engineering Past Paper-15

    Which of the following half-angle formulas correctly expresses for in the first quadrant?

    A

    B

    C

    None

    D

    Reveal answer
94. 94

    NUST Engineering Past Paper-15

    Find a value of (principal interpretation).

    A

    None of these

    B

    C

    D

    Reveal answer
95. 95

    NUST Engineering Past Paper-15

    If (with acute), find .

    A

    B

    C

    None of these

    D

    Reveal answer
96. 96

    NUST Engineering Past Paper-15

    In the binomial expansion of , identify the term.

    A

    B

    C

    D

    Reveal answer
97. 97

    NUST Engineering Past Paper-15

    Evaluate .

    A

    B

    C

    D

    Reveal answer
98. 98

    NUST Engineering Past Paper-15

    Fill in the blank with the most idiomatic phrase: 'Who ___ would like to buy such a haunted house?'

    A

    In the world

    B

    In heaven

    C

    Under the sun

    D

    On earth

    Reveal answer
99. 99

    NUST Engineering Past Paper-15

    Pick the option that best captures the meaning of the verb 'Belie':

    A

    To believe strongly in an idea

    B

    To give a false impression of something

    C

    To lie down and rest

    D

    To confirm the truth of something

    Reveal answer
100. 100

     NUST Engineering Past Paper-15

     Choose the word closest in meaning to the verb 'simulate':

     A

     Enhance

     B

     Ignore

     C

     Destroy

     D

     Imitate

     Reveal answer
101. 101

     NUST Engineering Past Paper-15

     Pick the word closest in meaning to 'Abomination':

     A

     Virtue

     B

     Delight

     C

     Atrocity

     D

     Blessing

     Reveal answer
102. 102

     NUST Engineering Past Paper-15

     Pick the word closest in meaning to 'Abate':

     A

     Provoke

     B

     Amplify

     C

     Intensify

     D

     Subside

     Reveal answer
103. 103

     NUST Engineering Past Paper-15

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

     A

     Hostile

     B

     Caustic

     C

     Rancorous

     D

     Cordial

     Reveal answer
104. 104

     NUST Engineering Past Paper-15

     Pick the word closest in meaning to 'Agog':

     A

     Reluctant

     B

     Indifferent

     C

     Eager

     D

     Bored

     Reveal answer
105. 105

     NUST Engineering Past Paper-15

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

     A

     Confusing

     B

     Baffling

     C

     Enlightening

     D

     Puzzling

     Reveal answer
106. 106

     NUST Engineering Past Paper-15

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

     A

     Evasive

     B

     Open

     C

     Honest

     D

     Sincere

     Reveal answer
107. 107

     NUST Engineering Past Paper-15

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

     A

     Notorious

     B

     Heinous

     C

     Atrocious

     D

     Admirable

     Reveal answer
108. 108

     NUST Engineering Past Paper-15

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

     A

     Vivid

     B

     Stirring

     C

     Reminiscent

     D

     Bland

     Reveal answer
109. 109

     NUST Engineering Past Paper-15

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

     A

     Nomad

     B

     Alien

     C

     Migrant

     D

     Native

     Reveal answer
110. 110

     NUST Engineering Past Paper-15

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

     A

     Fashion

     B

     Tradition

     C

     Mania

     D

     Trend

     Reveal answer
111. 111

     NUST Engineering Past Paper-15

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

     A

     Gentle

     B

     Savage

     C

     Intense

     D

     Violent

     Reveal answer
112. 112

     NUST Engineering Past Paper-15

     Pick the option that best defines 'Impecunious':

     A

     Careless with money

     B

     Moderately comfortable financially

     C

     Extremely wealthy

     D

     Having very little or no money

     Reveal answer
113. 113

     NUST Engineering Past Paper-15

     Pick the word closest in meaning to 'Mischievous':

     A

     Impish

     B

     Well-behaved

     C

     Obedient

     D

     Angelic

     Reveal answer
114. 114

     NUST Engineering Past Paper-15

     Pick the option that best defines 'Nadir':

     A

     A state of complete balance

     B

     The beginning of a process

     C

     The highest point of something

     D

     The lowest point in a situation

     Reveal answer
115. 115

     NUST Engineering Past Paper-15

     Pick the option that best defines 'Nefarious':

     A

     Famous and widely respected

     B

     Overly cautious

     C

     Wicked or criminal in nature

     D

     Timid and inactive

     Reveal answer
116. 116

     NUST Engineering Past Paper-15

     Pick the option that best defines 'Onerous':

     A

     Simple and pleasant to deal with

     B

     Light and effortless

     C

     Inspiring and uplifting

     D

     Involving a great deal of effort, trouble, or difficulty

     Reveal answer
117. 117

     NUST Engineering Past Paper-15

     Pick the option that best defines 'Premeditated':

     A

     Done in a state of panic

     B

     Done spontaneously without thinking

     C

     Carried out with regret

     D

     Planned or thought out beforehand

     Reveal answer
118. 118

     NUST Engineering Past Paper-15

     Pick the option that best defines 'Submissive':

     A

     Ready to conform to the authority of others

     B

     Independent and self-willed

     C

     Loudly defiant

     D

     Assertive and dominant

     Reveal answer
119. 119

     NUST Engineering Past Paper-12 NUST Engineering Past Paper-15

     Pick the word closest in meaning to 'Transient':

     A

     Constant

     B

     Eternal

     C

     Temporary

     D

     Permanent

     Reveal answer
120. 120

     NUST Engineering Past Paper-15

     Pick the word closest in meaning to 'Undignified':

     A

     Graceful

     B

     Noble

     C

     Demeaning

     D

     Stately

     Reveal answer
121. 121

     NUST Engineering Past Paper-15

     Pick the option that best defines 'Sensitive':

     A

     Completely unaware of others' feelings

     B

     Indifferent to pain or emotions

     C

     Deliberately insensitive

     D

     Quick to detect or respond to impressions; easily affected

     Reveal answer
122. 122

     NUST Engineering Past Paper-15

     Pick the synonym of the adjective ROBUST.

     A

     Limp

     B

     Stout

     C

     Assiduous

     D

     Wealthy

     Reveal answer
123. 123

     NUST Engineering Past Paper-15

     Pick the antonym of the adjective DESTITUTE.

     A

     Indigent

     B

     Diffident

     C

     Affluent

     D

     Needy

     Reveal answer
124. 124

     NUST Engineering Past Paper-15

     Complete the analogy: Fear is to Phobia as Spider is to ___.

     A

     Creepy

     B

     Web

     C

     Arachnid

     D

     Insect

     Reveal answer
125. 125

     NUST Engineering Past Paper-15

     Pick the synonym of the adjective AESTHETIC.

     A

     Ascetic

     B

     Inartistic

     C

     Gorgeous

     D

     Artless

     Reveal answer
126. 126

     NUST Engineering Past Paper-15

     Pick the antonym of the adjective GENIAL.

     A

     Affable

     B

     Fundamental

     C

     Amiable

     D

     Inhospitable

     Reveal answer
127. 127

     NUST Engineering Past Paper-15

     Pick the antonym of the adjective IMPERATIVE.

     A

     Coercive

     B

     Chosen

     C

     Indolent

     D

     Involuntary

     Reveal answer
128. 128

     NUST Engineering Past Paper-15

     Complete the analogy: ? is to Trail as Grain is to Grail.

     A

     Grapes

     B

     Grain

     C

     Train

     D

     Series

     Reveal answer
129. 129

     NUST Engineering Past Paper-15

     Identify the characteristic behaviour of an ICONOCLAST.

     A

     Attacks cherished beliefs

     B

     Maintains status quo

     C

     Follows conventions

     D

     Supports traditions

     Reveal answer
130. 130

     NUST Engineering Past Paper-15

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

     A

     Luxurious

     B

     Extravagant

     C

     Indulgent

     D

     Self-denying

     Reveal answer
131. 131

     NUST Engineering Past Paper-15

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

     A

     Happy

     B

     Complaining

     C

     Satisfied

     D

     Content

     Reveal answer
132. 132

     NUST Engineering Past Paper-15

     Identify what is meant by LACONIC speech.

     A

     Detailed

     B

     Lengthy

     C

     Brief

     D

     Verbose

     Reveal answer
133. 133

     NUST Engineering Past Paper-15

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

     A

     Delaying

     B

     Immediate

     C

     Quick

     D

     Prompt

     Reveal answer
134. 134

     NUST Engineering Past Paper-15

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

     A

     Sloppy

     B

     Indifferent

     C

     Careless

     D

     Very particular

     Reveal answer
135. 135

     NUST Engineering Past Paper-15

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

     A

     Careful

     B

     Thrifty

     C

     Wasteful

     D

     Economical

     Reveal answer
136. 136

     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
137. 137

     NUST Engineering Past Paper-15

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

     A

     Stubborn

     B

     Obedient

     C

     Cooperative

     D

     Compliant

     Reveal answer
138. 138

     NUST Engineering Past Paper-15

     Which of the following pairs of quantities have the same physical dimensions?

     A

     All of these

     B

     Pressure, Modulus of Elasticity

     C

     Pressure, Energy Density

     D

     Stress, Modulus of Elasticity

     Reveal answer
139. 139

     NUST Engineering Past Paper-15

     What is the SI unit of gravitational potential?

     A

     kg/J

     B

     J/kg

     C

     J/kg

     D

     J/kg

     Reveal answer
140. 140

     NUST Engineering Past Paper-15

     The mass of a body is measured with a relative uncertainty and its velocity with a relative uncertainty. Find the percentage uncertainty in the body's kinetic energy.

     A

     11%

     B

     7%

     C

     10%

     D

     6%

     Reveal answer
141. 141

     NUST Engineering Past Paper-15

     If , what is the angle between the two non-zero vectors and ?

     A

     B

     C

     D

     Reveal answer
142. 142

     NUST Engineering Past Paper-15

     Convert into CGS units.

     A

     g cm s

     B

     g cm s

     C

     g cm s

     D

     g cm s

     Reveal answer
143. 143

     NUST Engineering Past Paper-15

     For a body falling freely under gravity, the rate of change of its momentum is equal to which of the following?

     A

     Impulse

     B

     Power

     C

     KE

     D

     Weight

     Reveal answer
144. 144

     NUST Engineering Past Paper-15

     Four projectiles are launched with the same initial speed at angles , , and above the horizontal. Which projectile attains the greatest horizontal range?

     A

     B

     C

     D

     Reveal answer
145. 145

     NUST Engineering Past Paper-15

     In three-dimensional space, how many components can a single vector be resolved into?

     A

     Infinite

     B

     3

     C

     4

     D

     2

     Reveal answer
146. 146

     NUST Engineering Past Paper-15

     A horizontal force of N pushes a body moving at constant velocity over a distance of m. If the body remains in equilibrium, find the work done by friction.

     A

     J

     B

     J

     C

     J

     D

     Cannot be predicted

     Reveal answer
147. 147

     NUST Engineering Past Paper-15

     In the formula for the fundamental frequency of a stretched string, , what is the SI unit of ?

     A

     kg m

     B

     kg m

     C

     kg

     D

     kg m

     Reveal answer
148. 148

     NUST Engineering Past Paper-15

     How does the viscosity of hydrogen gas vary when its temperature is raised?

     A

     Decreases

     B

     Vanishes

     C

     Remains Constant

     D

     Increases

     Reveal answer
149. 149

     NUST Engineering Past Paper-15

     A flywheel, initially at rest, reaches a rotational speed of rpm in seconds under constant angular acceleration. Find that acceleration.

     A

     rad s

     B

     rad s

     C

     rad s

     D

     rad s

     Reveal answer
150. 150

     NUST Engineering Past Paper-15

     A person jumps off a tall building while carrying a heavy load on his head. What apparent weight does the load exert on his head during the fall (before he hits the ground)?

     A

     Zero

     B

     C

     D

     Reveal answer
151. 151

     NUST Engineering Past Paper-15

     A rectangular container with a base of cm cm holds kg of water. Find the pressure the water exerts on the bottom. (Use m/s.)

     A

     3920 Pa

     B

     9800 Pa

     C

     1 atmosphere

     D

     Pa

     Reveal answer
152. 152

     NUST Engineering Past Paper-15

     A solid sphere falling through air attains a terminal velocity of m/s. If the same sphere were released in vacuum, what would happen to its terminal velocity?

     A

     Terminal velocity will be m/s

     B

     Terminal velocity will be less than m/s

     C

     There will be no terminal velocity

     D

     Terminal velocity will be more than m/s

     Reveal answer
153. 153

     NUST Engineering Past Paper-15

     A vertical mass-spring system on Earth has period , where is the static stretch of the spring under the hanging mass. How does the period change on Mars (where gravity is about )?

     A

     Can't be predicted

     B

     C

     D

     Reveal answer
154. 154

     NUST Engineering Past Paper-15

     If a seconds pendulum is taken to the centre of the Earth, what happens to its frequency?

     A

     B

     Infinite

     C

     D

     Remains same

     Reveal answer
155. 155

     NUST Engineering Past Paper-15

     Two waves have intensities in the ratio . Find the ratio of their amplitudes.

     A

     3:1

     B

     1:3

     C

     9:1

     D

     1:9

     Reveal answer
156. 156

     NUST Engineering Past Paper-15

     If the speed of sound in air is m/s, find the fundamental frequency of a closed pipe (one end open) of length cm.

     A

     212.5 Hz

     B

     425 Hz

     C

     170 Hz

     D

     85 Hz

     Reveal answer
157. 157

     NUST Engineering Past Paper-15

     A person runs straight toward a plane mirror at a speed of m/s. What is the speed of his image relative to him?

     A

     6 m/s

     B

     3 m/s

     C

     12 m/s

     D

     9 m/s

     Reveal answer
158. 158

     NUST Engineering Past Paper-15

     A person standing outside a room can hear voices from inside without being able to see the speakers. Which wave phenomenon explains this?

     A

     Diffraction

     B

     Scattering

     C

     Interference

     D

     Polarization

     Reveal answer
159. 159

     NUST Engineering Past Paper-15

     For the items below, pick the row whose distances all match correctly. (consecutive nodes | consecutive crests in a travelling wave | adjacent crest and trough | adjacent node and antinode in a standing wave)

     A

     | | |

     B

     | | |

     C

     | | |

     D

     | | |

     Reveal answer
160. 160

     NUST Engineering Past Paper-15

     In Young's double-slit experiment, the slit separation is halved. To keep the same fringe spacing on the screen, the slit-to-screen distance must be changed to:

     A

     B

     C

     D

     Reveal answer
161. 161

     NUST Engineering Past Paper-15

     What colour would the sky appear from the Earth's surface if the planet had no atmosphere?

     A

     Black

     B

     Blue

     C

     Red

     D

     Orange

     Reveal answer
162. 162

     NUST Engineering Past Paper-15

     In Young's double-slit interference experiment, which is the essential condition on the two interfering light beams?

     A

     Be exactly parallel

     B

     Have exactly equal intensity

     C

     Come originally from the same source

     D

     Travel equal distances

     Reveal answer
163. 163

     NUST Engineering Past Paper-15

     Two thin convex lenses of focal lengths and are placed in contact. Find their combined (equivalent) focal length .

     A

     B

     C

     D

     Reveal answer
164. 164

     NUST Engineering Past Paper-15

     What is the average translational kinetic energy per molecule of an ideal gas at absolute temperature ?

     A

     B

     C

     D

     Reveal answer
165. 165

     NUST Engineering Past Paper-15

     At C an ideal gas has some kinetic energy . At what Celsius temperature will its molecules have three times this kinetic energy?

     A

     C

     B

     C

     C

     C

     D

     C

     Reveal answer
166. 166

     NUST Engineering Past Paper-15

     An ideal gas's temperature is raised from K to K. If the rms speed of its molecules at K is , what is it at K?

     A

     B

     C

     D

     Reveal answer
167. 167

     NUST Engineering Past Paper-15

     Two charged spheres of opposite sign, A and B, are placed (one at a time) near a third sphere C. Both A and B attract C. What can be inferred about C's electrical state?

     A

     Electrically neutral

     B

     Positively charged

     C

     Negatively charged

     D

     Contain any charge at a time

     Reveal answer
168. 168

     NUST Engineering Past Paper-15

     How many electrons make up a total charge of coulomb?

     A

     B

     C

     D

     Reveal answer
169. 169

     NUST Engineering Past Paper-15

     A point charge is placed at the centre of a sphere of radius . On what does the electric flux through the surface of the sphere depend?

     A

     Surface area of sphere

     B

     Charge outside sphere

     C

     Quantity of charge inside sphere

     D

     Radius of sphere

     Reveal answer
170. 170

     NUST Engineering Past Paper-15

     A current of A flows through a conducting wire for half an hour. How much electric charge passes through any cross-section of the wire during this time?

     A

     3600 C

     B

     5400 C

     C

     1800 C

     D

     7200 C

     Reveal answer
171. 171

     NUST Engineering Past Paper-15

     Why are domestic electrical appliances wired in parallel between the line and the neutral wire?

     A

     To control current

     B

     Same voltage

     C

     Different voltage

     D

     Same current

     Reveal answer
172. 172

     NUST Engineering Past Paper-15

     A charge moves with speed m/s perpendicular to a uniform magnetic field . Find the magnitude of the magnetic force on the charge.

     A

     B

     C

     D

     Reveal answer
173. 173

     NUST Engineering Past Paper-15

     An electron enters a uniform magnetic field with its velocity perpendicular to . Which of the following statements are true?

     A

     All of these

     B

     It will have no angular acceleration

     C

     Its K.E will remain same

     D

     There will be no torque in it

     Reveal answer
174. 174

     NUST Engineering Past Paper-15

     An inductor stores J of energy when carrying a current of A. Find the self-inductance of the coil.

     A

     200 H

     B

     100 H

     C

     40 H

     D

     20 H

     Reveal answer
175. 175

     NUST Engineering Past Paper-15

     A long straight current-carrying wire produces a magnetic field of T at a perpendicular distance . What is the field at a distance from the wire?

     A

     0.2 T

     B

     0.3 T

     C

     1.2 T

     D

     1.8 T

     Reveal answer
176. 176

     NUST Engineering Past Paper-15

     Which of the following expressions correctly gives the power dissipated in a resistor (with current , voltage across it, and resistance )?

     A

     B

     C

     All of these

     D

     Reveal answer
177. 177

     NUST Engineering Past Paper-15

     Which property of a material describes its ability to return to its original shape after the deforming force is removed?

     A

     Rigidity

     B

     Flexibility

     C

     Elasticity

     D

     Plasticity

     Reveal answer
178. 178

     NUST Engineering Past Paper-15

     Under which of the following conditions do magnetic materials typically lose their ferromagnetic behaviour?

     A

     Dipped in water

     B

     Strongly heated

     C

     All of these

     D

     Dipped in oil

     Reveal answer
179. 179

     NUST Engineering Past Paper-15

     In a purely capacitive AC circuit, what is the phase relationship between current and applied voltage?

     A

     Lags behind the voltage by or

     B

     Lags behind the voltage by (or )

     C

     Leads the voltage by (or )

     D

     Leads the voltage by or

     Reveal answer
180. 180

     NUST Engineering Past Paper-15

     At what range of frequencies does a capacitor effectively behave like an ordinary wire (a short circuit)?

     A

     Intermediate frequency

     B

     Low frequency

     C

     Not possible

     D

     High frequency

     Reveal answer
181. 181

     NUST Engineering Past Paper-15

     Write the standard expression for the voltage gain of a non-inverting op-amp amplifier with input resistor and feedback resistor .

     A

     B

     C

     D

     Reveal answer
182. 182

     NUST Engineering Past Paper-15

     What name is given to the reciprocal of the bulk modulus of a substance?

     A

     Shear modulus

     B

     Compressibility

     C

     Elasticity

     D

     Young's modulus

     Reveal answer
183. 183

     NUST Engineering Past Paper-15

     Find the speed at which the relativistic length of a moving rod is observed to be one-third of its proper length .

     A

     B

     C

     D

     Reveal answer
184. 184

     NUST Engineering Past Paper-15

     In a junction diode, the P-side is held at V and the N-side is earthed (at V). What is the diode's behaviour?

     A

     Partially conduct

     B

     Break down

     C

     Conduct

     D

     Not conduct

     Reveal answer
185. 185

     NUST Engineering Past Paper-15

     In a silicon P-N junction, which transport mechanism dominates the current under forward bias, and which under reverse bias?

     A

     Diffusion in forward bias, drift in reverse bias

     B

     Drift in both forward and reverse bias

     C

     Drift in forward bias, diffusion in reverse bias

     D

     Diffusion in both forward and reverse bias

     Reveal answer
186. 186

     NUST Engineering Past Paper-15

     According to special relativity, what happens to the (relativistic) mass of a material object as its speed approaches the speed of light?

     A

     Very large

     B

     Zero

     C

     Very small

     D

     Infinity

     Reveal answer
187. 187

     NUST Engineering Past Paper-15

     If the wavelength of light shining on a metal is increased (frequency decreased) — but kept above threshold — what happens to the maximum speed of the ejected photoelectrons?

     A

     Remains unchanged

     B

     More

     C

     Zero

     D

     Less

     Reveal answer
188. 188

     NUST Engineering Past Paper-15

     What is the approximate radius of the first Bohr orbit of the hydrogen atom?

     A

     nm

     B

     mm

     C

     m

     D

     m

     Reveal answer
189. 189

     NUST Engineering Past Paper-15

     The lowest metastable energy state of a helium atom (responsible for laser action in the He-Ne laser) lies approximately how many electron volts above the ground state?

     A

     eV

     B

     eV

     C

     eV

     D

     eV

     Reveal answer
190. 190

     NUST Engineering Past Paper-15

     An atomic nucleus contains protons and neutrons. Express this nuclide in the standard notation.

     A

     B

     C

     D

     Reveal answer
191. 191

     NUST Engineering Past Paper-15

     Which of the following is NOT a typical product of natural radioactive decay?

     A

     Electrons

     B

     -rays

     C

     Protons

     D

     Helium nuclei

     Reveal answer
192. 192

     NUST Engineering Past Paper-15

     A bismuth nucleus emits a -particle to become polonium; the polonium then emits an -particle to become Pb. In the chain Bi Po Pb, find the mass numbers and .

     A

     B

     C

     D

     Reveal answer
193. 193

     NUST Engineering Past Paper-15

     A particle is displaced from to under the action of a constant force . Find the work done.

     A

     18

     B

     C

     8

     D

     None of these

     Reveal answer
194. 194

     NUST Engineering Past Paper-15

     An ideal transformer can step up several electrical quantities. Identify the one that a transformer CANNOT step up.

     A

     Power

     B

     Current

     C

     Voltage

     D

     Inductance

     Reveal answer
195. 195

     NUST Engineering Past Paper-15

     When a capacitor is charged, in which form is the stored energy held?

     A

     Magnetic field

     B

     Electric field

     C

     Both electric and magnetic fields

     D

     Neither

     Reveal answer
196. 196

     NUST Engineering Past Paper-15

     Identify the dimensional formula for WORK.

     A

     B

     C

     D

     Reveal answer
197. 197

     NUST Engineering Past Paper-15

     Identify the dimensional formula for ENERGY.

     A

     B

     C

     D

     Reveal answer
198. 198

     NUST Engineering Past Paper-15

     Determine the dimensional formula of the rotational kinetic energy (with the moment of inertia and the angular velocity).

     A

     B

     C

     D

     Reveal answer
199. 199

     NUST Engineering Past Paper-15

     Identify the physicist who coined the term PHOTON for the quantum of light.

     A

     Albert Einstein

     B

     Niels Bohr

     C

     Max Planck

     D

     G. N. Lewis

     Reveal answer