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Physics
UTME / JAMB 2011
Scalars, Vectors & Relative Motion
Diagram
Solution
The diagram above shows two vectors at right angles to each other. The value of the resultant vector is
Attached Figure / Diagram
A
14.0 N
B
10.0 N
C
12.0 N
D
13.0 N
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
The resultant, R is given by pythagoras rule, R2 = P2 + Q2
= 62 + 82 = 36 + 64 = 100
R = √100 = 10.0N
Source: Myschool Past Questions Archive (Record #14521)
Physics
UTME / JAMB 2011
Equilibrium of Forces, Moments & Flotation
Diagram
Solution
The diagram above show the positions of a cone. The position which can be described as neutral equilibrium is represented as
Attached Figure / Diagram
A
Z only
B
X only
C
Y and Z
D
Y and X
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Under neutral equilibrium, the body rolls and the position of the center of gravity , C. G is neither raised nor lowered
Source: Myschool Past Questions Archive (Record #14523)
Physics
UTME / JAMB 2011
Electrostatics & Capacitors
Solution
The correct expression for the potential at a point distance r from a charge q in an electric field is?
A
_q24πεor2
B
_q24πεor
C
_q4πεor2
D
\(\frac{q}{4πε_or}\)
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Electric potential is work done in taking a unit mass or charge from infinity to that point
V = \(\frac{\text{W}}{\text{Q}}\) = \(\frac{\text{Fr}}{\text{Q}}\) = \(\frac{Q_1Q_2}{4\piεor^2}\) x \(\frac{\text{r}}{Q_1}\)
= \(\frac{- q}{4\piεor}\)
Source: Myschool Past Questions Archive (Record #14526)
Physics
UTME / JAMB 2011
Lenses & Optical Instruments
Solution
An image in a convex lens is upright and magnified 3 times. If the focal length of the lens is 15 cm, what is the object distance?
A
10 cm
B
25 cm
C
16 cm
D
14 cm
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
m = v/u = -3
v = -3u
f = 15cm
1/v + 1/U = 1/f
1/-3U + 1/u = 1/15
2/3u = 1/15
3U = 15 x 2
U = 30/3
= 10 cm
Source: Myschool Past Questions Archive (Record #14531)
Physics
UTME / JAMB 2011
Current Electricity & Electric Circuits
Solution
A length of wire has a frequency of 225Hz when stretched by a force of 225N. If the force increased to 324N, what is the new frequency of vibration?
A
270 Hz
B
512 Hz
C
488 Hz
D
356 Hz
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
f1 = 225Hz, T1 = 225N
f2 = ? T2 = 324N
But f ∝ \sqrtT => f = K\sqrtT
=> K = f/\sqrtT
∴ f1/\sqrtT1 = f2/\sqrtT2
225/\sqrt225 = f2/\sqrt324
f2 =
225\sqrt324
\sqrt225
f2 = 270Hz
Source: Myschool Past Questions Archive (Record #14536)
Physics
UTME / JAMB 2011
Current Electricity & Electric Circuits
Diagram
Solution
In the circuit above, three resistors, 2\Omega, 4\Omega and 12\Omega are connected in parallel and a 12V battery is connected across the combination. The current flowing through the 12\Omega resistors is
Attached Figure / Diagram
A
14.4 A
B
1.0 A
C
3.2 A
D
9.6 A
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
I = \(\frac{V}{R}\) from Ohm's law
I = \(\frac{12}{12}\) = 1A.
Source: Myschool Past Questions Archive (Record #14552)
English Language
UTME / JAMB 2011
Reading Comprehension, Summary & Composition
Solution
Which of the following represents the writer's view in the passage?
A
Evil thoughts may come but there is virtue in keeping them out
B
Evil thoughts will continue to stings us likes vipers as long as there are enemies who cause offence
C
Like the pendulum, evil thoughts will always come to our minds no matter what we do
D
Like most birds, evil thoughts fly swiftly in our minds without perching
medium Difficulty
Verified Correct Answer: Option A
Grammar & Contextual Explanation
According to the writer, it is possible to be in charge of your thoughts by shutting down evil thoughts whenever it creeps into the mind.
Source: Myschool Past Questions Archive (Record #15359)
English Language
UTME / JAMB 2011
Lexis, Structure & Register (Cloze & Vocabulary)
Solution
From the argument in the second paragraph, it can be concluded that evil thoughts control the lives of people who
A
are helpless because they fly out of their minds
B
cherish idle and slothful ways
C
are thieves with evil instincts
D
treasure and ruminate on them
medium Difficulty
Verified Correct Answer: Option D
Grammar & Contextual Explanation
Evil thoughts control the minds of people who open their doors to it or those who constantly imagine and meditate on it.
Source: Myschool Past Questions Archive (Record #15361)
English Language
UTME / JAMB 2011
Reading Comprehension, Summary & Composition
Solution
The expression Think of the devil and he will appear... as used in the passage, suggest that
A
like the devil thoughts must not reign in our hearts
B
evil thoughts are fantasies which exist only in people's mind
C
uncontrolled evil thoughts may lead to evil deeds
D
the devil gives evil thoughts only to those who invite him in
medium Difficulty
Verified Correct Answer: Option C
Grammar & Contextual Explanation
This suggest that, if we give more importance to evil thoughts, we will eventually act on them.
Source: Myschool Past Questions Archive (Record #15362)
English Language
UTME / JAMB 2011
Lexis, Structure & Register (Cloze & Vocabulary)
Solution
Which of the following statements summarizes the argument of the last paragraph?
A
Heavy traffic on a miry and dirty road may lead to evil thoughts
B
The more evil we think, the more vile we are likely to become
C
Evil people should not be welcomed as guets in our homes the same way as we welcome good people
D
Evil thought control the key to the human heart and no one can keep them out.
medium Difficulty
Verified Correct Answer: Option B
Grammar & Contextual Explanation
According to the last paragraph, our every day thoughts and imaginations needs to be watched and controlled so we dnt start acting on them.
Source: Myschool Past Questions Archive (Record #15363)
English Language
UTME / JAMB 2011
Reading Comprehension, Summary & Composition
A suitable title for the passage is
A
Energy from Living Things
B
Electricity and Living Creatures
C
Biocell and Scientific Discoveries
D
The Biocell's Future
medium Difficulty
Verified Correct Answer: Option D
Grammar & Contextual Explanation
No expanded working has been attached for this question yet. The verified answer is Option D.
Source: Myschool Past Questions Archive (Record #15364)
English Language
UTME / JAMB 2011
Reading Comprehension, Summary & Composition
Solution
The writer's posture, as conveyed in the statement Electricity from living cells is no new idea, can be described as
A
ineffectual
B
contentious
C
logical
D
unguarded
medium Difficulty
Verified Correct Answer: Option A
Grammar & Contextual Explanation
Ineffectual; not producing any significant or desired effect.
Source: Myschool Past Questions Archive (Record #15365)
English Language
UTME / JAMB 2011
Question Tags, Modals & Pronouns
Solution
The inventors of biocell justified the need for it by saying that it would
A
develop ways for changing biocells into fuel for use
B
yield a source of energy without much spending
C
produce electricity for all types of machines
D
produce signals to guid all ships and other vessels
medium Difficulty
Verified Correct Answer: Option B
Grammar & Contextual Explanation
Biocell will use materials that would otherwise be considered a waste. This means less spending
Source: Myschool Past Questions Archive (Record #15367)
English Language
UTME / JAMB 2011
Reading Comprehension, Summary & Composition
Solution
According to the passage, electricity was first discovered in
A
hearts and brains
B
muscles of animals
C
lightening
D
fish
medium Difficulty
Verified Correct Answer: Option D
Grammar & Contextual Explanation
The correct answer is “fish.” The passage clearly states that man experienced the strange ‘shock’ produced by some fish even before electricity was really discovered. This indicates that the earliest awareness or “discovery” of electricity came from observing electric fish.
Source: Myschool Past Questions Archive (Record #15368)
English Language
UTME / JAMB 2011
Lexis, Structure & Register (Cloze & Vocabulary)
Solution
In question number 16 above, choose the best option from letters A - D that best completes the gap.
A
well-defined
B
fast-paced
C
favourable
D
social
medium Difficulty
Verified Correct Answer: Option B
Grammar & Contextual Explanation
Fast-paced; moving or developing very quickly.
Source: Myschool Past Questions Archive (Record #15369)