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English Language
UTME / JAMB 1993
Question Tags, Modals & Pronouns
Solution
In the question below, fill the gap with the most appropriate option:
The journalist's unpopular views made him the subject of much ....
A
admiration
B
derision
C
admonition
D
suspicion
medium Difficulty
Verified Correct Answer: Option B
Grammar & Contextual Explanation
The sentence refers to the journalist’s unpopular views, making him a subject of something. Since the views are described as unpopular, the likely response from others would be mockery or ridicule.
Source: Myschool Past Questions Archive (Record #7174)
English Language
UTME / JAMB 1993
Lexis, Structure & Register (Cloze & Vocabulary)
Solution
In the question below, fill the gap with the most appropriate option:
Idubor has gone to see his mechanic because his car engine needs to be turned
A
in
B
off
C
up
D
on
medium Difficulty
Verified Correct Answer: Option D
Grammar & Contextual Explanation
Turned on; for something to be switched-on
Source: Myschool Past Questions Archive (Record #7175)
English Language
UTME / JAMB 1993
Lexis, Structure & Register (Cloze & Vocabulary)
In the question below, fill the gap with the most appropriate option:
I was anxious to arrive early for the lecture that i .... my note in the car
A
forgot
B
left
C
dropped
D
abandoned
medium Difficulty
Verified Correct Answer: Option B
Grammar & Contextual Explanation
No expanded working has been attached for this question yet. The verified answer is Option B.
Source: Myschool Past Questions Archive (Record #7176)
English Language
UTME / JAMB 1993
Concord (Subject-Verb Agreement)
Solution
In the question below, fill the gap with the most appropriate option:
Good schools don't just teach their students they ....
A
inform
B
instruct
C
educate
D
coach
medium Difficulty
Verified Correct Answer: Option C
Grammar & Contextual Explanation
The sentence is making a contrast between mere teaching and holistic development. Inform means to give facts or information only. That’s too limited for what good schools do. Instruct means to give directions or formal teaching, often focused on procedures. Coach suggests training for a specific skill, often in sports or performance contexts. Educate, however, goes beyond passing on information or instructions. It involves developing the learner intellectually, morally and socially.
Source: Myschool Past Questions Archive (Record #7177)
Physics
UTME / JAMB 1993
Electrostatics & Capacitors
Solution
In the network shown above, determine the potential difference across the 5µF capacitor
A
3V
B
6V
C
12V
D
18V
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
For capacitors in series
C\(_{\text{eq}} = \frac{C_1 C_2}{C_1 + C_2}\)
C\(_{\text{eq}} = \frac{5 \times 15}{5 + 15} = \frac{75}{20}\) = 3.75μF
Charge on the series branch
Q = Ceq \times V =3.75 \times 24 = 90 μC.
Potential difference across the 5 µF capacitor
V\(_{5} = \frac{Q}{C} = \frac{90}{5}\) = 18 V
Source: Official Exam / Past Question Archive
Physics
UTME / JAMB 1993
Current Electricity & Electric Circuits
Which of the following quantities has the same unit as the watt?
A
Force x time
B
Force x distance
C
Force x acceleration
D
Force x velocity
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option D.
Source: Myschool Past Questions Archive (Record #27945)
Physics
UTME / JAMB 1993
Current Electricity & Electric Circuits
Solution
The external and internal diameter of a tube are measured as (32 \pm 2)mm and (21 \pm 1)mm respectively. Determine the percentage error in the thickness of the tube.
A
27%
B
14%
C
9%
D
3%
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
The thickness of the tube is given by:
thickness = (external diameter − internal diameter) / 2
= (32 − 21) / 2
= 11 / 2
= 5.5 mm
Let t = thickness = \(\frac{(D − d)}{2}\), where D = external diameter and d = internal diameter.
The absolute error in thickness is found using the rules for propagation of errors (for subtraction and division by a constant):
\Deltat = \(\frac{(\DeltaD + \Deltad)}{2}\)
= \(\frac{(2 + 1)}{2}\) = \(\frac{3}{2}\)
=1.5 mm.
The percentage error in thickness is:
Percentage error = \(\frac{\Deltat }{\text{t}}\) \times 100%
= (\(\frac{1.5}{ 5.5}\)) \times 100%
= (\(\frac{15}{ 55}\)) \times 100%
= (\(\frac{3}{11}\)) \times 100% ≈ 27.27%
Source: Myschool Past Questions Archive (Record #27952)
Physics
UTME / JAMB 1993
Current Electricity & Electric Circuits
Solution
Two forces of magnitudes 7N and 3N act at right angles to each other. The angle \(\theta\) between the resultant and the 7N force is given by
A
cos\(\theta\) = \(\frac{3}{7}\)
B
sin\(\theta\) = \(\frac{3}{7}\)
C
tan\(\theta\) = \(\frac{3}{7}\)
D
cot\(\theta\) = \(\frac{3}{7}\)
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
\(\theta\) = tan-1\(\frac{3}{7}\)
Source: Myschool Past Questions Archive (Record #27956)
Physics
UTME / JAMB 1993
Current Electricity & Electric Circuits
Solution
A rocket burns fuel at the rate of 10kgs-1 and ejects it with velocity of 5 x 103ms-1. The thrust exerted by the gas on the rock is
A
2.5 x 107N
B
5.0 x 104N
C
5.0 x 102N
D
2.0 x 10-3N
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Thrust = \(\frac{\text{mass x velocity}}{time}\)
= 10 x 5 x 103
= 5.0 x 104N
Source: Myschool Past Questions Archive (Record #27957)
Physics
UTME / JAMB 1993
Circular Motion, Gravitation & Simple Harmonic Motion
Solution
The force experienced by an object of mass 60.0kg in the moon's gravitational field is 1.002 x 102N. What is the intensity of the gravitational field?
A
0.60Nkg-1
B
1.67Nkg-1
C
6.12 x 102Nkg-1
D
9.81ms-2
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Intensity = \(\frac{1.002 \times 102}{60}\)
= 1.67Nkg-1
Source: Myschool Past Questions Archive (Record #27961)
Physics
UTME / JAMB 1993
Current Electricity & Electric Circuits
Which of the following correctly describes the energy changes in the generation of light by a hydroelectric power station?
A
Electrical \(\to\) mechanical \(\to\) potential
B
potential \(\to\)mechanical \(\to\)electrical \(\to\) light
C
mechanical \(\to\) sound \(\to\) electrical \(\to\) light
D
kinetic \(\to\) mechanical \(\to\) electrical \(\to\)light
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option D.
Source: Myschool Past Questions Archive (Record #27964)
Physics
UTME / JAMB 1993
Work, Energy, Power & Simple Machines
Solution
A plane inclined at angle \(\theta\) has a velocity ratio of 10 : 1. The inclination of the plane to the horizontal is given by
A
tan\(\theta\) = \(\frac{1}{10}\)
B
cot\(\theta\) = \(\frac{1}{10}\)
C
cos\(\theta\) = \(\frac{1}{10}\)
D
sin\(\theta\) = \(\frac{1}{10}\)
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
V.R = \(\frac{1}{sin\theta}\)
= 10
sin = \(\frac{1}{10}\)
Source: Myschool Past Questions Archive (Record #27968)
Physics
UTME / JAMB 1993
Current Electricity & Electric Circuits
Solution
A weightless vessel of dimensions 4m x 3m x 2m is filled with a liquid of density 1000kgm\(^{-3}\) and sealed. What is the maximum pressure this container can exert on a flat surface? [g = 10ms\(^{-2}\)]
A
9 x 104Nm-2
B
4 x 104Nm-2
C
3 x 104Nm-2
D
2 x 104Nm-2
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Pressure = density x acceleration due to gravity x height.
P = 4 x 1000 x 10
= 4 x 10\(^4\)Nm\(^{-2}\)( since max. pressure is required)
Source: Myschool Past Questions Archive (Record #27971)
Physics
UTME / JAMB 1993
Equilibrium of Forces, Moments & Flotation
Solution
An object of mass 400g and density 600kgm-3 is suspended with a sting so that half of it is immersed in paraffin of density 900kgm-3. The tension in the string is
A
1.0N
B
3.0N
C
4.0N
D
5.0N
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
volume of object = \(\frac{400 \times 10^{-2}}{600}\)
= 0.00067m3
volume of paraffin displaced = \(\frac{1}{2}\) x 0.00067
= 0.00034m3
mass of paraffin = 900 x 34 x 10-5
= 0.3kg
weight of paraffin = 0.3 x 10
= 3N = upthrust = tension in the string
Source: Myschool Past Questions Archive (Record #27973)
Physics
UTME / JAMB 1993
Temperature, Thermometry & Thermal Expansion
The thermometric properties of the thermocouple is that is
A
e.m.f. changes with temperature
B
resistance changes with temperature
C
volume changes with temperature
D
pressure changes with resistance
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option A.
Source: Myschool Past Questions Archive (Record #27974)