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English Language
UTME / JAMB 2000
Lexis, Structure & Register (Cloze & Vocabulary)
Solution
Select the correct option for the space numbered 21 in the above passage
A
enact
B
create
C
compose
D
annul
medium Difficulty
Verified Correct Answer: Option A
Grammar & Contextual Explanation
The primary role of the Senate is to enact (create or pass) laws, making this the best answer over “create” or “compose,” which are less formal in this legislative context.
Source: Myschool Past Questions Archive (Record #15103)
English Language
UTME / JAMB 2000
Lexis, Structure & Register (Cloze & Vocabulary)
Solution
Select the correct option for the space numbered 22 in the above passage
A
might
B
power
C
dynamism
D
strenght
medium Difficulty
Verified Correct Answer: Option B
Grammar & Contextual Explanation
"Power" is the clearest term to use in the context of governmental authority. The Senate has no authority (or power) to direct the president’s actions.
Source: Myschool Past Questions Archive (Record #15104)
English Language
UTME / JAMB 2000
Prepositions, Phrasal Verbs & Collocations
Solution
Select the correct option for the space numbered 23 in the above passage
A
official
B
authoritative
C
judicial
D
executive
medium Difficulty
Verified Correct Answer: Option D
Grammar & Contextual Explanation
The president has executive powers. This power is what allows him to enforce and carry out the law.
Source: Myschool Past Questions Archive (Record #15106)
English Language
UTME / JAMB 2000
Lexis, Structure & Register (Cloze & Vocabulary)
Solution
Select the correct option for the space numbered 24 in the above passage
A
modified
B
standardized
C
regulated
D
ordered
medium Difficulty
Verified Correct Answer: Option C
Grammar & Contextual Explanation
Regulated is the best option because it means controlling or supervising according to rules. It means that the President's powers might be subject to oversight.
Source: Myschool Past Questions Archive (Record #15107)
English Language
UTME / JAMB 2000
Lexis, Structure & Register (Cloze & Vocabulary)
Solution
Select the correct option for the space numbered 25 in the above passage
A
an act
B
decree
C
a motion
D
a bill
medium Difficulty
Verified Correct Answer: Option A
Grammar & Contextual Explanation
The most formal way to adjust presidential powers in law is through an act of the National Assembly.
Source: Myschool Past Questions Archive (Record #15108)
Physics
WAEC / WASSCE 2000
Current Electricity & Electric Circuits
Diagram
Solution
The diagram above illustrates three forces T\(_1\), T\(_2\) and 100N in equilibrium. Determine the magnitude of T\(_1\).
Attached Figure / Diagram
A
100 tan 30o
B
\(\frac{100}{\cos 30^o}\)
C
200 sin 301
D
\(\frac{200}{tan 30^o}\)
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Tan30º = \(\frac{T_1}{100}\)
T\(_1\) = 100 Tan30º
Source: Myschool Past Questions Archive (Record #33711)
Physics
WAEC / WASSCE 2000
Equilibrium of Forces, Moments & Flotation
Solution
An iron rod is moved from the earth to the moon. Which of the following properties of the rod would remain unchanged? i. mass ii. weight iii. relative density
A
i only
B
ii only
C
iii only
D
i and iii only
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
When an iron rod is moved from the Earth to the Moon, the following properties are affected:
> Mass: The mass of the rod remains unchanged regardless of its location. Mass is a measure of the amount of matter in an object and does not vary with location.
> Weight: The weight of the rod will change because weight is the force due to gravity acting on the mass of the rod. Since the gravitational force on the Moon is weaker than that on Earth (about 1/6th of Earth's gravity), the weight of the rod will decrease.
> Relative Density: Relative density (or specific gravity) is the ratio of the density of a substance to the density of a reference substance (usually water). Since the composition of the iron rod does not change, its relative density remains the same regardless of the location.
So the properties that remain unchanged are:
< Mass (i)
< Relative Density (iii)
Source: Myschool Past Questions Archive (Record #33715)
Physics
WAEC / WASSCE 2000
Equilibrium of Forces, Moments & Flotation
Solution
A uniform cylindrical hydrometer of mass 20g and cross sectional area 0.54cm2 floats upright in a liquid. If 25cm of its length is submerged, calculate the relative density of the liquid. (Density of water = 1 gcm-3)
A
1.54
B
1.48
C
1.25
D
0.80
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Density of liquid = \(\frac{M}{V}\) = \(\frac{20}{13.5}\) = 1.48g/cm\(^3\)
Volume = area x length = 0.54 x 25 = 13.5cm\(^3\) = volume of cylinder = volume of liquid.
weight of liquid displaced = weight of object = mass of liquid = 20g
volume of liquid = 13.5cm\(^3\)
Relative density of liquid = \(\frac{\text{ density of liquid}}{\text{density of water}}\)
R. d = \(\frac{1.481}{1}\) = 1.48g/cm\(^3\)
Source: Myschool Past Questions Archive (Record #33725)
Physics
WAEC / WASSCE 2000
Equilibrium of Forces, Moments & Flotation
Solution
The apparent weight of a body wholly immersed in water is 32N and its weight in air is 96N. Calculate the volume of the body. (Density of water = 1000kgm-3, g = 10ms\(^{-2}\))
A
8.9 x 10-3m3
B
6.4 x 10-3m3
C
3.2 x 10-3m3
D
3.0 x 10-3m3
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Apparent weight = 32N
Real weight = 96N
Density of water = 1000\(kgm^{-3}\)
acceleration (g) = 10\(ms^{-2}\)
Upthrust = Real weight - Apparent weight
⇒ 96N - 32N = 64N
ρ be the density of liquid and 'V ' be the volume of the body and we know that upthrust force F = ρVg
V = \(\frac{F}{ρg}\) = \(\frac{64}{1000 \times10}\) = 6.4 x 10\(^{-3}m^3\)
Source: Myschool Past Questions Archive (Record #33760)
Physics
WAEC / WASSCE 2000
Newton's Laws, Momentum & Collisions
Solution
A wooden block of mass 1.6kg rests on a rough horizontal surface if the limiting friction force between the block and the surface is 8N. Calculate the coefficient of friction. (g = 10ms-2)
A
0.6
B
0.5
C
0.3
D
0.2
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Limiting frictional force is proportional to normal reaction.
but R = normal reaction = mg
mass = 1.6kg
F\(_{\text{lim}}\) = 8N
g = 10m/s\(^2\)
R = 1.6 x 10 = 16N
coefficient of Friction = \(\frac{\text{F}}{\text{R}}\) = \(\frac{8}{16}\) = 0.5.
Source: Myschool Past Questions Archive (Record #33761)
Physics
WAEC / WASSCE 2000
Elasticity, Density, Pressure & Fluids
Solution
A ball bearing is gently released from rest and allowed to fall through a viscous fluid. Which of the following statements about the motion is correct?
A
its acceleration decreases before terminal velocity is attained
B
when terminal velocity is attained the acceleration of the fluid becomes zero
C
its velocity increases before terminal velocity is attained
D
there is no resultant force on the ball before it attains terminal velocity
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Its acceleration decreases before terminal velocity is attained:
When the ball bearing is released, it accelerates due to gravity. As it falls, the viscous drag force exerted by the fluid increases. This drag force opposes the weight of the ball bearing, resulting in a decrease in acceleration until terminal velocity is reached.
Source: Myschool Past Questions Archive (Record #33762)
Physics
WAEC / WASSCE 2000
Current Electricity & Electric Circuits
Solution
The driver of a car moving with uniform speed of 40ms-1 observes a truck approaching from the opposite direction with a speed of 20ms-1. Calculate the speed of the car relative to that of the truck
A
.5ms-1
B
2.0ms-1
C
20.0ms-1
D
60.0ms-1
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Let V\(_t\) = velocity of truck, = 20m/s V\(_c\) = velocity of car = 40m/s
\(_cV_t\) = V\(_t\) - V\(_c\) = 40 -(-20) = 40 + 20 = 60m/s
Source: Myschool Past Questions Archive (Record #33763)
Physics
WAEC / WASSCE 2000
Linear Motion, Projectiles & Kinematics
Solution
A bus travelling at 15ms\(^{-1}\) accelerates uniformly at 4ms\(^{-2}\), what is the distance covered in 10s?
A
150m
B
170m
C
350m
D
600m
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
given: u = 15m/s, a = 4m/s\(^2\), t = 10secs, S = ?
Using:
S = ut + \(\frac{1}{2}\)at\(^2\)
S = 15 x 10 + 0.5 x 4 x 100
S = 350m.
Source: Myschool Past Questions Archive (Record #33764)
Physics
WAEC / WASSCE 2000
Equilibrium of Forces, Moments & Flotation
Solution
A uniform metre rule of mass 90g is provided at the 40cm mark. If the rule is in equilibrium with an unknown mass m placed at the 10cm mark and a 72g mass at the 70cm mark, determine m
A
72g
B
102g
C
298g
D
504g
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Taking moment about the 40cm mark
Total clockwise moments = total anti-clockwise moment
m x 30 = 90 x 10 + 72 x 30
30m = 900 + 2160 = 3060
m = \(\frac{3060}{30}\) = 102g.
Source: Myschool Past Questions Archive (Record #33765)
Physics
WAEC / WASSCE 2000
Circular Motion, Gravitation & Simple Harmonic Motion
Solution
The bob of a simple pendulum takes 0.25s to swing from its equilibrium position to one extreme end. Calculate its period
A
0.25s
B
0.50s
C
0.75s
D
1.00s
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
period = 0.25 x 4 = 1.0sec, time taken to make one complete circle.
Source: Myschool Past Questions Archive (Record #33767)