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English Language
UTME / JAMB 2001
Idioms, Figurative Expressions & Sentence Interpretation
Solution
Fill each gap with the most appropriate option from the list provided.
The editor was not happy that the Nigerian press was hemmed .......
A
up
B
over
C
across
D
in
medium Difficulty
Verified Correct Answer: Option D
Grammar & Contextual Explanation
The phrase "hemmed in" is a phrasal verb. To hem someone in means to prevent someone from moving or doing what they want to do. So the sentence would read:
The editor was not happy that the Nigerian press was hemmed in.
This means that the Nigerian press is not allowed to do what it wants to do.
Source: Myschool Past Questions Archive (Record #11546)
English Language
UTME / JAMB 2001
Lexis, Structure & Register (Cloze & Vocabulary)
Solution
Fill each gap with the most appropriate option from the list provided.
Three-quarters of the hostel ........ been painted and three-quarters of the students ...... moved in.
A
has/ has
B
has /have
C
have / has
D
have / have
medium Difficulty
Verified Correct Answer: Option B
Grammar & Contextual Explanation
Have is the root verb and is used alongside the pronoun I / You / We / Ye and They and plural noun. Generally, have is a present tense word. Has is used alongside the PRONOUNS He / She / It and Who and SINGULAR NOUNS.
Three-quarters of the hostel is a singular noun because it refers to a part of one object. Three-quarters of the students is a plural noun because it refers to more than one student.
Hence the sentence would read;
Three-quarters of the hostel has been painted and three-quarters of the students have moved in.
Source: Myschool Past Questions Archive (Record #11549)
English Language
UTME / JAMB 2001
Lexis, Structure & Register (Cloze & Vocabulary)
Solution
Fill each gap with the most appropriate option from the list provided.
A wide range of options ....... made available to the political parties during the recently concluded elections.
A
are
B
were
C
was
D
is
medium Difficulty
Verified Correct Answer: Option C
Grammar & Contextual Explanation
The sentence should read: "A wide range of options was made available to the political parties during the recently concluded elections." This maintains subject-verb agreement because "was" is the singular past tense form of "to be," which matches the singular subject "a wide range of options."
Source: Myschool Past Questions Archive (Record #11552)
Physics
UTME / JAMB 2001
Current Electricity & Electric Circuits
Solution
Which of the following graphs correctly represents the variation of mass of a given material deposited with time for constant current in Faraday's Law of Electrolysis?
A
A
B
B
C
C
D
D
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
According to Faraday's Law, the mass of the substance deposited is directly proportional to the time for which the current flows, assuming a constant current. Therefore, the graph should show a linear increase in mass over time, which corresponds to option A
Source: Official Exam / Past Question Archive
Physics
UTME / JAMB 2001
Elasticity, Density, Pressure & Fluids
Solution
The height at which the atmosphere ceases to exist is about 80km. If the atmospheric pressure on the ground level is 760mmHg, the pressure at a height of 20km above the ground level is
A
380mmHg
B
570mmHg
C
190mmHg
D
480mmHg
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
(p - 760)/(0 - 760) = (h - 0)/(80 - 0)
∴ (p - 760)/-760 = (20 - 0)/80
80(p-760) = -760(20-0)
∴80p - 60800 = -15200
80p = 60800 - 15200
80p = 45600
∴ p = 45600/80
p = 570mmHg
Source: Myschool Past Questions Archive (Record #1504)
Physics
UTME / JAMB 2001
Work, Energy, Power & Simple Machines
Solution
A stone of mass 1kg is dropped from a height of 10m above the ground and falls freely under gravity. Its kinetic energy 5m above the ground is then equal to
A
its kinetic energy on the ground
B
twice its initial potential energy
C
its initial potential energy
D
half its initial potential energy
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
At the height of 10m, its total energy is potential, given by P.E. = mgh = 1 x 10 x 10 = 100J.
But as the stone descends, its potential energy decreases, while its kinetic energy increases.
Half way during the fall, (h = 5m), its P.E. = 50J, and consequently, its K.E. should be 50J, such that from the principle of conservation of energy, the total energy of the stone at any instant should be conserved.
Source: Myschool Past Questions Archive (Record #1505)
Physics
UTME / JAMB 2001
Gas Laws & Heat Transfer
Solution
Ice cubes are added to a glass of warm water. The glass and water are cooled by
A
conduction only
B
convection only
C
conduction and convection
D
convection and radiation
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
heat is transferred from the water to the ice/glass through direct contact(conduction) additionally, there is some convective heat transfer within the water as warmer water rises and cooler water sinks.
Source: Myschool Past Questions Archive (Record #1511)
Physics
UTME / JAMB 2001
Reflection, Refraction & Dispersion of Light
Solution
A ray of light strikes a plane mirror at an angle of incidence of 35°. If the mirror is rotated through 10°, through what angle is the reflected ray rotated?
A
70°
B
45°
C
25°
D
20°
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
When ever a ray of light is incident on a plane mirror at an angle of incidence l, if the mirror is then rotated through an angle θ, then the reflected ray is rotated through an angle twice θ
So if θ = 35°, then the reflected ray is rotated through 2 x 10o = 20°
Source: Myschool Past Questions Archive (Record #1512)
Physics
UTME / JAMB 2001
Lenses & Optical Instruments
Solution
The terrestrial telescope has one extra lens more than the astronomical telescope. The extra lens is for
A
improving the sharpness
B
creating an inverted image
C
magnification of the image
D
erection of the image
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
The extra lens in the terrestrial telescope mounted at the middle between the objective lens and the eye piece is to re-invert the image so that it is upright.
Source: Myschool Past Questions Archive (Record #1513)
Physics
UTME / JAMB 2001
Reflection, Refraction & Dispersion of Light
Solution
The driving mirror of a car has a radius of curvature of 1m. A vehicle behind the car is 4m from the mirror. Find the image distance behind the mirror.
A
8/7
B
4/9
C
9/2
D
4/7
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Thus if r = 1m
f = 1/2 = 0.5m
∴ if U = - 4m (object behind mirror)
f = 0.5m
\(\frac{1}{u}\) + \(\frac{1}{v}\) = \(\frac{1}{f}\)
-\(\frac{1}{4}\) + \(\frac{1}{v}\) = \(\frac{1}{0.5}\)
\(\frac{1}{v}\) = 2 + \(\frac{1}{4}\)
\(\frac{1}{v}\) = \(\frac{1+ 8}{4}\)
\(\frac{1}{v}\) = \(\frac{9}{4}\)
v = \(\frac{4}{9}\)
Source: Myschool Past Questions Archive (Record #2005)
Physics
UTME / JAMB 2001
Gas Laws & Heat Transfer
Solution
The pressure of a given mass of a gas changes from 300Nm\(^{-2}\) to 120Nm\(^{-2}\) while the temperature drops from 127^\circC to -73^\circC. The ratio of the final volume to the initial volume is
A
2 : 5
B
5 : 4
C
4 : 5
D
5 : 2
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
To find the ratio of the final volume to the initial volume of a gas when both pressure and temperature change, we can use the Ideal Gas Law, which states that
\(\frac{P_1V_1}{T_1} = \frac{P_2V_2}{T_2}\)
P\(_1\) = 300N/m\(^2\) V\(_1\) = ?, V\(_2\) = ?, T\(_1\) = 127^\circC =127+273 = 400K, T\(_2\) = −73^\circC = −73 + 273 = 200K
P\(_2\) = 120N/m\(^2\)
Using the Ideal Gas Law, we can rearrange it to find the ratio of volumes:
= \(\frac{V_2}{V_1} = \frac{P_1T_2}{P_2T_1}\)
= \(\frac{V_2}{V_1} = \frac{300 \times 200}{120 \times 400}\) = \(\frac{5}{4}\)
Therefore, V\(_2\) : V\(_1\) = 5 : 4.
Source: Myschool Past Questions Archive (Record #2010)
Physics
UTME / JAMB 2001
Current Electricity & Electric Circuits
Solution
If a spherical metal bob of radius 3cm is fully immersed in a cylinder containing water and the water level rises by 1cm, what is the radius of the cylinder?
A
12cm
B
1cm
C
3cm
D
6cm
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
If the bob is fully immersed in the water, then the volume of water displaced will be equal to the volume of the bob = 4/3πr3, where r is the radius of the bob.
This volume of water in the cylinder = πr2l, where r = radius of the cylinder, and l = level of water rose in the cylinder.
Therefore, π x r2 x l = 4/3 x π x 33
Then r2 = 36
r = √36
r = 6cm
Source: Myschool Past Questions Archive (Record #1506)
Physics
UTME / JAMB 2001
Scalars, Vectors & Relative Motion
Solution
The resultant of two forces acting on an object is maximum if the angle between them is
A
45°
B
0°
C
90°
D
180°
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
The resultant of two forces acting on an object is maximum when the angle between them is zero, during which the two forces are parallel and pointing in the same direction
Source: Myschool Past Questions Archive (Record #1507)
Physics
UTME / JAMB 2001
Work, Energy, Power & Simple Machines
Solution
The efficiency of a machine is always less than 100% because the
A
work output is always greater than the work input
B
load lifted is always greater than the effort applied
C
effort applied is always greater than the load lifted
D
velocity ratio is always greater than the mechanical advantage
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
In real-world machines, due to factors such as friction, deformation, and other losses, the mechanical advantage is always less than the velocity ratio:
MA < VR
This means that the work output (useful work done) is always less than the work input (energy supplied), leading to efficiency being less than 100%.
Source: Myschool Past Questions Archive (Record #1509)
Physics
UTME / JAMB 2001
Scalars, Vectors & Relative Motion
Solution
Which of the following consists entirely of vector quantities?
A
Velocity, displacement and reaction
B
Tension, magnetic flux and mass
C
Displacement, impulse and power
D
Work, pressure and moment
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Velocity: Vector quantity (has both magnitude and direction).
Displacement: Vector quantity (change in position).
Reaction: Typically refers to a reaction force, which is a vector quantity.(OPTION A)
Source: Myschool Past Questions Archive (Record #1510)