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Physics
UTME / JAMB 2025
Heat Energy & Temperature
Solution
A man moves 6.0m East and then 10.0m N30ºE. How far is he from his starting point?
A
15.0m
B
17.0m
C
14.0m
D
12.0m
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
The two displacements are 6.0 m East and 10.0 m at N30ºE.
The angle between East and N30ºE is 60^\circ.
Using the cosine rule:
R\(^2\) = 6\(^2\) +10\(^2\) +2(6)(10)cos60º
R\(^2\) = 36 + 100 +120 (0.5) = 196
R = \(\sqrt{196}\) = 14.0m
Source: Myschool Past Questions Archive (Record #74349)
Physics
UTME / JAMB 2025
Mechanics and Properties of Matter
Solution
The density of water is 1g/cm\(^3\) while that of ice is 0.9g/cm\(^3\). Calculate the change in volume when 90g of ice is completely melted.
A
9cm\(^3\)
B
90cm\(^3\)
C
0cm\(^3\)
D
10cm\(^3\)
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Answer: D. 10cm³
(Volume ice = \(\frac{90}{0.9}\) = 100 cm\(^3\);
volume water = \(\frac{90}{1}\) = 90 cm\(^3\);
change = 10 cm\(^3\) decrease.)
Source: Myschool Past Questions Archive (Record #74350)
Physics
UTME / JAMB 2025
Mechanics and Properties of Matter
Solution
The graphical representation of the pressure law is always a straight line passing through the origin, only if the temperature scale is
A
Rankine
B
Celsius
C
Fahrenheit
D
thermodynamic
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Answer: D. thermodynamic (Pressure law P ∝ T requires an absolute scale like Kelvin (thermodynamic) for a line through the origin at T= 0, P= 0. Rankine is also absolute but less common in this context.)
Source: Myschool Past Questions Archive (Record #74351)
Physics
UTME / JAMB 2025
Mechanics and Properties of Matter
Solution
According to the kinetic theory of gases, the pressure exerted by a gas on the walls equals.
A
Momentum imparted to the walls per unit area.
B
Change in momentum per unit volume.
C
Change in momentum imparted to the walls per unit area.
D
Rate of change of momentum imparted to the walls per second per unit area.
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
D. Rate of change of momentum imparted to the walls per second per unit area. (Pressure = force/area = (rate of momentum change)/area from molecular collisions.)
Source: Myschool Past Questions Archive (Record #74352)
Physics
UTME / JAMB 2025
Waves and Optics
Solution
Which of the following is not true about a wave in a plucked string?
A
It is mechanical
B
It has a crest
C
It is transverse
D
It is longitudinal
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Answer: D.
It is longitudinal (String waves are transverse; perpendicular to propagation.
Source: Myschool Past Questions Archive (Record #74353)
Physics
UTME / JAMB 2025
Electricity and Magnetism
Solution
The emf of a cell is the potential difference across its terminals when it is in
A
series connection
B
closed circuit
C
open circuit
D
parallel connection
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Answer: C.
open circuit (EMF is maximum PD with no current drawn.
Source: Myschool Past Questions Archive (Record #74354)
Physics
UTME / JAMB 2025
Thermal Physics
Solution
The thermometric property of mercury is best on the change in
A
density with temperature
B
volume with temperature
C
pressure with temperature
D
resistance with temperature
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Answer: B.
volume with temperature (Mercury thermometers rely on thermal expansion of volume.)
Source: Myschool Past Questions Archive (Record #74355)
Physics
UTME / JAMB 2025
Waves and Optics
Solution
Some of the features of the human eye that greatly help to refract light entering the eyes are
A
cornea and lens
B
cornea and aqueous humor
C
lens and vitreous humor
D
aqueous humor and lens
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Answer: A.
cornea and lens (Main refractive structures.)
Source: Myschool Past Questions Archive (Record #74356)
Physics
UTME / JAMB 2025
Heat Energy & Temperature
Solution
The gravitational pull between two bodies is 20N. Find the gravitational pull when their distance of separation is doubled.
A
10N
B
5N
C
13N
D
20N
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Answer: B. 5N
(F ∝ \(\frac{1}{r^2}\);
doubled r → \(\frac{\text{F}}{4}\) = \(\frac{20}{4}\) = 5 N.)
Source: Myschool Past Questions Archive (Record #74363)
Physics
UTME / JAMB 2025
Thermal Physics
Solution
The volume of a 1 cm\(^3\) metal ball increases by 0.0018 cm\(^3\) when heated through temperature \theta. If the linear expansivity of the ball is 2.0 x 10\(^{-5} K^{-1}\), find \theta.
A
20°C
B
50°C
C
30°C
D
25°C
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Answer: C. 30^\circC
(Volume exp. γ = 3 \alpha = 6\times10\(^{-5}\)K\(^{-1}\);
\DeltaV = V γ \theta;
\theta = \(\frac{0.0018}{1 \times 6\times 10^{-5}}\) = 30^\circC.
Source: Myschool Past Questions Archive (Record #74364)
Physics
UTME / JAMB 2025
Mechanics and Properties of Matter
Solution
For a gas, which pair of variables is inversely proportional to each other (provided other conditions are constant), where P = pressure, T= temperature, V= volume, and n= number of molecules?
A
P, T
B
P, V
C
n, P
D
V, T
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Answer: B. P, V
(Boyle's law: P ∝ \(\frac{1}{\text{V}}\) at constant T, n.)
Source: Myschool Past Questions Archive (Record #74365)
Physics
UTME / JAMB 2025
Mechanics and Properties of Matter
Solution
A boy uses a single string pulley system to lift a mass of 20kg moving with a velocity of 5ms\(^{-1}\). What is the power developed by the boy if g = 10ms\(^{-2}\)?
A
100W
B
1000W
C
250W
D
40W
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Answer: B. 1000W
(Fixed pulley: force = mg = 200 N; power = F \times v = 200 \times 5 = 1000 W.)
Source: Myschool Past Questions Archive (Record #74366)
Physics
UTME / JAMB 2025
Heat Energy & Temperature
Solution
When both the object and its image move together in the same direction relative to the observer, then there is
A
no parallax error
B
blurred image
C
mechanical error
D
parallax error
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Answer: A. no parallax error (No apparent shift if moving together.)
Source: Myschool Past Questions Archive (Record #74357)
Physics
UTME / JAMB 2025
Mechanics and Properties of Matter
Diagram
Solution
The diagram above shows a magnetic field due to a
Attached Figure / Diagram
A
solenoid
B
circular coil
C
current-carrying straight conductor
D
the earth's meridian
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Answer: C. current carrying straight conductor (Concentric circles typical of straight wire magnetic field.)
(Diagram: concentric circular field lines around a central point on a vertical line, arrows clockwise, indicating field around a wire.)
Source: Myschool Past Questions Archive (Record #74358)
Physics
UTME / JAMB 2025
Thermal Physics
Solution
Without considering the containing vessel, what mass of boiled water can raise the temperature of 8 kg of water from 25^\circC to 60^\circC when mixed in a heat-proof container?
A
10kg
B
7kg
C
5kg
D
6kg
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Answer: B. 7kg
(Heat balance: m \times 4200 \times (100 - 60) = 8 \times 4200 \times (60-25);
m = \(\frac{(8 \times 35)}{40}\) = 7 kg.)
Source: Myschool Past Questions Archive (Record #74367)