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Physics
UTME / JAMB 2019
Current Electricity & Electric Circuits
Solution
The volume of 0.354g of helium at 273^\circC and 114cmhg of mercury pressure is 2667cm\(^3\). Calculate the volume at STP.
A
2000.25 cm\(^3\)
B
200.025 cm\(^3\)
C
4003.27 cm\(^3\)
D
2010.25 cm\(^3\)
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
m = 0.354g, T\(_1\) = 273^\circC = 273 + 273 = 546K
P\(_1\) = 114cmHg, V\(_1\) = 2667cm\(^3\) at STP
T\(^2\) = 273K, P\(_2\) = 76cmHg, V\(_2\) = ?
\(\frac{P_1V_1}{T_1} = \frac{P_2V_2}{T_1}\)
= 2000.25cm\(^3\)
Source: Myschool Past Questions Archive (Record #55664)
Physics
UTME / JAMB 2019
Current Electricity & Electric Circuits
Solution
Which of these is observed when air is pumped out of a discharge tube without lowering its pressure
A
the conductivity of the air increases
B
the conductivity of the air decreases
C
conduction does not occur
D
spark are produced
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Conduction takes places in gases when air is pumped out of a discharged tube under reduced pressure.
Source: Myschool Past Questions Archive (Record #55670)
Physics
UTME / JAMB 2019
Waves, Sound & Vibrations
Solution
Which of the following characteristics of a wave is used in the measurement of the depth of the Sea?
A
diffraction
B
interference
C
refraction
D
reflection
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Depth of sea can be measured by echo, a reflected sound waves.
Source: Myschool Past Questions Archive (Record #55678)
Physics
UTME / JAMB 2019
Newton's Laws, Momentum & Collisions
Solution
If the attraction of the sun is suddenly ceased, the earth would continue to move in a straight line making a tangent with the original orbit. This statement is derived from Newton's
A
First law of motion
B
Second law of motion
C
Third law of motion
D
Law of universal gravitation
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Newton's First law of motion describes the straight motion of a body.
Source: Myschool Past Questions Archive (Record #55680)
Physics
UTME / JAMB 2019
Gas Laws & Heat Transfer
Solution
Heat may be transferred by conduction, convection and radiation. By which of these methods does heat travel through vacuum?
A
Conduction only
B
Convection only
C
Radiation only
D
All these methods
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Vacuum is an enclosure with no air or agent of heat transfer
Source: Myschool Past Questions Archive (Record #55682)
Physics
UTME / JAMB 2019
Lenses & Optical Instruments
Solution
The part of the human eye that does similar work as the diaphragm of a camera lens is the
A
Ciliary muscles
B
Pupil
C
Iris
D
Retina
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Iris is similar to diaphragm.
Source: Myschool Past Questions Archive (Record #55685)
Physics
UTME / JAMB 2019
Linear Motion, Projectiles & Kinematics
Solution
A projectile of mass 4kg is fired vertically and reaches a maximum height of 40m. Calculate the potential energy at the highest point
(g = 10ms\(^{-2}\)
A
1800J
B
1600J
C
600J
D
440J
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Potential energy at the highest point = mgh
PE = 4 \times 10 \times 40 = 1600J
Source: Myschool Past Questions Archive (Record #55692)
Physics
UTME / JAMB 2019
Current Electricity & Electric Circuits
Solution
The length of the seconds hand of laboratory clock is 0.1m. Calculate the speed at the top of the seconds hand
A
1.05 × 10\(^{-2}\)ms\(^{-1}\)
B
1.85 × 10\(^{-4}\)ms\(^{-1}\)
C
9.50 × 10\(^{-1}\)ms\(^{-1}\)
D
5.25 × 10\(^{-3}\)ms\(^{-1}\)
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
\(\text{Circumference} \, (d) = 2 \pi r = 2 \pi (0.1) \approx 0.6283 \, \text{m}\)
\(\text{Time for one revolution} \, (t) = 60 \, \text{s}\)
\(\text{Speed} \, (v) = \frac{d}{t} = \frac{0.6283}{60} \approx 0.01047 \, \text{m/s} \approx 1.05 \times 10^{-2} \, \text{ms}^{-1}\)
Source: Myschool Past Questions Archive (Record #55693)
Physics
UTME / JAMB 2019
Electrostatics & Capacitors
Diagram
Solution
The resultant capacitance in the figure above is
Attached Figure / Diagram
A
0.4μf
B
0.8μf
C
1.8μf
D
4.5μf
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
For the parallel arrangement = 2 + 4 = 6\muf
For
the
series
arrangement
=
1
C\(_T\)
=
1
2
+
1
3
+
1
6
+
1
4
1
C\(_T\)
=
15
12
C\(_T\)
=
12
15
=
0.8\muf
Source: Myschool Past Questions Archive (Record #55628)
Physics
UTME / JAMB 2019
Temperature, Thermometry & Thermal Expansion
Solution
The lower fixed part of a faulty thermometer reads 2^\circC while the upper fixed point is 100^\circC.
What is the true temperature when the thermometer reads 51^\circC?
A
52°C
B
50°C
C
49°C
D
46°C
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
C\(_{\theta}\) = 50, C\(_0\) = 2, C\(_{100}\) = 100
\theta
=
C\(_{\theta}\) - C\(_0\)
C\(_{100}\) - C\(_0\)
\times
100
=
51 - 2
100 - 2
\times
100
=
49
98
\times
100
\theta = 50^\circC.
Source: Myschool Past Questions Archive (Record #55638)
Physics
UTME / JAMB 2019
Current Electricity & Electric Circuits
Solution
A boy pushes a 500kg box along a floor with a force of 2000N. If the velocity of the box is uniform, the co-efficient of friction between the box and the floor is
A
1
B
0.8
C
0.65
D
0.4
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
m = 500kg, W = mg = 500 \times 10 = 5000N
F = 2000N
\mu
=
Force at constant velocity
weight
=
2000
5000
=
0.4
Source: Myschool Past Questions Archive (Record #55657)
Physics
UTME / JAMB 2019
Work, Energy, Power & Simple Machines
Solution
Workdone on an object to bring it to a certain point in space is called
A
Gravitational potential energy
B
Potential energy
C
Kinetic energy
D
Mechanical energy
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Gravitational potential energy is the energy an object possesses because of its position in a gravitational field. Since the force required to lift it is equal to its weight, it follows that the gravitational potential energy is equal to its weight times the height to which it is lifted. (i.e, P.E\(_g\) = \omegah, where \omega = mg)
Source: Myschool Past Questions Archive (Record #55694)
Physics
UTME / JAMB 2019
Atomic, Quantum, Nuclear Physics & Electronics
Solution
A copper rod, 5m long, when heated through 10ºC, expands by 1mm. If a second copper rod, 2.5m long, is heated through 5ºC, by how much will it expand?
A
4mm
B
0.25mm
C
2mm
D
0.12mm
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
For the first copper rod:
\(L_0 = 5 \, \text{m} = 5000 \, \text{mm}, \quad \Delta T = 10 \, \text{^\circC}, \quad \Delta L = 1 \, \text{mm}\)
Coefficient of linear expansion \( \alpha \):
\(\alpha = \frac{1 \, \text{mm}}{5000 \, \text{mm} \cdot 10} = \frac{1}{50000} \, \text{mm}^{-1}\)
For the second copper rod:
\(L_0 = 2.5 \, \text{m} = 2500 \, \text{mm}, \quad \Delta T = 5 \, \text{^\circC}\)
Expansion:
\(\Delta L = L_0 \cdot \alpha \cdot \Delta T = 2500 \, \text{mm} \cdot \frac{1}{50000} \, \text{mm}^{-1} \cdot 5 = 0.25 \, \text{mm}\)
The second copper rod will expand by: \(0.25 \, \text{mm}\)
Source: Myschool Past Questions Archive (Record #55700)
Physics
UTME / JAMB 2019
Current Electricity & Electric Circuits
Solution
A safety precaution designed to prolong the life of a lead acid accumulator is
A
By topping up the cells with concentrated acid
B
The use of naked flame when charging the battery
C
Keeping the specific gravity of the electrolyte within specified range
D
By connecting wires to the terminals directly when testing the level of charging
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
- Topping is done with distilled water
- Naked flame should be avoided when charging the battery
- Direct connection of wires to the terminals should be avoided.
Source: Myschool Past Questions Archive (Record #55750)
Physics
UTME / JAMB 2019
Calorimetry, Latent Heat & Change of State
Solution
The mass of water vapour in a given volume of air is 0.05g at 20^\circC, while the mass of water vapour required to saturate it at the same temperature is 0.15g. Calculate the relative humidity of the air.
A
3.33%
B
5.55%
C
33.33%
D
55.55%
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
RH
=
mass of water vapour in volume of air
mass of water vapour for saturation
RH
=
m
M
=
0.05
0.15
\times
100
=
5
0.15
=
500
15
=
33.33%
Source: Myschool Past Questions Archive (Record #55759)