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Physics
WAEC / WASSCE 2021
Temperature, Thermometry & Thermal Expansion
Solution
Which of the following statements is an effect of compressing gas molecules at constant temperature?
A
The pressure on the molecules decreases.
B
The molecules gain more kinetic energy.
C
The molecules make more impact per second on the walls of the container.
D
The molecules increase in size.
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
More collisions mean more force, so the pressure will increase.
When the volume decreases, the pressure increases.
This shows that the pressure of a gas is inversely proportional to its volume.
This is shown by Boyle's law.
Source: WAEC / JAMB / NECO Classroom Archive (Record #61907)
Physics
UTME / JAMB 2021
Calorimetry, Latent Heat & Change of State
Solution
0.5kg of water at 10ºC is completely converted to ice at 0ºC by extracting (88000) of heat from it. If the specific heat capacity of water is 4200jkg\(^{1}\) Cº. Calculate the specific latent heat of fusion of ice.
A
9.0kjkg\(^{-1}\)
B
84.0kjkg\(^{-1}\)
C
134.0kjkg\(^{-1}\)
D
168.0kjkg\(^{-1}\)
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Heat involved (H) = 88,000J, Mass(M)= 0.5kg, specific heat capacity of water(C) = 4200JkgºC,
Specific latent heat of fusion(L) = ?, Temperature change(\Delta\theta) = \theta2 - \theta1 = (10 - 0)^\circ = 10^\circ
H = MC\Delta\theta + ML
or
H = M(C\Delta\theta + L) -->\(\frac{H}{M}\) = C\Delta\theta + L
: L = \(\frac{H}{M}\) - C\Delta\theta = \(\frac{88,000}{0.5}\) - 4200 \(\times\) 10
L = 176,000 - 42000 = 134,000
L = 134,000 or 134kj/kg
Source: WAEC / JAMB / NECO Classroom Archive (Record #60731)
Physics
UTME / JAMB 2021
Calorimetry, Latent Heat & Change of State
Solution
Calculate the heat energy required to vaporize 50g of water initially at 80ºC if the specific heat capacity of water is 4.23jg\(^{-1}\)k\(^{-1}\) (specific latent heat of vaporization of water is 2260jg\(^{-1}\)
A
530000J
B
23200J
C
17200J
D
130000J
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
H = mc\(\bigtriangleup\theta\) + mL
H = ?
m = 50g, c = 4.23J/gk,L = 2260, \(\bigtriangleup\theta\) = 80ºC
H = 50 [4.23 x 80 + 2260]
= 129920 \(\approx\) 130,000J
Source: WAEC / JAMB / NECO Classroom Archive (Record #60740)
Physics
UTME / JAMB 2021
Calorimetry, Latent Heat & Change of State
Solution
A piece of substance of specific heat capacity 450Jkg\(^{-1}\)k\(^{1}\) falls through a vertical distance of 20m from rest. Calculate the rise in temperature of the substance on hitting the ground when all its energies are converted into heat. [g = 10ms\(^{-2}\)]
A
\(\frac{2}{9}\)ºC
B
\(\frac{4}{9}\)ºC
C
\(\frac{9}{2}\)ºC
D
\(\frac{9}{4}\)ºC
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Using the law of conservation of energy
mc\(\bigtriangleup\theta\) = mgh
\(\bigtriangleup\theta\) = \(\frac{gh}{c} = \frac{10 \times 20}{450} = \frac{4}{9}\)ºC
Source: WAEC / JAMB / NECO Classroom Archive (Record #60777)
Physics
UTME / JAMB 2021
Calorimetry, Latent Heat & Change of State
Solution
Which of the following instruments may be used to measure relative humidity?
A
Hydrometer
B
Manometer
C
Hygrometer
D
Hypsometer
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
A hygrometer is an instrument that is used to measure water vapor in the atmosphere. This is also commonly referred to as relative humidity in the atmosphere.
Source: WAEC / JAMB / NECO Classroom Archive (Record #60733)
Physics
UTME / JAMB 2021
Calorimetry, Latent Heat & Change of State
Solution
I. A liquid boils when its saturated vapor pressure is equal to the external pressure
II. Dissolved substances in pure water lead to an increase in the boiling point.
III. When the external pressure is increased, the boiling point increases.
IV. Dissolved substances in pure water decreases the boiling point
Which of the above combinations are peculiarities of the boiling point of a liquid?
A
I, II and III only
B
I, II, III, and IV
C
I, II, and IV
D
II, III, and IV
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
The boiling point of a liquid depends on temperature, atmospheric pressure, and the vapor pressure of the liquid.
When the atmospheric pressure is equal to the vapor pressure of the liquid, boiling will begin
Source: WAEC / JAMB / NECO Classroom Archive (Record #60778)
Physics
WAEC / WASSCE 2021
Circular Motion, Gravitation & Simple Harmonic Motion
Diagram
Solution
Which of the sketched graphs above illustrates the correct variation of the gravitational force, Fg between two objects and the distance, d, between the centre
Attached Figure / Diagram
A
A
B
B
C
C
D
D
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
OPTION B is the correct answer because gravitational force is inversely proportional to the square of distance between the two bodies according to Newton's law of universal gravitation.
\( F_g = G\frac{m_1m_2}{r^2}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #61885)
Physics
WAEC / WASSCE 2021
Work, Energy, Power & Simple Machines
Solution
Electric motor primarily converts?
A
electrical energy to chemical energy.
B
kinetic energy to potential energy
C
electrical energy to mechanical energy
D
electrical energy to heat energy.
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
An electric motor is an electrical machine that converts electrical energy into mechanical energy.
Source: WAEC / JAMB / NECO Classroom Archive (Record #61880)
Physics
WAEC / WASSCE 2021
Work, Energy, Power & Simple Machines
Diagram
Solution
In the diagram above, a bulb is lit by drawing 2.0A from 440V a.c. source. Calculate the cost of keeping the bulb on for two days at $0.40 per kilowatt-hour.
Attached Figure / Diagram
A
$16.90
B
$84.48
C
$1690.00
D
$8.48
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Power[p] = IV → 2 * 440 = 880Watt
Energy = p * t = 880 * 48hrs
= 42240 or 42.24kwh
But 1 kwh cost $0.40
∴ 42.24kwh costs 42.24 x 0.40
= 16.896 or $16.90
Source: WAEC / JAMB / NECO Classroom Archive (Record #61984)
Physics
UTME / JAMB 2021
Magnetism, Electromagnetism & AC Circuits
Solution
A 2H inductor has negligible resistance and is connected to a \(\frac{50}{\pi}\) Hz A.C supply. The reactance of the inductor is?
A
200\(\Omega\)
B
50\(\Omega\)
C
\(\frac{100}{\pi}\)
D
\(\frac{25}{\pi \Omega}\)
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Given;
L = 2H
F = \(\frac{50}{\pi}\) \(H_2\)
\(X_L\) = ?
\(X_L\) = 2\(\pi\)fL = 2\(\pi\) x \(\frac{50}{\lambda}\) x 2
= 200\(\Omega\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #60841)
Physics
WAEC / WASSCE 2021
Magnetism, Electromagnetism & AC Circuits
The inductive reactance in a circuit of frequency 100Hz is 1ohms. Calculate the inductance of the inductor[π = 3.14]
A
2.00 x 10\(_{-3}\)H
B
1.59 x 10\(_{-3}\)H
C
1.09 x 10\(_{-3}\)H
D
6.28x 10\(_{-3}\)H
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option B.
Source: WAEC / JAMB / NECO Classroom Archive (Record #61902)
Physics
WAEC / WASSCE 2021
Magnetism, Electromagnetism & AC Circuits
Diagram
Solution
The diagram above is an illustration of an a.c. circuit.Calculate the reactance of the capacitor.
Attached Figure / Diagram
A
2016Ω
B
2000Ω
C
200Ω
D
4000Ω
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Capacitive reactance, X\(_C\) = \(\frac{1}{2\piFC}\) → \(\frac{1}{2\pi * 500/\pi * 5 * 10^{-6}}\)
= \(\frac{1}{0.005}\) → 200\Omega
Source: WAEC / JAMB / NECO Classroom Archive (Record #61913)
Physics
UTME / JAMB 2021
Atomic, Quantum, Nuclear Physics & Electronics
Solution
If the frequency of an emitted x-ray is 1.6 x 10\(^{16}\)Hz, the accelerating potential is?
[e = 1.6 x 10\(^{-19}\)J, h = 6.63 x 10-\(^{34}\)Js]
A
6630.0V
B
663.0V
C
66.3V
D
6.6V
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Given f = 1.6 x10\(^{16}\)\(H_3\), h = 6.63 x 10\(^{-39}\)Js
e = 1.6 x 10\(^{-19}\)C, V = ?
V = \(\frac{w}{e} = \frac{hf}{e}\) = \(\frac{1.6 \times 10^{16} \times 6.63 \times 10^{34}}{1.6 \times 10^{-19}}\)
= 66.3V
Source: WAEC / JAMB / NECO Classroom Archive (Record #60745)
Physics
UTME / JAMB 2021
Atomic, Quantum, Nuclear Physics & Electronics
Solution
A certain radioactive source emits radiation that was found to be deflected by both magnetic and electric fields. The radiation is?
A
beta rays
B
gamma rays
C
x-rays
D
ultra-violet rays
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Both the electric field and magnetic field affect the \beta-particles.
Source: WAEC / JAMB / NECO Classroom Archive (Record #60749)
Physics
WAEC / WASSCE 2021
Atomic, Quantum, Nuclear Physics & Electronics
Solution
An atom that emits an a-particle?
A
may become a different element.
B
becomes a different isotope of the element.
C
daughter with increased mass.
D
becomes a daughter of a different element always.
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Alpha decay or \alpha-decay is a type of radioactive decay in which an atomic nucleus emits an alpha particle (helium nucleus) and
thereby transforms or 'decays' into a different atomic nucleus, with a mass number that is reduced by four and an atomic number that is reduced by two.
Source: WAEC / JAMB / NECO Classroom Archive (Record #61904)