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Physics
UTME / JAMB 2021
Evaporation and Boiling
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
Evaporation and Boiling
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
Gravitational Field
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
Energy and Power
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
Energy and Power
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
Simple Ac Circuit
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
Simple Ac Circuit
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
Simple Ac Circuit
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
Structure of the Atom
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
Structure of the Nucleus
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
Structure of the Nucleus
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)
Physics
WAEC / WASSCE 2021
Structure of the Nucleus
Solution
Which of the following scientist suggested that moving particles exhibit wave properties?
A
Isaac Newton
B
Ernest Rutherford
C
Louis de Broglie
D
J.J. Thompson
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
In 1924 Louis de Broglie introduced the idea that particles, such as electrons, could be described not only as particles but also as waves.
Source: WAEC / JAMB / NECO Classroom Archive (Record #62317)
Physics
UTME / JAMB 2021
Refraction of Light
Solution
A man stands 4m in front of a plane mirror. If the mirror is moved 1m towards the man, the distance between him and his new image is?
A
3m
B
5m
C
6m
D
10m
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Objects distance (u) = image distance (v)
object distance = 3m
|uv| = 3 + 3 = 6m
Source: WAEC / JAMB / NECO Classroom Archive (Record #60812)
Physics
UTME / JAMB 2021
Refraction of Light
Solution
The inside portion of part of a hollow metal sphere of diameter 20cm is polished. The portion will therefore form a?
A
concave mirror of focal length 5cm
B
concave mirror of focal length 10cm
C
convex mirror of focal length 5cm
D
convex mirror of focal length 10cm
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Concave Mirror: It is a spherical mirror whose outer surface is polished and inner or concave side is reflecting surface.
Convex Mirror: It is a spherical mirror whose inner surface is polished and whose outer side or convex side is the reflecting surface.
f = \(\frac{m}{4}\) = f = \(\frac{d}{4}\)
f = \(\frac{20}{4}\) = 5cm
(For metal, it is the polished side that will be the reflecting surface)
Source: WAEC / JAMB / NECO Classroom Archive (Record #60819)
Physics
UTME / JAMB 2021
Refraction of Light
Solution
The velocities of light in air and glass are 3.0 x 10\(^8\)ms\(^{-1}\) and 2.0 x 10\(^8\)ms\(^{-1}\) respectively. If the angle of refraction is 30º, the sine of the angle of incidence is?
A
0.33
B
0.50
C
0.67
D
0.75
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
\(\frac{\text {sin i}}{\text {sin r}}\) = \(\frac{\text {velocity in air}}{\text {velocity in glass}}\)
\(\frac{\text {sin i}}{\text {sin 30}}\) = \(\frac{3 \times 10^{8}}{2 \times 10^{8}}\)
Sin i = \(\frac{3}{4}\) = 0.75
Source: WAEC / JAMB / NECO Classroom Archive (Record #60827)