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Physics
UTME / JAMB 2024
Mechanics and Properties of Matter
Solution
Calculate the power of an object which moves through a distance of 500cm in 1s on a frictionless surface by a horizontal force of 50N
A
200W
B
300W
C
350W
D
250W
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Power = \(\frac{w}{t}\)
Given: F = 50N, s = 500cm → 5m and t = 1s
W = f x s = 50 x 5 = 250J
Power = \(\frac{250}{1}\) = 250W
Source: Myschool Past Questions Archive (Record #70512)
Physics
UTME / JAMB 2024
Thermal Physics
Solution
The land and sea breeze is attributed to
A
conduction and radiation
B
conduction
C
radiation
D
convection
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Convection: The movement of air due to temperature differences between land and water, leading to the formation of breezes.
Source: Myschool Past Questions Archive (Record #70522)
Physics
UTME / JAMB 2024
Mechanics and Properties of Matter
Diagram
Solution
Using the diagram above, calculate the relative density of x, if the density of methanol is 800kgm\(^{-3}\)
Attached Figure / Diagram
A
0.8
B
0.5
C
1.5
D
2.5
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
At equilibrium, the pressures at the bottom of both columns are equal:
ρ\(_m\) \times h\(_m\) \times g = ρ\(_x\) \times h\(_x\) \times g
g cancels out, so:
ρ\(_m\) \times h\(_m\) = ρ\(_x\) \times h\(_x\)
\(\rho_x = \rho_m \times \frac{h_m}{h_x} = 800 \times \frac{7.1}{14.2}\)
\(\frac{7.1}{14.2} = 0.5\)
\(\rho_x = 800 \times 0.5 = 400 \, \text{kg/m³}\)
Relative density of X (with respect to methanol) =
\(\frac{\rho_x}{\rho_m} = \frac{400}{800} = \mathbf{0.5}\)
Source: Myschool Past Questions Archive (Record #70665)
Physics
UTME / JAMB 2024
Electricity and Magnetism
Solution
One of these is not the use of an electroscope
A
testing the type of charge on a charge body
B
measuring ionization current in air
C
detecting the pressure of charge on a charged body
D
producing electric charge in a body
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
An electroscope is a passive device used to detect and measure charges, not to produce or generate electric charge in a body.
Source: Myschool Past Questions Archive (Record #70690)
Physics
UTME / JAMB 2024
Electricity and Magnetism
Diagram
Solution
In the diagram above, the galvanometer is converted to
Attached Figure / Diagram
A
Voltmeter
B
Ammeter
C
Voltameter
D
Hypsometer
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
When a galvanometer is connected to a shunt resistor, it is converted into an ammeter.
By connecting a shunt in parallel with a galvanometer, it can measure larger currents without getting damaged, turning it into an ammeter
Source: Myschool Past Questions Archive (Record #70685)
Physics
UTME / JAMB 2024
Waves and Optics
Solution
A boy standing 408m from a wall blew a trumpet and heard the echo 2.4s later. Calculate the speed of the sound
A
310m/s
B
320m/s
C
330m/s
D
340m/s
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
The distance to the wall is 408m, so the total distance (D) traveled by the sound is: D = 2 \times 408m = 816m
But v = \(\frac{d}{t}\) = \(\frac{816}{2.4}\) = 340m/s
Source: Myschool Past Questions Archive (Record #71633)
Physics
UTME / JAMB 2024
Mechanics and Properties of Matter
Solution
The acceleration of a free fall due to gravity is not a constant everywhere on the Earth's surface because
A
mass of the earth
B
elliptical shape of the earth
C
variation in the density of the earth
D
rotation of the earth about its axis
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
The elliptical shape of the Earth: The Earth is not a perfect sphere; it is slightly flattened at the poles and bulging at the equator. This shape causes variations in gravitational acceleration.
Source: Myschool Past Questions Archive (Record #70696)
Physics
UTME / JAMB 2024
Heat Energy & Temperature
Solution
An example of a non-rechargeable cell is
A
nickel iron
B
mercury cadmium
C
dry leclanche
D
lead-acid
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Dry Leclanché: This is a common non-rechargeable cell.
Source: Official Exam / Past Question Archive
Chemistry
UTME / JAMB 2024
Stoichiometry & Mole Concept
Solution
At a given temperature and pressure, a gas X diffuses twice as fast as gas Y. It follows that
A
Gas Y is two times as heavy as Gas X
B
Gas Y is four times as heavy as Gas X
C
Gas Y is monoatomic
D
Gas X is diatomic
medium Difficulty
Verified Correct Answer: Option B
Chemical Principles & Mechanism
The question can be explained by Graham's law of diffusion. According to this law, under the same conditions of temperature and pressure, the rate of diffusion of a gas is inversely proportional to the square root of its molar mass.
\(\frac{R_x}{R_y}\) = \(\sqrt{\frac{M_y}{M_x}}\)
From the question, Gas X diffuses twice as fast as gas Y i.e x = 2y
This implies x =2 while y = 1
From \(\frac{R_x}{R_y}\) = \(\sqrt{\frac{M_y}{M_x}}\)
\(\frac{2}{1}\) = \(\sqrt{\frac{M_y}{M_x}}\)
\(\frac{4}{1}\) = \(\frac{M_y}{M_x}\)
M\(_y\) = 4 M\(_x\)
⇒ Gas Y is 4 times as heavy as Gas X. - Option B
Source: Myschool Past Questions Archive (Record #70194)
Chemistry
UTME / JAMB 2024
Stoichiometry & Mole Concept
Solution
The number of molecules of helium gas contained in 11.5g of the gas is
A
1.73 x 10\(^{23}\)
B
1.73 x 10\(^{22}\)
C
1.73 x 10\(^{24}\)
D
1.73 x 10\(^{21}\)
medium Difficulty
Verified Correct Answer: Option C
Chemical Principles & Mechanism
To find the number of molecules, we'll use the formula:
Number of moles = \(\frac{Number of molecules}{Avogadro number}\)
But We were only given the mass of Helium = 11.5g , knowing the atomic mass or molar mass of He = 4 g/mol
Number of moles = \(\frac{mass}{molar mass}\) = \(\frac{11.5}{4}\) = 2.875 moles
Number of molecules = Number of moles x Avogadro number
= 2.875 x 6.02 x 10\(^{23}\)
= 17.3075 x 10\(^{23}\)
= 1.73 x 10\(^{24}\)
Source: Myschool Past Questions Archive (Record #70203)
Chemistry
UTME / JAMB 2024
Matter & Separation Techniques
Solution
The constituents of Alnico are Aluminium, Nickel and
A
Mg
B
Co
C
Mn
D
Cu
medium Difficulty
Verified Correct Answer: Option B
Chemical Principles & Mechanism
Alnico is ferromagnetic, meaning it can be used to make permanent magnets. Alnico is an iron alloy with the acronym "al-ni-co" that's made up of aluminum (Al), nickel (Ni), and cobalt (Co). Option B
Source: Myschool Past Questions Archive (Record #70217)
Chemistry
UTME / JAMB 2024
Electrochemistry and Redox
Solution
Silver and Gold are metals found as free uncombined elements in the earth's crust, which makes them to be referred to as
A
corrosive metals
B
reactive metals
C
natural metals
D
noble metals
medium Difficulty
Verified Correct Answer: Option D
Chemical Principles & Mechanism
Gold and silver are noble metals, because they are resistant to corrosion and oxidation, even at high temperatures.
Noble metals are a group of metals that are less reactive than other metals and are not easily corroded or oxidized.
Source: Myschool Past Questions Archive (Record #70220)
Chemistry
UTME / JAMB 2024
Matter & Separation Techniques
Solution
In the extraction of Aluminium, the silica impurity is removed by
A
electrolysis
B
filtration
C
reaction with H\(_2\)SO\(_4\)
D
precipitation
medium Difficulty
Verified Correct Answer: Option B
Chemical Principles & Mechanism
Aluminum is extracted from bauxite by electrolysis. The extraction proceeds in two stages;
1. Purification of the Bauxite: The impure bauxite is heated with sodium hydroxide solution to form soluble sodium tetrahydroxy aluminate (iii). The impurities in the ore which are iron (iii) oxide and trioxosilicate (iv) compounds are not soluble in the alkali. They are therefore filtered off as a sludge.
Aluminum hydroxide crystals is then added to filtrate, NaAl(OH)\(_4\) solution to induce the precipitation of Aluminum hydroxide.
2. The electrolysis of the pure alumina
Source: Myschool Past Questions Archive (Record #70221)
Chemistry
UTME / JAMB 2024
Matter & Separation Techniques
Solution
When Calcium ethynide is decomposed by water, the gas produced is
A
CO
B
H\(_2\)
C
C\(_2\)H\(_2\)
D
CH\(_4\)
medium Difficulty
Verified Correct Answer: Option C
Chemical Principles & Mechanism
In contact with water, calcium carbide instantly decomposes hydrolytically, yielding acetylene gas and calcium hydroxide.
Calcium ethynide is also known as calcium carbide.
CaC\(_2\) + 2H\(_2\)O → Ca(OH)\(_2\) + C\(_2\)H\(_2\)
Source: Myschool Past Questions Archive (Record #70224)
Chemistry
UTME / JAMB 2024
Acids, Bases, and Salts
Solution
The constituent of petroleum fraction used in surfacing road is
A
petrol
B
diesel
C
lubricating oil
D
bitumen
medium Difficulty
Verified Correct Answer: Option D
Chemical Principles & Mechanism
Bitumen is the petroleum product which is used for surfacing roads. It is also known as asphalt. It is used as an alternative for coal-tar.
Source: Myschool Past Questions Archive (Record #70225)