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Physics
UTME / JAMB 2020
Waves, Sound & Vibrations
Diagram
In which of the following diagrams is the length of the tube equal to one wavelength?
Attached Figure / Diagram
A
a
B
b
C
c
D
d
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option C.
Source: Myschool Past Questions Archive (Record #56926)
Physics
UTME / JAMB 2020
Atomic, Quantum, Nuclear Physics & Electronics
Solution
Which of the following pairs is part of the electromagnetic spectrum?
I. Radio waves
II. sound waves
III. Gamma rays
IV. water waves
A
I and II
B
III and IV
C
I and III
D
II and IV
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Examples of electromagnetic waves are radio waves, X-rays, gamma rays, light rays, etc
Source: Myschool Past Questions Archive (Record #56927)
Physics
UTME / JAMB 2020
Atomic, Quantum, Nuclear Physics & Electronics
Solution
A substance has half of 3 min. After 6 min, the count rate was observed to be 400. What was its count rate at zero time?
A
1600
B
1200
C
200
D
2400
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Let the count rate at zero time be N
N \(\frac{3 min}{\to}\) \(\frac{N}{2}\) \(\frac{3 min}{\to}\) \(\frac{N}{4}\)
\(\frac{N}{4}\)
= 400
N = \(\frac{400}{N/4}\) x N
= 1600
Source: Myschool Past Questions Archive (Record #56928)
Physics
UTME / JAMB 2020
Atomic, Quantum, Nuclear Physics & Electronics
Solution
A substance has half of 3 min. After 6 min, the count rate was observed to be 400. What was its count rate at zero time?
A
1600
B
1200
C
200
D
2400
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Let the count rate at zero time be N
N \(\frac{3 min}{\to}\) \(\frac{N}{2}\) \(\frac{3 min}{\to}\) \(\frac{N}{4}\)
\(\frac{N}{4}\)
= 400
N = \(\frac{400}{N/4}\) x N
= 1600
Source: Official Exam / Past Question Archive
Chemistry
UTME / JAMB 2020
Atomic Structure, Orbitals & Nuclear Chemistry
Solution
The electronic configuration of an element is 1S\(^2\) 2S\(^2\) 2P\(^6\) 3S\(^2\) 3P\(^3\). How many unpaired electrons are there in the element?
A
5
B
4
C
3
D
2
medium Difficulty
Verified Correct Answer: Option C
Chemical Principles & Mechanism
Once you figure out the electron configuration, you fill up the corresponding orbitals with electrons, any left with one is considered unpaired. Since 1s can only hold 2 electrons, and P has 15, that's obviously filled and has no unpaired electrons. The same is for 2s which holds 2, 2p which holds 6, 3s which holds 2.
However 3p can hold 6 electrons and in order for that to be filled up you would need to have an element of 18 electrons. So you fill up as much as you can in 3p by first adding 1 electron to each energy level. 3p has 3 energy levels and there are only 3 electrons left to distribute, so each of those energy levels only gets 1, because you have to fill them all with one before you can start adding a second.
So since you are only able to fill one electron in each of the three energy levels of the 3p orbital, that leaves the orbital open for 1 more electron in each of its energy levels. So there are 3 unpaired electrons in P.
Source: Myschool Past Questions Archive (Record #56633)
Chemistry
UTME / JAMB 2020
Nature of Matter & Separation Techniques
Solution
Which of the following can be obtained by fractional distillation?
A
Nitrogen from liquid air
B
Sodium Chloride from sea water
C
Iodine from solution of Iodine in carbon tetrachloride
D
Sulphur from the solution of sulphur in carbon disulphide
medium Difficulty
Verified Correct Answer: Option A
Chemical Principles & Mechanism
Fractional distillation is used to separate mixtures into its component parts or fractions with the difference in boiling points between successive fractions must be more than 10^\circC. An example is the liquid nitrogen and oxygen are then separated by fractional distillation .
Source: Myschool Past Questions Archive (Record #56634)
Chemistry
UTME / JAMB 2020
Kinetic Theory of Matter & Gas Laws
Solution
If the quantity of oxygen occupying 2.76L container at a pressure of 0.825 atm and 300k is reduced by one-half, what is the pressure exerted by the remaining gas?
A
1.650atm
B
0.825atm
C
0.413atm
D
0.275atm
medium Difficulty
Verified Correct Answer: Option C
Chemical Principles & Mechanism
Using the combined gas law formula,
In this problem, the oxygen is contained in a 2.76 L container at a temperature of 300 K. Since the gas remains in the same container and the temperature is not stated to change, both the volume( V) and the temperature (T) are constant.
The Ideal Gas Law is defined as: PV = nRT
Since the quantity of gas is reduced by one-half ( n\(_2\) = \(\frac{1}{2}\) n\(_1\)), the pressure must also be reduced by one-half.
P\(_2\) = \(\frac{1}{2}\) P\(_1\)
P\(_2\) = \(\frac{0.825}{2}\)
= 0. 4125 atm
Rounding to three decimal places (as provided in the options), the pressure is 0.413 atm.
Source: Myschool Past Questions Archive (Record #56752)
Chemistry
UTME / JAMB 2020
Periodic Table & Periodicity
Solution
Four elements P, Q, R and S have atomic numbers of 4, 10, 12 and 14 respectively. Which of these elements is noble gas?
A
P
B
Q
C
R
D
S
medium Difficulty
Verified Correct Answer: Option B
Chemical Principles & Mechanism
They are the most stable due to having the maximum number of valence electrons their outer shell can hold. Therefore, they rarely react with other elements since they are already stable.
Source: Myschool Past Questions Archive (Record #56753)
Chemistry
UTME / JAMB 2020
Non-Metals & Their Compounds
Solution
The products of the thermal decomposition of ammonium trioxonitrate(v) are?
A
Nitrogen (I) Oxide and Water
B
Ammonia and Oxide
C
Nitrogen and Water
D
Nitrogen (IV) Oxide and Water
medium Difficulty
Verified Correct Answer: Option A
Chemical Principles & Mechanism
NH\(_4\)NO\(_3\) Ammonium Trioxonitrate(V) , unlike all other metallic trioxonitrates(v), decomposes on heating to give nitrogen(i)oxide N\(_2\)O and water.
Source: Myschool Past Questions Archive (Record #56754)
Chemistry
UTME / JAMB 2020
Atomic Structure, Orbitals & Nuclear Chemistry
Solution
How many valence electrons are contained in the element \(^{31}_{15}P\)?
A
3
B
4
C
15
D
31
medium Difficulty
Verified Correct Answer: Option A
Chemical Principles & Mechanism
The element is Phosphorus in group 5 with valencies of 3 and 5.
The electronic configuration of phosphorus is 2,8,5. Hence it has two valencies of +5 and -3. Since we do not have 5 in the options provided, the valency is 3.
Source: Myschool Past Questions Archive (Record #56759)
Chemistry
UTME / JAMB 2020
Metals, Transition Elements & Extraction
Solution
Duralumin consists of aluminum, copper?
A
Zinc and Gold
B
Lead and Manganese
C
Nickel and Silver
D
Manganese and Magnesium
medium Difficulty
Verified Correct Answer: Option D
Chemical Principles & Mechanism
Duralumin is an alloy made up of 90% aluminum, 4% copper, 0.51% magnesium, and less than 1% manganese.
Source: Myschool Past Questions Archive (Record #56642)
Chemistry
UTME / JAMB 2020
Organic Chemistry II: Functional Groups, Polymers & Biomolecules
Solution
An example of a polysaccharide is?
A
Dextrose
B
Mannose
C
Glucose
D
Starch
medium Difficulty
Verified Correct Answer: Option D
Chemical Principles & Mechanism
Polysaccharides are long chains of monosaccharides linked by glycosidic bonds. Three important polysaccharides, starch, glycogen, and cellulose, are composed of glucose.
Source: Myschool Past Questions Archive (Record #56648)
Chemistry
UTME / JAMB 2020
Stoichiometry, Mole Concept & Volumetric Analysis
Solution
8g of CH\(_4\) occupies 11.2 at S.T.P. What volume would 22g of CH\(_3\)CH\(_2\)CH\(_3\) occupy under the same condition?
A
3.7dm\(^3\)
B
11.2dm\(^3\)
C
22.4dm\(^3\)
D
33dm\(^3\)
medium Difficulty
Verified Correct Answer: Option B
Chemical Principles & Mechanism
Molar mass of methane = 16g/mol
At S.T.P. its 8g occupies 11.2
so 16g occupies 22.4 dm\(^3\)
Molar mass of propane = 44g/mol\(^-1\) occupies 22.4dm\(^3\) at S.T.P
so 22g will occupy 11.2dm\(^3\)
Source: Myschool Past Questions Archive (Record #56699)
Chemistry
UTME / JAMB 2020
Stoichiometry, Mole Concept & Volumetric Analysis
Solution
The best treatment for a student who accidentally poured conc tetraoxosulphate(vi) on his skin in the laboratory is to wash his skin with?
A
with cool running water
B
sodium hydroxide solution
C
iodine solution
D
sodium trioxonitrate(v) solution
medium Difficulty
Verified Correct Answer: Option A
Chemical Principles & Mechanism
Sulfuric acid is flushed with a mild, soapy solution if the burns are not severe. Sulfuric acid feels hot when water is added to the acid, but it is better to flush the area and not leave the acid on the skin.
Don't try to neutralize the burn with acid or alkali. This could cause a chemical reaction that worsens the burn.
Source: Myschool Past Questions Archive (Record #56715)
Chemistry
UTME / JAMB 2020
Kinetic Theory of Matter & Gas Laws
Diagram
Solution
Which of the gas laws does this graph illustrate?
Attached Figure / Diagram
A
Boyle
B
Charles
C
Gay-Lussac
D
Graham
medium Difficulty
Verified Correct Answer: Option B
Chemical Principles & Mechanism
Charles' law describes the effect of temperature changes on the volume of a given mass of gas at a constant pressure.
Source: Myschool Past Questions Archive (Record #56725)