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Physics
WAEC / WASSCE 2003
Current Electricity & Electric Circuits
Solution
You are provided with a potentiometer x y; a jockey, J; a standard resistor, R, and other necessary apparatus.
Connect a circuit as shown in the diagram above.
Close the key. Read and record the current 10 when J is not in contact with XY.
Let J make contact with XY at C, such that XC = l= 25 cm. Close the key. Read and record the current l.
Evaluate I\(^{-1}\).
Repeat the procedure for four other values of I = 40, 55, 70, and 85 cm. Tabulate your readings.
Plot a graph of l on the vertical axis against I\(^{-1}\) on the horizontal axis.
From your graph, deduce the value of I when l\(^{-1}\) = 0. Evaluate \(\frac{|O}{1}\)
State two precautions taken to ensure accurate results.
(b)i) Explain what is meant by the potential difference between two points in an electric circuit.
ii. A piece of resistance wire of diameter 0.2m and resistance 7\(\Omega\) has a resistivity of 8.8 x 10\(^{-7}\) \(\Omega\)m. Calculate the length of the wire. [\(\pi\) = \(\frac{22}{7}\)].
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
Table of values/observation
\(l_o\) = 0.8A
S/N
L(cm)
l(A)
(L\(^{-1}\)cm\(^{-1}\))
1
25.0
1.20
0.040
2
40.0
1.00
0.025
3
55.0
0.95
0.018
4
70.0
0.85
0.014
5
85.0
0.8
0.012
When 1\(^{-1}\) =0, l = 0.66A
\(\frac{|_{o}}{|} = \frac{0.8}{0.66}\) = 1.212
Precautions:
The Key was open when readings were not being taken.
Tight connections were ensured.
Parallax errors were avoided in reading the meter-rule
Zero error was noted in reading metre-rule
The jockey was not rolled on or allowed to scratch the wire
(b) The p.d between two points is the work done (in joules) in moving an electric charge of one coulomb across the two points.
ii. R = \(\frac{PL}{A} = \frac{4pL}{\pi d^{2}}\)
d = 0.2m, \(\pi\) = \(\frac{22}{7}\), R = 7\(\Omega\), p = 8.8 x 10\(^{-7} \pi \), L = ?
\(\therefore\) 7 = \(\frac{4 \times 8.8 \times 10^{-7} \times L}{\frac{22}{7} \times (0.2)^{2}}\)
7 = \(\frac{4 \times 8.8 \times 10^{-7} \times L \times 7}{22 \times 0.04} = \frac{28 \times 8.8 \times 10^{-7} \times L}{0.88}\)
L = \(\frac{7 \times 0.88}{28 \times 8.8 \times 10^{-7}}\)
L = \(\frac{6.16}{246.4}\) x 10\(^{-7}\)
L = 0.025 x 10\(^{7}\)
L = 2.5 x 10\(^{-2}\) x 10\(^{7}\)
L = 2.5 x 10\(^{5}\)
Source: Myschool Past Questions Archive (Record #60107)
Chemistry
UTME / JAMB 2003
Kinetic Theory of Matter & Gas Laws
Solution
What volume of oxygen is produced from the decomposition of 2 mole of KCIO3 at s.t.p?
[Molar volume of a gas at s.t.p = 22.4 dm3]
A
22.4 dm3
B
33.6 dm3
C
44.8 dm3
D
67.2 dm3
medium Difficulty
Verified Correct Answer: Option D
Chemical Principles & Mechanism
2KClO3 → 2KCl + 3O2
3 moles of oxygen is produced
1 moles of oxygen is 22.4 dm3
3 moles of oxygen is 67.2 dm3
Source: Myschool Past Questions Archive (Record #2226)
Chemistry
UTME / JAMB 2003
Nature of Matter & Separation Techniques
Solution
Which of the following is physical change?
A
Burning kerosene
B
Freezing ice cream
C
Exposing white phosphorus
D
Dissolving calcium in water
medium Difficulty
Verified Correct Answer: Option B
Chemical Principles & Mechanism
Option A, C and D are irreversible but option B is reversible because the frozen ice cream can undergo melting and turn into liquid and vice versa, hence no new substance is formed.
Source: Myschool Past Questions Archive (Record #2227)
Chemistry
UTME / JAMB 2003
Stoichiometry, Mole Concept & Volumetric Analysis
Solution
What is the percentage by mass of oxygen in Al2(SO4)3. 2H2O?
[Al = 27, S = 32, H = 1, O = 16]
A
14.29%
B
25.39%
C
50.79%
D
59.25%
medium Difficulty
Verified Correct Answer: Option D
Chemical Principles & Mechanism
Al2(SO4)3. 2H2O
2 * 27 + 3*32 + 14 * 16 + 4 * 1 =
54 + 96 + 224 + 4 = 378
% O2 = (224/378) * (100/1) = 59.25%
Source: Myschool Past Questions Archive (Record #2231)
Chemistry
UTME / JAMB 2003
Nature of Matter & Separation Techniques
Solution
The filter in the cigarette reduces the nicotine content by
A
Burning
B
Adsorption
C
Evaporation
D
Absorption
medium Difficulty
Verified Correct Answer: Option B
Chemical Principles & Mechanism
The nicotine content is a solute carried by the smoke (mobile phase) and it is removed by the filter (stationary phase) by adsorption. Adsorption is the process by which a solid holds molecules of a gas or liquid or solute as a thin film.
Source: Myschool Past Questions Archive (Record #2233)
Chemistry
UTME / JAMB 2003
Stoichiometry, Mole Concept & Volumetric Analysis
Solution
3Cu + pHNO3 →3Cu(NO)2 + 4H2 O + xNO
In the equation above, the values of p and x respectively are
A
1 and 3
B
2 and 3
C
6 and 2
D
8 and 2
medium Difficulty
Verified Correct Answer: Option D
Chemical Principles & Mechanism
The examiner wishes to test your knowledge on balancing of chemical equation.
To balance, calculate the total number of H atom on the RHS, and balance with one on the LHS, you'll discover it's 8. That would be the value of P.
Next will be the number of moles of NO on the RHS, you'll discover it is 2.
Thus, P = 8 while X = 2 .
Source: Myschool Past Questions Archive (Record #2234)
Chemistry
UTME / JAMB 2003
Atomic Structure, Orbitals & Nuclear Chemistry
Solution
Neutral atoms of neon with atomic number 10 have the same number of electron as
A
O2+
B
Ca2+
C
K+
D
Mg2+
medium Difficulty
Verified Correct Answer: Option D
Chemical Principles & Mechanism
Neutral atom of Ne has 10 electrons. Similarly, Mg\(^{2+}\) has 12 protons(atomic number) and 10 electrons because Mg\(^{2+}\) will donate or give out 2 electrons from the 12 and become reduced to 10 electrons. On the other hand, O\(^{2+}\), Ca\(^{2+}\), and K\(^+\) all have 6, 18 and 18 electrons respectively.
Source: Myschool Past Questions Archive (Record #2235)
Chemistry
UTME / JAMB 2003
Periodic Table & Periodicity
Solution
The noble gases owe their inactivity to
A
Octet configuration
B
Cyclic shape
C
Hexagonal shape
D
Obtuse configuration
medium Difficulty
Verified Correct Answer: Option A
Chemical Principles & Mechanism
Noble gases, also known as inert gases, are chemically inert because their outer electron shells are completely filled with electrons. i.e their octet configuration
Source: Myschool Past Questions Archive (Record #2236)
Chemistry
UTME / JAMB 2003
Kinetic Theory of Matter & Gas Laws
Solution
According to the kinetic theory, an increase in temperature causes the kinetic energy of particles to
A
Decrease
B
Increase
C
Remain constant
D
Be zero
medium Difficulty
Verified Correct Answer: Option B
Chemical Principles & Mechanism
Kinetic energy is a measure of the motion of particles, and when temperature increases, the particles absorb energy and move faster. This results in an increase in the kinetic energy of the particles.
Source: Myschool Past Questions Archive (Record #2237)
Chemistry
UTME / JAMB 2003
Metals, Transition Elements & Extraction
Solution
I. H = 1S\(^1\) II. N = 1S\(^2\) 2S\(^2\)2P\(^3\) III. O = 1S\(^2\) 2S\(^2\) 2P\(^4\) IV. Zn = 1S\(^2\) 2S\(^2\) 2P\(^6\) 3S\(^2\) 3P\(^6\) 4S\(^2\) 3d\(^{10}\)
From the above, which of the following pairs is like to be paramagnetic?
A
I and II
B
I and III
C
I and IV
D
III and IV
medium Difficulty
Verified Correct Answer: Option B
Chemical Principles & Mechanism
Paramagnetic materials are materials that tend to get weakly magnetized in the direction of the magnetizing field when placed in a magnetic field. Paramagnetic elements are elements that have at least one unpaired electron and are slightly attracted to magnetic fields.
Examples: Copper, gold, antimony, bismuth, silver, lead, silicon, mercury, water, Oxygen, hydrogen, nitrogen, etc
By elimination method, options C and D are eliminated because of Zinc, which is diamagnetic as it has no unpaired electron. Between options A and B, both have H present with difference of Oxygen and Nitrogen, with Oxygen being more paramagnetic than Nitrogen because molecular oxygen (O2) is paramagnetic and is attracted to the magnet. In contrast, molecular nitrogen (N2) has no unpaired electrons and is diamagnetic; it is unaffected by the magnet.
Source: Myschool Past Questions Archive (Record #2238)
Chemistry
UTME / JAMB 2003
Kinetic Theory of Matter & Gas Laws
Solution
A gas exerts pressure on its container because
A
some of its molecules are moving faster than others
B
of the collision of the molecules with each other
C
of the mass of the molecules of gas
D
the molecules of a gas collide with the walls of the container
medium Difficulty
Verified Correct Answer: Option D
Chemical Principles & Mechanism
A gas exerts pressure on the walls of the container as the particles of gas move randomly in all directions at high speed. As a result, the particles hit each other and also hit the walls of the container with force. However, gases exert pressure on their containers because the constant, random motion of gas molecules causes them to collide with the container walls, transferring momentum and resulting in a force, which is pressure.
Source: Myschool Past Questions Archive (Record #2251)
Chemistry
UTME / JAMB 2003
Electrolysis & Electrochemical Cells
Solution
When cathode rays are deflected onto the electrode of an electrometer, the instrument becomes
A
negatively charged
B
positvely charged
C
neutral
D
bipolar
medium Difficulty
Verified Correct Answer: Option A
Chemical Principles & Mechanism
When cathode rays are deflected onto the electrode of an electrometer, the instrument becomes negatively charged. Cathode rays are streams of fast-moving electrons that are negatively charged. When they are deflected towards a positive electrode, it demonstrates that they are negatively charged. This is because opposite charges attract each other.
Source: Myschool Past Questions Archive (Record #2252)
Chemistry
UTME / JAMB 2003
Chemical Bonding & Intermolecular Forces
Solution
The weakest attractive force that can be observed between two molecules is
A
ionic
B
covalent
C
coordinate covalent
D
van der Waals
medium Difficulty
Verified Correct Answer: Option D
Chemical Principles & Mechanism
The weakest attractive force between two molecules is the London dispersion force, also known as an induced dipole-induced dipole attraction. London dispersion forces are a type of van der Waal force, which are weak intermolecular forces that determine the physical and chemical properties of substances
Source: Myschool Past Questions Archive (Record #2253)
Chemistry
UTME / JAMB 2003
Atomic Structure, Orbitals & Nuclear Chemistry
Solution
Which of the following ions is acidic?
A
K+
B
KNO3-
C
S2-
D
H3O+
medium Difficulty
Verified Correct Answer: Option D
Chemical Principles & Mechanism
Acids are substances which produces hydrogen ions (or protons) as the only positive ion when dissolved in water.
\(H_{3}O^{+} \to 2H^{+} + OH^{-}\)
Source: Myschool Past Questions Archive (Record #2256)
Chemistry
UTME / JAMB 2003
Organic Chemistry II: Functional Groups, Polymers & Biomolecules
Solution
The structural component that makes detergent dissolve more quickly in water than soap is
A
-SO3- Na+
B
-COO-Na-
C
-SO4- Na+
D
-COO-K+
medium Difficulty
Verified Correct Answer: Option A
Chemical Principles & Mechanism
Soaps are made up of a fatty acid with a long alkyl chain and a '-COONa' group, while detergents are made up of a long alkyl chain and a '-SO3 Na\(^+\) group. The polar sulfonate in detergents makes them more soluble in hard water than soaps because it's less likely to bind to calcium and other ions in hard water.
Source: Myschool Past Questions Archive (Record #2257)