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Physics
UTME / JAMB 2008
Lenses & Optical Instruments
Solution
In the microscope, the eyepiece lens merely acts as?
A
an inverter
B
a refiner
C
a diminisher
D
a magnifier
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
The basic function of microscope is magnification
Source: WAEC / JAMB / NECO Classroom Archive (Record #14057)
Physics
UTME / JAMB 2008
Lenses & Optical Instruments
Solution
Short sightedness can be corrected by what type of lens?
A
Concave lens
B
Convex lens
C
Converging lens
D
Mirrors
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Shortsightedness is corrected using a concave (curved inwards) lens which is placed in front of a myopic eye
Source: WAEC / JAMB / NECO Classroom Archive (Record #14058)
Physics
UTME / JAMB 2008
Units, Measurements & Dimensional Analysis
Solution
The dimension of electromotive force are?
A
ML2T-3I-1
B
ML2T-3I-2
C
M2LT-2I-1
D
M2L2T-1I-1
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Electrical work W = QE,
Where Q is the quantity of change and E is the electromotive force.
∴ E = W = FxDQ_It
Where D is the displacement,I = current and t = time
But dimension of force,
= unit of mass x unit of Acceleration
= unit of mass xunit of velocityunit of time
= unit of mass x unit of displacement__unit of time x unit of time
ML/T2 = MLT-2
∴ Dimension of emf E
= MLT-2L = ML2T-3I-1__IT
Source: WAEC / JAMB / NECO Classroom Archive (Record #14482)
Chemistry
UTME / JAMB 2008
Stoichiometry, Mole Concept & Volumetric Analysis
Solution
A hydrocarbon X with a molar mass of 26 consists of 92.3% carbon. What is its molecular formular?
A
C2H2
B
C3H3
C
C4H4
D
C5H5
medium Difficulty
Verified Correct Answer: Option A
Chemical Principles & Mechanism
% of H2 = 100 - 92.3 = 7.7%
mole = Carbon [92.3 / 12] = 7.7
Hydrogen [7.7 / 1] = 7.7
divide with the lowest:
Carbon - 7.1 / 7.1 = 1
Hydrogen - 7.1 / 7.1 = 1
empirical formula = CH
(CH)n = 26
(12 + 1)n = 26
(13)n = 26
n = 26/13 = 2
molecular formula = C\(_2\)H\(_2\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #4255)
Chemistry
WAEC / WASSCE 2008
Stoichiometry, Mole Concept & Volumetric Analysis
Solution
A hydrocarbon containing 88.9% carbon has the empirical formula [H = 1 C = 12]
A
CH
B
CH2
C
C2H3
D
C2H5
medium Difficulty
Verified Correct Answer: Option B
Chemical Principles & Mechanism
element : C | H
Atomic Mass : 12.011 | 1.008
mass in 100 g of compound 88.9 | 11.100
we calculate the number of moles by dividing the mass by the atomic mass
# moles in 100 g : 7.40155 | 11.01190
molar ratio 7.40155 : 11.01190
smallest No : 7.4015
divide by the smallest No. : 1.000 : 1.488
empirical formula is CH\(_2\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #37302)
Chemistry
UTME / JAMB 2008
Acids, Bases, pH & Salts
Solution
Insoluble salts can be prepared by?
A
titrating an alkali against an appropriate acid
B
reacting an acid with trioxocarbonate (IV) salt
C
directing combination of the elements which make up the salt
D
mixing two soluble compounds containing the metallic radical and the acidic radical
medium Difficulty
Verified Correct Answer: Option D
Chemical Principles & Mechanism
An insoluble salt can be prepared by a precipitation method through a double decomposition reaction.
Two soluble metal salts react with each other to form one soluble salt and one insoluble salt .
Lead nitrate solution and sodium chloride solution react to produce solid lead chloride , leaving soluble sodium nitrate in solution.
The lead chloride can be recovered by filtration.
Source: WAEC / JAMB / NECO Classroom Archive (Record #4047)
Chemistry
UTME / JAMB 2008
Water, Solutions & Solubility
Solution
In the course of purifying water for town supply the water is passed through large settlings tanks, containing sodium aluminate (III) to remove?
A
large particles
B
germs
C
fine particles
D
odour
medium Difficulty
Verified Correct Answer: Option C
Chemical Principles & Mechanism
Potash alum [kAl(S\({O}_4\))\(_2\)] n sodium aluminate (ii) (NaHCO\(_2\)) are added to cause coagulation.
As fine particles to clump together, forming large particles heavy enough to settle at the bottom of the tanks as impurities.
Source: WAEC / JAMB / NECO Classroom Archive (Record #4031)
Chemistry
NECO SSCE 2008
Chemical Bonding & Intermolecular Forces
Solution
The high boiling point of hydrogen fluoride can be explained in terms of?
A
covalent bonds.
B
dative bonds.
C
dipole-dipole bonds
D
electrovalent (ionic) bonds.
E
hydrogen bonds.
medium Difficulty
Verified Correct Answer: Option E
Chemical Principles & Mechanism
Hydrogen fluoride is formed through covalent bonding (electron sharing) between a hydrogen atom and a fluorine atom.
The reason is the strong electronegativity of the fluorine atom, which causes hydrogen and fluorine atoms to form hydrogen bonds in the liquid phase.
Source: WAEC / JAMB / NECO Classroom Archive (Record #43548)
Chemistry
WAEC / WASSCE 2008
Non-Metals & Their Compounds
Solution
Diamond does not conduct electricity because it?
A
has no free valence electrons
B
is a giant molecule
C
contains no bonded electrons
D
is a solid at room temperature
medium Difficulty
Verified Correct Answer: Option A
Chemical Principles & Mechanism
It does not conduct electricity. Every atom in a diamond is bonded to its neighbours by four strong covalent bonds, leaving no free electrons and no ions .
Source: WAEC / JAMB / NECO Classroom Archive (Record #37284)
Mathematics
UTME / JAMB 2008
Trigonometry, Elevation & Bearings
Solution
A student sitting on a tower 68 metres high observes his principal's car at the angle of depression of 20o. How far is the car from the bottom of the tower to the nearest metre?
A
184m
B
185m
C
186m
D
187m
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
Tan 20º = \(\frac{68m}{x}\)
x tan 20º = 68
x = \(\frac{68}{tan 20}\) = \(\frac{68}{0.364}\)
x = 186.8
= 187m
Source: Myschool Past Questions Archive (Record #29982)
Mathematics
WAEC / WASSCE 2008
Plane Geometry, Polygons & Circle Theorems
Solution
If x% of 240 equals 12, find x
A
x = 1
B
x = 3
C
x = 5
D
x = 7
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
x% of 240 = 12
\(\frac{x}{100} \times 240 = 12\)
x = \(\frac{12 \times 100}{240}\)
x = 5
Source: Myschool Past Questions Archive (Record #36318)
Mathematics
WAEC / WASSCE 2008
Algebraic Expressions, Polynomials & Factorisation
Solution
Evaluate \(\frac{(3.2)^2 - (4.8)^2}{3.2 + 4.8}\)
A
-0.08
B
-1.60
C
-10.24
D
-12.80
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
\(\frac{(3.2)^2 - (4.8)^2}{3.2 + 1.8} = \frac{(3.2 - 4.8)(3.2 + 4.8)}{(3.2 + 4.8)}\)
= 3.2 - 4.8
= -1.60
Source: Myschool Past Questions Archive (Record #36323)
Mathematics
WAEC / WASSCE 2008
Indices, Logarithms & Surds
Solution
Simplify \(\sqrt{50} + \frac{10}{\sqrt{2}}\)
A
10
B
10\(\sqrt{2}\)
C
20
D
20\(\sqrt{2}\)
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
\(\sqrt{50} + \frac{10}}{\sqrt{2}} = \(\frac{\sqrt{50}}{1} + \sqrt{10}{\sqrt{2}}\)
= \(\frac{\sqrt{50 \times 2} + 10}{\sqrt{2}}\)
= \(\frac{\sqrt{100} + 10}{\sqrt{2}}\)
= \(\frac{10 + 10}{\sqrt{2} = \frac{20}{\sqrt{2}}\)
= \(\frac{20}{\sqrt{2}}\) \times \frac{\sqrt{2}}{\sqrt{2}}\)
= \(\frac{20\sqrt{2}}{2}\)
= 10\(\sqrt{2}\)
Source: Myschool Past Questions Archive (Record #36326)
Mathematics
WAEC / WASSCE 2008
Fractions, Decimals, Percentages & Approximations
Solution
P naira invested for 4 years invested for 4 years at r% simple interest per annum yields 0.36 p naira interest. Find the value of r
A
1\(\frac{1}{9}\)
B
1\(\frac{4}{9}\)
C
9
D
11
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
I = \(\frac{PRT}{100}\)
where r = r% p.a; I = 0.36p
0.36p = \(\frac{P \times r \times 4}{100}\)
\(\frac{0.36 \times 100}{4}\) = r
r = 9
Source: Myschool Past Questions Archive (Record #36327)
Mathematics
WAEC / WASSCE 2008
Plane Geometry, Polygons & Circle Theorems
Solution
If p-2g + 1 = g + 3p and p - 2 = 0, find g
A
-2
B
-1
C
1
D
2
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
p - 2g + 1 = g + 3p.........(1)
p - 2 = 0 .........(2)
From (2), p = 2; put p = 2 into (1);
2 - 2g + 1 = g + 3(2)
3 - 2g = g + 6
-2g - g = 6 - 3
-3g = 3
g = \(\frac{3}{-3}\)
g = -1
Source: Myschool Past Questions Archive (Record #36335)