Question Library
Browse, filter, and study verified past examination questions with step-by-step mathematical reasoning.
Searching 18,000+ Questions...
Sifting topics, KaTeX formulas & verified solutions
Showing 7756–7770 of 14893 verified questions
Sort by:
English Language
UTME / JAMB 2003
Synonyms (Nearest in Meaning)
Choose the option nearest in meaning to the underlined word(s).
The nurse was in favour of voluntary euthanasia?
A
a sleeping pill
B
a major operation
C
a painless death
D
a simple operation
E
a simple
medium Difficulty
Verified Correct Answer: Option C
Grammar & Contextual Explanation
No expanded working has been attached for this question yet. The verified answer is Option C.
Source: Myschool Past Questions Archive (Record #11758)
English Language
UTME / JAMB 2003
Synonyms (Nearest in Meaning)
Choose the option nearest in meaning to the underlined word(s).
There was a glut of oil on the market?
A
an abundance of
B
an increase in
C
a variety of
D
an accumulation of
medium Difficulty
Verified Correct Answer: Option A
Grammar & Contextual Explanation
No expanded working has been attached for this question yet. The verified answer is Option A.
Source: Myschool Past Questions Archive (Record #11759)
English Language
UTME / JAMB 2003
Oral English: Stress, Rhymes & Intonation
Solution
Choose the option that has the same stress pattern as the given word.
Typist
A
refuse (noun)
B
superb
C
propose
D
rebel (verb)
medium Difficulty
Verified Correct Answer: Option A
Grammar & Contextual Explanation
Typist - /ˈtaɪ.pɪst/
refuse (noun) - /ˈref.juːs/
superb - /suːˈpɜːb/
propose - /prəˈpəʊz/
rebel - /ri.'bel/
Source: Myschool Past Questions Archive (Record #11760)
English Language
UTME / JAMB 2003
Oral English: Stress, Rhymes & Intonation
Solution
Choose the option that has the same stress pattern as the given word.
CEment?
A
perfect (adjective)
B
include
C
interest
D
employ (noun)
medium Difficulty
Verified Correct Answer: Option A
Grammar & Contextual Explanation
they are certain rules and exceptions to stressing a word. you need to first of all be able to differentiate between nouns, verb, adjectives, compound words etc. with the knowledge of this, you can easily place the stress on the right syllable.
perfect is stressed as PERfect.
include is stressed as inCLUDE
interest is stressed as inTErest
employ is stressed at the second syllable as emPLOY
Therefore, perfect has the same word stress as cement on the first syllable.
NOTE; generally speaking words beginning with ‘un’ or ‘in’ have the stress on the second syllable.
Source: Myschool Past Questions Archive (Record #11761)
Physics
UTME / JAMB 2003
Atomic, Quantum, Nuclear Physics & Electronics
Solution
In a fission process, the decrease in mass is 0.01%. How much energy could be obtained from the fission of 0.1g of the material
A
\( 9.0 \times 10^{9}J \)
B
\( 9.0 \times 10^{10}J \)
C
\( 6.3 \times 10^{11}J \)
D
\( 9.0 \times 10^{11}J \)
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
In general, the energy released during nuclear fission is given by Einstein's mass-energy equation, given by
\( E = \Delta MC^2 \)
Where \( \Delta m\) is the mass defect, and C is the speed of light.
Therefore
\( \Delta m = 0.01% \text{of} 1.0g = \frac{0.01}{100}\times 1.0g \)
= 1.0 \(\times 10^{-4} \)
= 1.0 \(\times 10^{-7}kg\)
\(\text{Energy Released } = \Delta MC^2 \)
= 1.0 \(\times 10^{-7} \times (3.0 \times 10^8)^2\)
= 1.0 \(\times 10^{-7} \times 9.0 \times 10^{16} \)
= 9.0 \(\times 10^9 J \)
Source: Official Exam / Past Question Archive
Physics
UTME / JAMB 2003
Elasticity, Density, Pressure & Fluids
Solution
On top of a spiral spring of the force constant 500Nm-1 is placed a mass of 5 x 10-3 kg. If the spring is compressed downwards by a length of 0.02m and then released, calculate the height to which the mass is projected
A
8 m
B
4 m
C
2 m
D
1 m
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
K = 500Nm-1; M = 5 x 10-3kg; e = 0.02m;
g = 10ms-2. The elastic potential energy stored in the compressed spring is given by = 1/2Ke2, and the energy is transformed into gravitational potential energy = mgh, thus from the principle of energy conversion, we have that mgh = 1/2Ke2
5 x 10-3 x 10 x h = 1/2 x 500 x (0.02)2
∴ h = 1 x 500 x 0.02 x 0.022 x 5 x 10-3 x 10
= 5 x 2 x 0.02___10-1
= 10 x 0.02 x 10 = 2
∴ h = 2m
Source: Myschool Past Questions Archive (Record #12265)
Physics
UTME / JAMB 2003
Equilibrium of Forces, Moments & Flotation
Solution
A test tube of radius 1.0cm is loaded to 8.8g. If is placed upright in water, find the depth to which it would sink
A
2.8cm
B
5.2cm
C
25.5cm
D
28.0cm
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
To find the depth to which a test tube sinks when placed upright in water, we apply the principle of buoyancy.
Given:
- Radius of the test tube, \( r = 1.0 \, \text{cm} = 0.01 \, \text{m} \)
- Mass of the test tube, \( m = 8.8 \, \text{g} = 0.0088 \, \text{kg} \)
- Density of water, \( \rho = 1000 \, \text{kg/m}^3 \)
- Acceleration due to gravity, \( g = 10 \, \text{m/s}^2 \)
Calculate the weight of the test tube
The weight \( W \) of the test tube is given by:
\(W = mg = 0.0088 \, \text{kg} \times 10 \, \text{m/s}^2 = 0.088 \, \text{N}\)
Calculate the buoyant force
The buoyant force \( F_b \) is given by:
\(F_b = \rho g V_{\text{displaced}} = \rho g \pi r^2 h\)
But, the buoyant force is equal to the weight:
\(\rho g \pi r^2 h = W\)
Substituting the known values:
\(1000 \times 10 \times \pi \times (0.01)^2 \times h = 0.088\)
Solve for \( h \)
Rearranging gives:
\(h = \frac{0.088}{1000 \times 10 \times \pi \times (0.01)^2}\)
Calculating:
\(h = \frac{0.088}{1000 \times 10 \times \pi \times 0.0001} = \frac{0.088}{3.142} \approx 0.028 \, \text{m}\) ≈ 2.8cm
Source: Myschool Past Questions Archive (Record #12266)
Physics
UTME / JAMB 2003
Reflection, Refraction & Dispersion of Light
Diagram
Solution
The length of piece of glass block was measured by means of a vernier calliper as shown above. The length of the glass block is
Attached Figure / Diagram
A
1.63 cm
B
1.64 cm
C
1.65 cm
D
1. 66 cm
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
The length of the glass block = The main scale reading of the vernier calliper + the vernier scale reading
= 1.6 + 0.04 = 1.64cm.
Source: Myschool Past Questions Archive (Record #12267)
Physics
UTME / JAMB 2003
Current Electricity & Electric Circuits
Solution
A hose of cross-sectional area 0.5m2 is used to discharge water from a water tanker at a velocity of 60ms-1 in 20s into a container. If the container is filled completely, the volume of the container is
A
240m3
B
600m 3
C
2400m 3
D
6000m3
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Vol = cross-sectional area x length
∴ vol. of water disharged per sec
= 60ms-1 x 0.5m
= 30m3 5-1
=> Vol. of water discharged in the said 20s
= 30m3 x 20 = 600m3
∴ vol. of the container = 600m3
Source: Myschool Past Questions Archive (Record #12268)
Physics
UTME / JAMB 2003
Newton's Laws, Momentum & Collisions
Solution
If an object just begins to slide on a surface inclined at 30o to the horizontal,the coefficient of friction is
A
√3
B
√3/2
C
1/√2
D
1/√3
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
A body sliding down a plane inclined at 30o to the horizontal, has coefficient of friction
= tan 30o = 1/√3
Source: Myschool Past Questions Archive (Record #12269)
Physics
UTME / JAMB 2003
Elasticity, Density, Pressure & Fluids
Solution
Water does not drop through an open umbrella of silk materials unless the inside of the umbrella is touched. This is due to
A
capilarity
B
osmotic pressure
C
viscosity
D
surface tension
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Surface tension - The tendency of a liquid surface to behave as an elastic skin
Source: Myschool Past Questions Archive (Record #12270)
Physics
UTME / JAMB 2003
Current Electricity & Electric Circuits
Solution
The stylus of a phonograph record exerts a force of 7.7 x 10\(^{-2}\)N on a groove of radius 10\(^{-5}\)m. Compute the pressure exerted by the stylus on the groove
A
2.45 x 108 Nm-2
B
3.45 x 108 Nm-2
C
4.90 x 108 Nm-2
D
2.42 x 108 Nm-2
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Pressure P = \(\frac{F}{A}\); Pressure P = \(\frac{F}{\pi r^2}\)
= \(\frac{7.7 \times 10^{-2}}{\pi \times 10^{-10}}\)
= 2.45 x 10\(10^8\)Nm\(^{-2}\)
Source: Myschool Past Questions Archive (Record #12271)
Physics
UTME / JAMB 2003
Current Electricity & Electric Circuits
Solution
A piece of stone attached to one end of a string is whirled round in a horizontal circle and the string suddenly cuts. The stone will fly off in a direction
A
perpendicular to the circular path
B
parallel to the circular path
C
tangential to the circular path
D
towards the center of the circle
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
AS the stone is whirled round and te string suddenly cuts, say at A, B, C or D. The stone will fly off in the direction indicated VA, VB, VC or VD respectively which is tangential to the circular path
Source: Myschool Past Questions Archive (Record #12272)
Physics
UTME / JAMB 2003
Work, Energy, Power & Simple Machines
Solution
A 90cm uniform lever has a load of 30N suspended at 15cm from one of its ends. If the fulcrum is at the center of gravity, the force that must be applied at its other end to keep it in horizontal equilibrium is
A
15N
B
20N
C
30N
D
60N
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Since the lever is a uniform one, its center of gravity will be acting half way (i.e 45cm)
∴from the principle of moments,
F x 45 = 30 x 30
∴ F = (30 x 30) / 45 = 20N
Source: Myschool Past Questions Archive (Record #12273)
Physics
UTME / JAMB 2003
Circular Motion, Gravitation & Simple Harmonic Motion
Solution
A satellite is in a parking orbit if its period is
A
less than the period of the earth
B
more than the period of the earth
C
equal to the period of the earth
D
the square of the period of the earth
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
A satellite is said to be in a parking orbit if its period is exactly equal to the period of the earth as it turns its own orbit;. which is about 24hrs
Source: Myschool Past Questions Archive (Record #12274)