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English Language
UTME / JAMB 1998
Question Tags, Modals & Pronouns
Solution
Fill each of the gap with the appropriate option from the list following the gap.
The baby was rather ..... than i could bear?
A
much more troublesome
B
much too troublesome
C
so much troublesome
D
very much troublesome
medium Difficulty
Verified Correct Answer: Option A
Grammar & Contextual Explanation
The baby was rather much more troublesome than i could bear.
''Much more'' should only be used for things which are not individually countable. One hint might be not to use much more with a plural noun, it is used with a singular noun.
Source: Myschool Past Questions Archive (Record #11088)
English Language
UTME / JAMB 1998
Concord (Subject-Verb Agreement)
Fill each of the gap with the appropriate option from the list following the gap.
Students were forbidden ...... any secret society.
A
from joining
B
in joining
C
to join
D
on joining
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 #11089)
Physics
UTME / JAMB 1998
Magnetism, Electromagnetism & AC Circuits
Solution
In the AC circuit diagram above, the resonance frequency is
A
5000π Hz
B
2500π Hz
C
5000/π Hz
D
2500/π Hz
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
resonance frequency \(f_r\) = \(\frac{ 1}{ 2\pi \sqrt{LC}}\)
\(f_r\) = \(\frac{1}{2\pi \sqrt{5\times10^{-6} \times 8\times 10^{-3}}}\)
\(f_r\) = \(\frac{1}{ \pi 0.0004}\)
\(f_r\) = \(\frac{ 2500}{\pi}\)
Source: Official Exam / Past Question Archive
Physics
UTME / JAMB 1998
Current Electricity & Electric Circuits
Solution
A bullet fired at a wooden block of thickness 0.15m manages to penetrate the block. If the mass of the bullet is 0.025kg and the average resisting force of the wood is 7.5 x 103N, calculate the speed of the bullet just before it hits the wooden block.
A
450ms-1
B
400ms-1
C
300ms-1
D
250ms-1
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
F = ma
Therefore, a = \(\frac{F}{m}\)
a = \(\frac{7.5 \times 10^{3}}{0.025}\)
a = 3 x 105m/s2
using V2 = U2 + 2ax;
V2 = 02 + (2 x 3 x 105 x 0.15)
Therefore V = 300 m/s
Source: Myschool Past Questions Archive (Record #27576)
Physics
UTME / JAMB 1998
Atomic, Quantum, Nuclear Physics & Electronics
Solution
The velocity of a sound wave at 27oC is 360ms-1. Its velocity at 127oC is
A
120√3 ms-1
B
240 ms-1
C
240√3 ms-1
D
720√3 ms-1
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Velocity \(\alpha \sqrt{temperature}\)
\(\frac{V_1}{V_2} = \sqrt{\frac{T_1}{T_2}}\)
therefore, \(\frac{360}{V_2} = \sqrt{\frac{27 + 273}{127 + 273}}\)
\(V_2 = 240\sqrt{3}\)m/s
Source: Myschool Past Questions Archive (Record #27580)
Physics
UTME / JAMB 1998
Newton's Laws, Momentum & Collisions
Solution
The physical quantity that has the same dimensions as impulse is
A
energy
B
momentum
C
surface tension
D
pressure
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Impulse = F x t = m(v-u)
Source: Myschool Past Questions Archive (Record #27582)
Physics
UTME / JAMB 1998
Scalars, Vectors & Relative Motion
Solution
A ball is moving at 18ms\(^{-1}\) in a direction inclined at 60º to the horizontal. The horizontal component to its velocity is
A
9√3ms-1 ·
B
6√3ms-1 ·
C
8√3ms-1 ·
D
9ms-1 ·
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Since the angle is inclined to the horizontal,
The horizontal component of the velocity V\(_x\) = V x cos \(\theta\) = 18 x cos 60º = 9m/s
(NOTE: Cos 60º = 0.5)
Source: Myschool Past Questions Archive (Record #27584)
Physics
UTME / JAMB 1998
Linear Motion, Projectiles & Kinematics
Solution
In free fall, a body of mass 1kg drops from a height of 125m from rest in 5s. How long will it take another body of mass 2kg to fall from rest from the same height? [g = 10ms-1·]
A
5s
B
10s
C
12s
D
15s
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
In free fall, every object will reach the ground at same time
Source: Myschool Past Questions Archive (Record #27586)
Physics
UTME / JAMB 1998
Newton's Laws, Momentum & Collisions
Solution
A ball of mass 0.15kg is kicked against a rigid vertical wall with a horizontal velocity of 50ms-1. If it rebounced with a horizontal velocity of 30ms-1, Calculate the impulse of the ball on the ball · ·
A
3.0Ns
B
4.5Ns
C
7.5Ns
D
12.0Ns
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Impulse = m(v-u)
= 0.15(50--30)
= 0.15 X 80
= 12N/s
Source: Myschool Past Questions Archive (Record #27589)
Physics
UTME / JAMB 1998
Atomic, Quantum, Nuclear Physics & Electronics
Solution
The force of attraction between two point masses is 10-4N when the distance between them is 0.18m. If the distance is reduced to 0.06m, calculate the force.
A
1.1 x 10-5N
B
3.3 x 10-5N
C
3.0 x 10-4N
D
9.0 x 10-4N
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
F \(\alpha \frac{1}{r^2}\)
therefore, \(\frac{F_1}{F_2}\) = \(\frac{r_1}{(r_2)^2}\)
\(\frac{10^{-4}}{F_2}\) = \(\frac{(0.06)^2}{(0.18)^2}\)
F = 9 x 10-4N
Source: Myschool Past Questions Archive (Record #27601)
Physics
UTME / JAMB 1998
Current Electricity & Electric Circuits
Solution
A man whose mass is 80kg climbs a staircase in 20s and expends power of 120W. Find the height of the staircase.[g = 10ms-2]
A
1.8m
B
2.0m
C
2.5m
D
3.0m
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Power x time = mgh
120 x 20 = 80 x 10 x h
2400 = 800h
making h the subject of formula,divide both side by 800
\(\frac{2400}{800}\) = h
h = 3m
Source: Myschool Past Questions Archive (Record #27603)
Physics
UTME / JAMB 1998
Equilibrium of Forces, Moments & Flotation
A parachute attains a terminal velocity when
A
its density is equal to the density of air
B
the viscous force of the air and the upthrust completely counteract its weight
C
it expands as a result of reduced external pressure
D
the viscous force of the air is equal to the sum of the weight and upthrust
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option B.
Source: Myschool Past Questions Archive (Record #27604)
Physics
UTME / JAMB 1998
Work, Energy, Power & Simple Machines
Solution
In a wheel and axle mechanism the diameters of the wheel and axle are 40cm and 8cm respectively. Given that the machine is 80% efficient, what effort is required to lift a load of 100N?
A
20N
B
25N
C
50N
D
80N
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Efficiency = \(\frac{\text{work done by hand}}{\text{work done by effort}}\)
80 = \(\frac{100{\times 8}}{E {\times} 40}\) x \(\frac{100}{1}\)
E = 25N
Source: Myschool Past Questions Archive (Record #27605)
Physics
UTME / JAMB 1998
Current Electricity & Electric Circuits
Solution
The tendon in a man's leg is 0.01m long. If a force of 5N stretches the tendon by 2.0 x 10-5m, calculate the strain on the muscle.
A
5 x 106
B
5 x 102
C
2 x 10-3
D
2 x 10-7
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Strain = \(\frac{extension}{\text{original length}}\)
\(\frac{2 {\times} 10^{-5}}{0.01}\)
= 2 x 10-3
Source: Myschool Past Questions Archive (Record #27606)
Physics
UTME / JAMB 1998
Current Electricity & Electric Circuits
Solution
Which of these statements are correct for the pressures in liquids? i. pressure in a liquid at a point acts equally in all directions. ii. pressure increases with depth. iii. pressure at a depth depends on the shape of the container. iv. pressure at the same depth in different liquids are proportional to the density at different liquids.
A
i, ii, iii only
B
i, ii, iv only
C
i, iii, iv only
D
ii, iii, iv only
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
(i) Pressure in a liquid at a point acts equally in all directions. Pressure increases with depth and pressure at the same depth in different liquids is proportional to the density at different liquids are correct for the pressure in liquid
Source: Myschool Past Questions Archive (Record #27608)