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English Language
UTME / JAMB 1990
Question Tags, Modals & Pronouns
Of the solutions proposed for the bookseller's problems, how many are actually positive?
A
two
B
three
C
four
D
none
medium Difficulty
Verified Correct Answer: Option D
Grammar & Contextual Explanation
No expanded working has been attached for this question yet. The verified answer is Option D.
Source: Myschool Past Questions Archive (Record #15035)
English Language
UTME / JAMB 1990
Reading Comprehension, Summary & Composition
The story of the old soldier and a book in the passage is an illustration of the point that
A
the general had already got a book
B
a book is of interest only to those to whom that book means something
C
soldiers do not like the book trade because a book is enough for a general
D
booksellers face a real dilemma because of a constantly changing clientele
medium Difficulty
Verified Correct Answer: Option D
Grammar & Contextual Explanation
No expanded working has been attached for this question yet. The verified answer is Option D.
Source: Myschool Past Questions Archive (Record #15036)
Physics
UTME / JAMB 1990
Units, Measurements & Dimensional Analysis
Which of the following is a fundamental unit?
A
Newton
B
Watt
C
Joule
D
Second
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option D.
Source: Myschool Past Questions Archive (Record #28211)
Physics
UTME / JAMB 1990
Current Electricity & Electric Circuits
Solution
A particle of mass M which is at rest splits up into two. If the mass and velocity of one of the particles are m and v respectively, calculate the velocity of the second particle
A
\(\frac{mv}{M}\)
B
\(\frac{Mv}{M - m}\)
C
\(\frac{mv}{M + m}\)
D
\(\frac{mv}{M - m}\)
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
(M - m)V2 = mv
V2 = \(\frac{mv}{M - m}\)
Source: Myschool Past Questions Archive (Record #28213)
Physics
UTME / JAMB 1990
Current Electricity & Electric Circuits
Which of the following statements are correct about an object in equilibrium under parallel forces? i. the total clockwise moments of the forces about any point equals the total anti-clockwise moments about the same point. ii. the total forces in one direction equals the total forces in the opposite direction. iii. the resolved components along the x-axis equals the resolved components along the y-axis.
A
i and ii only
B
i and iii only
C
ii and iii
D
i, ii, and iii only
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option A.
Source: Myschool Past Questions Archive (Record #28214)
Physics
UTME / JAMB 1990
Current Electricity & Electric Circuits
Solution
To keep a vehicle moving at a constant speed v, requires power P, from the engine. The force provided by the engine is
A
\(\frac{p}{v}\)
B
\(\frac{1}{2}\) v
C
pv
D
\(\frac{p}{v^2}\) v
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
power = speed x force
force = \(\frac{power}{speed}\)
Source: Myschool Past Questions Archive (Record #28217)
Physics
UTME / JAMB 1990
Work, Energy, Power & Simple Machines
Solution
A stone of mass m kg is held h meters above the floor for 50s. The work done in joules over this period is
A
mh
B
mgh
C
\(\frac{mgh}{50}\)
D
O
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
work = mgh(no motion)
Source: Myschool Past Questions Archive (Record #28218)
Physics
UTME / JAMB 1990
Newton's Laws, Momentum & Collisions
Solution
A body of mass 10kg rests on a rough inclined plane whose angle of tilt \(\theta\) is variable. \(\theta\) is gradually increased until the body starts to slide down the plane at 30o. The coefficient of limiting friction between the body and the plane
A
0.30
B
0.50
C
0.58
D
0.87
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
n = tan 30 = 0.58
Source: Myschool Past Questions Archive (Record #28220)
Physics
UTME / JAMB 1990
Work, Energy, Power & Simple Machines
Solution
An inclined plane which makes an angle of 30o with the horizontal has a velocity ratio of
A
2
B
1
C
0.866
D
0.50
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
V.R = \(\frac{1}{sin\theta}\)
= \(\frac{1}{sin30}\)
= 2
Source: Myschool Past Questions Archive (Record #28222)
Physics
UTME / JAMB 1990
Elasticity, Density, Pressure & Fluids
Solution
What is the length of liquid column in a barometer tube that would support an atmospheric pressure of 102000Nm-2 if the density of the liquid is 2600kgm-3? [g = 10ms-2]
A
0.75m
B
0.76m
C
3.92m
D
39.23m
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
pressure = g x density x height
102000 = 10 x 2600 x height
height = 3.92m
Source: Myschool Past Questions Archive (Record #28225)
Physics
UTME / JAMB 1990
Current Electricity & Electric Circuits
Solution
40m3 of liquid is mixed with 60m3 of another liquid Q. If the density of P and Q are 1.00kgm-3 and 1.6kgm-3 respectively, what is the density of the mixture?
A
0.05kgm-3
B
1.25kgm-3
C
1.30kgm-3
D
1.36kgm-3
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Mp = 1 x 40 = 40kg ; mQ = 1.6 x 60 = 96kg
volume of mixture = 40 + 60 = 100m3
mass of mixture = 40 + 96 = 136kg
density of mixture = \(\frac{136}{100}\)
= 1.36kgm3
Source: Myschool Past Questions Archive (Record #28230)
Physics
UTME / JAMB 1990
Current Electricity & Electric Circuits
Solution
The resistances of platinum wire at the ice and steam points are 0.75 ohm and 1.05 ohm respectively. Determine the temperature at which the resistance of the wire is 0.90 ohm
A
43.0oC
B
50.0oC
C
69.9oC
D
87.0oC
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
100oC .... 1.05\(\theta\)
\(\theta\)oC .... 0.9\(\theta\)
0oC .... 0.75\(\theta\)
\(\frac{\theta - 0}{100 - 0}\) = \(\frac{0.9 - 0.75}{1.05 - 0.75}\)
\(\theta\) = 50oC
Source: Myschool Past Questions Archive (Record #28235)
Physics
UTME / JAMB 1990
Temperature, Thermometry & Thermal Expansion
Solution
A bar of initial length /0 is heated through a temperature change \(\Delta\)t to a new length I. The linear expansivity, a, of the bar is
A
\(\frac{/ - /_o}{/ \Delta t}\)
B
\(\frac{/ - /_o}{/_o \Delta t}\)
C
/o(1 + \(\Delta\) t)
D
\(\frac{/ - /_o}{/(1 + \Delta t)}\)
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
\(\frac{L - L_o}{L_o \Delta t}\)
Source: Myschool Past Questions Archive (Record #28240)
Physics
UTME / JAMB 1990
Work, Energy, Power & Simple Machines
The pressure of a gas when cooled at constant volume will decrease because the molecules
A
collide less frequently with the walls of the container
B
have the same average kinetic energy
C
break up into smaller molecules
D
decrease in number
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option A.
Source: Myschool Past Questions Archive (Record #28242)
Physics
UTME / JAMB 1990
Calorimetry, Latent Heat & Change of State
Solution
1kg of copper is transferred quickly from boiling water to a block of ice. Calculate the mass of ice melted, neglecting heat loss. [specific heat capacity of copper 400Jkg-1K-1 and latent heat of fusion of ice 333 x 103Jkg-1]
A
60g
B
67g
C
120g
D
133g
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Heat lost = heat gained
1 x 400 x (100 - 0) = m x 333000
m = 0.12kg
converting to grams; 0.12 x 1000
= 120g
Source: Myschool Past Questions Archive (Record #28245)