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Physics
UTME / JAMB 2006
Elasticity, Density, Pressure & Fluids
Diagram
Solution
The diagram above represents the stress-strain graph for a typical metal rod. What does the X represent?
Attached Figure / Diagram
A
Breaking point
B
Yield point
C
Elastic limit
D
Proportional limit
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
In the stress - strain graph shown above, X represents the breaking point of the wire
Source: Myschool Past Questions Archive (Record #14282)
Physics
UTME / JAMB 2006
Current Electricity & Electric Circuits
Solution
The motion of smoke particles from a chimney is typical of?
A
random motion
B
circular motion
C
rotational motion
D
oscillatory motion
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Smoke particles move chaotically and unpredictablely due to their collisions with air molecules, which characterizes random motion.
Source: Myschool Past Questions Archive (Record #13880)
Physics
UTME / JAMB 2006
Current Electricity & Electric Circuits
Diagram
Solution
In the diagram above, the pressure of the gas is
Attached Figure / Diagram
A
86 cm of mercury
B
66 cm of mercury
C
96 cm of mercury
D
76 cm mercury
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Pressure of the Gas, P = A + h
= 76 + 10
86 cm Hg
Source: Myschool Past Questions Archive (Record #14329)
Physics
UTME / JAMB 2006
Current Electricity & Electric Circuits
Solution
A mirror of weight 75N is hung by a cord from a hook on the wall. If the cord makes an angle of 30o with horizontal, the tension in the cord is
A
100N
B
1500N
C
250N
D
150N
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
For vertical equilibrium, we have
2Ty = 75N
But \(\frac{Ty}{T}\) = \(\frac{adj}{hyp}\) = cos 60º
∴ Ty = T Cos 60º
=> 2Ty = 2Tcos 60º = 75N
2 x T x 0.5 = 75 => T = 75N
∴ Total tension in the rope = 2 T.
= 2 x 75 = 150N
Source: Myschool Past Questions Archive (Record #14330)
Physics
UTME / JAMB 2006
Units, Measurements & Dimensional Analysis
Solution
In a gas experiment, if the volume of the gas is plotted against the reciprocal of the pressure, the unit of the slope of the resulting curve is
A
force
B
temperature
C
power
D
work
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
IF the volume of gas is plotted against the reciprocal of pressure, the slope will be given as
Slope = V/1/P = P x V
thus the unit of the slope will be;
P = ForceArea
= Nm-2, = V = M3 = NM.
The unit NM (Newton - Meter) is the practical unit of work, which is the product of force (N) and Displacement (M).
Note: It should be noted that the practical unit of work is Newton-Meter, whereas its S.I unit is Joules, just as energy.
Source: Myschool Past Questions Archive (Record #14331)
Physics
UTME / JAMB 2006
Linear Motion, Projectiles & Kinematics
Solution
A shooter wants to fire a bullet in such a way that its horizontal range is equal to three times its maximum height. At the what angle should he fire the bullet to achieve this?
A
68o
B
53o
C
30o
D
45o
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Horizontal range = 3 x maxi. height
=> (U2Sin2θ) / g = (3 x U2sin2θ) / 2g
∴sin2θ = 3sin2θ2
=> 2sinθcosθ = 3sin2θ2
∴ 4sinθcosθ = 3sin2θ
=> 4cosθ = 3sinθ
∴ sinθ/cosθ = 4/3; => tanθ = 4/3 = 1.3333
θ = tan-1 (1.3333)
= 53o
Source: Myschool Past Questions Archive (Record #14332)
Physics
UTME / JAMB 2006
Current Electricity & Electric Circuits
Solution
An engine of a car of power 80 kW moves on a rough road with a velocity of 32 m\(s^-1\). The forces required to bring it to rest is
A
2.56 x 106N
B
2.50 x 106N
C
2.80 x 103N
D
2.50 x 103N
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Power = force x velocity
=> 80,000 = F x 32
F = \(\frac{80000}{32}\)
= 2500N
= 2.50 x \(10^3\)N
Source: Myschool Past Questions Archive (Record #14333)
Physics
UTME / JAMB 2006
Waves, Sound & Vibrations
Solution
A progressive wave equation is represented by y = a sin(150 \pit - \(\frac{\pix}{4}\)). if the phase difference of a progressive wave is 45^\circ, the value of x in the equation is
A
3 cm
B
4 cm
C
1 cm
D
2 cm
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Y = sin \pi(150\pit - \(\frac{\pix}{4}\))
Comparing the above with the standard wave equation:
Y = A sin \pi (\(\frac{(2vt)}{\lambda}\) - \(\frac{(2x)}{\lambda}\))
=> the phase difference \(\frac{x}{4}\) = \(\frac{2x}{\lambda}\)
∴ \(\frac{1}{4}\) = \(\frac{2}{\lambda}\) => \lambda = 8cm
∴ \(\frac{2\pix}{8}\) = 45^\circ
since \pi = 180^\circ
45^\circ X 8 = 2 X 180^\circ x
∴ x = 1cm
Source: Myschool Past Questions Archive (Record #14334)
Physics
UTME / JAMB 2006
Current Electricity & Electric Circuits
Diagram
Solution
The frequency of the wave in the diagram above is
Attached Figure / Diagram
A
0.17 Hz
B
0.25 Hz
C
1.57 Hz
D
1.05 Hz
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Generally, period T = 1/f(reciprocal of frequency).
=> f = 1/T
And from the diagram, period T = 4s
∴ frequency, f = 1/T = 1/4 = 0.25 Hz
Source: Myschool Past Questions Archive (Record #14335)
English Language
UTME / JAMB 2006
Reading Comprehension, Summary & Composition
Solution
The phrase political hysteria, as used in the passage means
A
hatred and rivalries
B
anxiety and misunderstanding
C
crisis and confusion
D
tension and ill feeling
medium Difficulty
Verified Correct Answer: Option D
Grammar & Contextual Explanation
Political Hysteria is a political movement that stems from fear.
Source: Myschool Past Questions Archive (Record #15476)
English Language
UTME / JAMB 2006
Reading Comprehension, Summary & Composition
Solution
according to the passage the desirable newspaper is that which
A
does not create political hysteria
B
is eclectic and modest
C
is intellectual and unbiased
D
is popular and sensational and has a slight political favour
medium Difficulty
Verified Correct Answer: Option C
Grammar & Contextual Explanation
The last paragraph gives a summary of what should be the ideal function of a newspaper.
Source: Myschool Past Questions Archive (Record #15478)
English Language
UTME / JAMB 2006
Lexis, Structure & Register (Cloze & Vocabulary)
Solution
An appropriate tittle for this passage is
A
The Ideal Daily Newspaper
B
The Political Hysteria of a Daily Newspaper
C
The Logic of Press Freedom
D
Three Ideal Functions of a Daily Newspaper
medium Difficulty
Verified Correct Answer: Option A
Grammar & Contextual Explanation
The article is about the ideal daily newspaper.
Source: Myschool Past Questions Archive (Record #15479)
English Language
UTME / JAMB 2006
Reading Comprehension, Summary & Composition
Solution
which of the following best summarizes the argument in the passage?
A
There are three laudable though unequal ways of news presentation by a daily paper
B
A good newspaper is that which is simple, logical and balanced in its news coverage
C
Press freedom is an important feature of a daily newspaper
D
There are three obvious functions of a daily newspaper
medium Difficulty
Verified Correct Answer: Option B
Grammar & Contextual Explanation
A good newspaper is one that is simple, logical, and balanced in its news coverage.
Source: Myschool Past Questions Archive (Record #15481)
English Language
UTME / JAMB 2006
Reading Comprehension, Summary & Composition
Solution
The writer seems to suggest that
A
objectivity, simplicity and clarity are the hallmarks of good journalism
B
the important function of a daily newspaper is to further develop the news headlines which the radio usually produces
C
sensational reporting is a feature of press freedom
D
there can be no unbiased newspaper presentation
medium Difficulty
Verified Correct Answer: Option A
Grammar & Contextual Explanation
objectivity, simplicity and clarity are the hallmarks of good journalism
Source: Myschool Past Questions Archive (Record #15483)
English Language
UTME / JAMB 2006
Question Tags, Modals & Pronouns
Solution
from the last paragraph, it can be concluded that
A
the effect of women's liberation are felt only at home and at work
B
the women liberation movement has brought untold hardship on many Nigerian men
C
the liberation movement is women's reaction to men's action
D
Nigerian men are opposed to the women liberation movement
medium Difficulty
Verified Correct Answer: Option C
Grammar & Contextual Explanation
The liberation movement is women's reaction to men's action
Source: Myschool Past Questions Archive (Record #15486)