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English Language
UTME / JAMB 2007
Lexis, Structure & Register (Cloze & Vocabulary)
There should be a playing field for women entering politics?
A
Women should not be allow enter politics
B
Sports facilities should be provided should be given to women who wants to hear politics
C
Special privileges should be given to women who wants to enter politics
D
Men and women should be able to compete in the political arena on an equal basis
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 #12289)
English Language
UTME / JAMB 2007
Concord (Subject-Verb Agreement)
Select the option that best explains the information conveyed in the sentence.
Thanks to that phone call, I obtain the visa.
A
In spite of that phone call, I obtained the visa
B
It was because of that phone call that I obtained the visa
C
I am greatful to whoever phoned me, and I obtained the visa
D
If I had not receive that phone call, I would not obtained the visa
medium Difficulty
Verified Correct Answer: Option B
Grammar & Contextual Explanation
No expanded working has been attached for this question yet. The verified answer is Option B.
Source: Myschool Past Questions Archive (Record #12307)
English Language
UTME / JAMB 2007
Idioms, Figurative Expressions & Sentence Interpretation
Solution
Select the option that best explains the information conveyed in the sentence.
Ado and Abu are always together these days. They must be up to something?
A
They must have reconciled after their quarrel
B
They are probably planning something bad
C
They are capable of a praiseworthy achievement
D
They bear some responsibility for what has happened
medium Difficulty
Verified Correct Answer: Option B
Grammar & Contextual Explanation
The key phrase in the sentence is: "They must be up to something." This is an idiomatic expression in English, which implies suspicion of secretive or mischievous behaviour.
Source: Myschool Past Questions Archive (Record #12316)
Physics
UTME / JAMB 2007
Circular Motion, Gravitation & Simple Harmonic Motion
Solution
A gramophone record takes 5s to reach its constant angular velocity of 4\(\pi\) rads-1 from rest. Find its constant angular acceleration.
A
0.4\(\pi\) rads-2
B
0.8\(\pi\) rads-2
C
1.3\(\pi\) rads-2
D
20.0\(\pi\) rads-2
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
From the radiation:
V = +at, and if it starts from N & T, U = 0
And for angular motion, W = O + at
4R = aχ5
∴ a = (4a)/5 = 0. 8\(\pi\) rads-2
Source: Myschool Past Questions Archive (Record #13903)
Physics
UTME / JAMB 2007
Circular Motion, Gravitation & Simple Harmonic Motion
Solution
A car of mass 1500 kg goes round a circular curve of radius 50m at a speed of 40 ms-1. The magnitude of the centripetal force on the car is ?
A
4.8 x 104 N
B
4.8 x 103 N
C
1.2 x 103 N
D
1.2 x 102 N
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Centipetal force of the car = ma = \(\frac{(MV^2)}{\text{r}}\)
= \(\frac{(1500 \times 40 \times 40}{50}\)
= 48000 = 4.8 x 10\(^4\) N
Source: Myschool Past Questions Archive (Record #13904)
Physics
UTME / JAMB 2007
Current Electricity & Electric Circuits
Solution
Two spheres of masses 5.0 kg and 10.0 kg are 0.3 m apart. Calculate the force of attraction between them?
[G = 6.67 X 10-11 Nm2 Kg\(^{-2}\)]
A
3.50 x 10-10N
B
3.71 x 10-8 N
C
3.57 x 10-2N
D
4.00 x 102N
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
The force of attraction between the two spheres is given by F (GM1 M2)/r2 = (6.67X 10-11 X5X10)/(0.3)2
= 3.71 X 10-8N.
Source: Myschool Past Questions Archive (Record #13909)
Physics
UTME / JAMB 2007
Work, Energy, Power & Simple Machines
Solution
A machine has a velocity ratio of 4. if it requires 800 N to overcome a load of 1600 N,what is the efficiency of the machine?
A
60%
B
50%
C
40%
D
2%
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Efficiency = (M.A)/V.R X (100)/1
But M.A = (Load)/Effort = (1600)/800 = 2
Efficiency = (2)/4 x (100)/1 = 50%
Source: Myschool Past Questions Archive (Record #13916)
Physics
UTME / JAMB 2007
Elasticity, Density, Pressure & Fluids
Solution
A reservoir 500 m deep is filled with a fluid of density 850 kgm-3. If the atmospheric pressure is 1.05 x 105 Nm-2, the pressure at the bottom of the reservoir is.
[g = 10ms-2]
A
4.72 x 106 Nm-2
B
4.36 x 106 Nm-2
C
4.28 x 106 Nm-2
D
4.25 x 106 Nm-2
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
In general, pressure varies with depth in the relation p = \(\rho\)gh
= 850 x 10 x 500
= 4250000
= 4.25 x 10\(^6\) Nm\(^{-2}\)
Therefore, Total pressure = 1.05 x 10\(^5\) + 4.25 x 10\(^6\) = 4.36 x 10\(^6\) Nm\(^{-2}\)
Source: Myschool Past Questions Archive (Record #13917)
Physics
UTME / JAMB 2007
Equilibrium of Forces, Moments & Flotation
Solution
The unit of moment of a couple can be expressed in?
A
N m-1
B
N m-2
C
N m
D
N m2
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
The unit of a couple is Newton-meter (N M)
Source: Myschool Past Questions Archive (Record #13902)
Physics
UTME / JAMB 2007
Current Electricity & Electric Circuits
Solution
A piece of iron weights 250 N in air and 200 N in a liquid of density 1000 kgm-3. the volume of the iron is?
A
5.0 x 10-3 m-3
B
4.5 x 10-3 m-3
C
2.5 x 10-3 m-3
D
2.0 x 10-3 m-3
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Wt in the air = 250N
wt. in the liquid = 200N
loss in wt. in the liquid = 250 - 200 = 50N
∴ mass of liquid displaced = 50N → 5kg
∴If the density of the liquid is 1000kgm-3
then the volume of the liquid = (M)/D = V = (5kg)/1000 = 0.005 → 5.0 X \(10^{-3}\)\(m^3\)
Source: Myschool Past Questions Archive (Record #13918)
Physics
UTME / JAMB 2007
Temperature, Thermometry & Thermal Expansion
Solution
A clinical thermometer is different from other mercury in glass thermometers owing to
A
the constriction on its stem
B
the grade of mercury used in it
C
its long stem
D
its wide range of temperatures
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
The constriction in the stem of a clinical thermometer prevents the mercury from returning to the bulb after the temperature has been taken, allowing for a more accurate reading. This feature is what distinguishes it from other types of mercury thermometers, which do not typically have this constriction
Source: Myschool Past Questions Archive (Record #13919)
Physics
UTME / JAMB 2007
Temperature, Thermometry & Thermal Expansion
Solution
I. Use a liquid with a high melting point.
II. use a liquid of high volume expansivity.
III. use a capillary tube of large diameter.
which of the above best describes how the sensitivity of a liquid-in-glass thermometer can be enhanced?
A
I only
B
II. only
C
I and II only
D
II and III only
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Using the liquid of high volume expansively II only
Source: Myschool Past Questions Archive (Record #13924)
Physics
UTME / JAMB 2007
Calorimetry, Latent Heat & Change of State
Solution
2 kg of water is heated with a heating coil which draws 3.5 A from a 200 V mains for 2 minutes. what is the increase in temperature of the water?
[specific heat capacity of water = 4200 jkg -1k-1]
A
30°
B
25°
C
15°
D
10°
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Electricity heat energy supplies by the heater = lvt = 3.5 x 200 x (2 x 60) = 84000j.
and this heat is supplied to the 2 kg of the water MC ∆ t = 84000
2 x 4200 x ∆ t = 84000
∴ ∆t = (84000)/8400 = 10°c
∴ increase in temp. of water = 10°c
Source: Myschool Past Questions Archive (Record #13928)
Physics
UTME / JAMB 2007
Calorimetry, Latent Heat & Change of State
Solution
I. Increase the melting point of the liquid.
II. Increase the boiling point of the liquid.
III. Decrease the melting point of the liquid.
IV. Decrease the boiling point of the liquid.
which of the statement above about the effect on increase in pressure in a liquid are correct?
A
I and II only
B
I and III only
C
II and III only
D
III and IV only
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Increase in pressure generally raises the boiling point but but lowers the melting point. II and III
Source: Myschool Past Questions Archive (Record #13930)
Physics
UTME / JAMB 2007
Current Electricity & Electric Circuits
Solution
I. Mass
II. Density
III. Temperature
IV. Nature of substance
which of the above affect diffusion?
A
I and II only
B
I,II and IV only
C
II, III and IV only
D
I, II, III and IV
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Diffusion rates of a substance generally depend on mass, density, and temperature. and nature of substances I II, III, and IV
Source: Myschool Past Questions Archive (Record #13931)