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Physics
UTME / JAMB 1997
Current Electricity & Electric Circuits
Diagram
Solution
For what value of \(\theta\) are the forces in the diagram above in equilibrium
Attached Figure / Diagram
A
\( 15^{\circ} \)
B
\( 30^{\circ} \)
C
\( 45^{\circ} \)
D
\( 60^{\circ} \)
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
So the diagram in the question is compressed to the one above.
From the diagram: Cos\(\theta\) = \(\frac{6}{12}\) = \(\frac{1}{2}\)
\(\theta\) = Cos\(^{-1}\)(0.5) = 60º
Source: Myschool Past Questions Archive (Record #41733)
Physics
UTME / JAMB 1997
Newton's Laws, Momentum & Collisions
Diagram
Solution
The fig above shows a block of mass m sliding down a rough inclined plane QP at angle \( \theta \) . The forces acting on the block along QP are
Attached Figure / Diagram
A
mg sinθ and the normal reaction
B
mg sinθ and the force of friction
C
mg sinθ and the normal reaction
D
mg cosθ and the normal reaction
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
The weight mg acts vertically downward.
Along the incline (parallel to QP):
The component of weight down the plane: mg sin\theta
Since the plane is rough and the block is sliding down, kinetic friction acts up the plane, opposing the motion.
The normal reaction (N) acts perpendicular to the plane (not along QP).
So, forces along QP (parallel to the incline) are:
1. mg sin\theta (down the plane)
2. Force of friction (up the plane)
Source: Myschool Past Questions Archive (Record #41734)
Physics
UTME / JAMB 1997
Current Electricity & Electric Circuits
Diagram
Solution
A uniform light beam XZ is Hinged at X and kept in equilibrium by the forces T and F as shown in the diagram above. if XO = 20cm and OY = 30cm, express T in terms of F
Attached Figure / Diagram
A
T =2√3/3
B
T= 2F
C
T = 5V3F/3
D
T = 5F
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Resolve T vertically and take a moment about x
T sin30º x 20 = 50 x F
T x 0.5 x 20 = 50F
T x 10 = 50F
T = \(\frac{50F}{10}\) = 5F
Source: Myschool Past Questions Archive (Record #41736)
Physics
UTME / JAMB 1997
Newton's Laws, Momentum & Collisions
Diagram
For a rough inclined plane on which lies a body of weight W, the angle θ in the diagram above becomes the angle of friction if
Attached Figure / Diagram
A
tan θ = coefficient of static friction
B
cos θ = coefficient of dynamic friction
C
sin θ = coefficient of sliding friction
D
sec θ = limiting frictional force
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 #41737)
Physics
UTME / JAMB 1997
Waves, Sound & Vibrations
Diagram
Solution
The diagram above shows two wave forms P and Q at a particular instant in time. the two waves will interface
Attached Figure / Diagram
A
destructively to produce a wave of larger amplitude
B
destructively to produce a wave of smaller amplitude
C
constructively to produce a wave of larger amplitude
D
constructively to produce a wave of smaller amplitude
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
In this case, since both waves P and Q are at positive displacements, they will interfere constructively.
Answer: C. constructively to produce a wave of larger amplitude.
Source: Myschool Past Questions Archive (Record #41738)
Physics
UTME / JAMB 1997
Current Electricity & Electric Circuits
Diagram
Solution
When the sun, moon and the earth are as shown in the diagram above an observer standing in X is in
Attached Figure / Diagram
A
Penumbra and sees a partial eclipse
B
Penumbra and sees a total eclipse
C
umbra and sees a partial eclipse
D
umbra and sees a total eclipse
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
An observer in the penumbra experiences a partial eclipse. The penumbra is the region in which only a portion of the light source is obscured by the occluding body. therefore, the observer at point X in the diagram is in penumbra and will experience a partial eclipse.
Source: Myschool Past Questions Archive (Record #41740)
Chemistry
UTME / JAMB 1997
Stoichiometry, Mole Concept & Volumetric Analysis
Solution
35 cm3 of hydrogen was sparked with 12 cm3 of oxygen at 110^\circC and 760mm Hg to produce steam. What percentage of the total volume of gas left after the reaction is hydrogen?
A
11%
B
31%
C
35%
D
69%
medium Difficulty
Verified Correct Answer: Option B
Chemical Principles & Mechanism
Reaction for the equation:
\(2H_{2} + O_{2} \to 2H_{2} O\)
\(2 vol : 1 vol : 2 vol\)
Hence, 2 volumes of Hydrogen is needed for the reaction with Oxygen to produce steam (water).
\(\therefore 12cm^{3} O_{2} \to 2 \times 12cm^{3} = 24cm^{3} H_{2}\)
\(\text{Excess of Hydrogen} : 35 cm^{3} - 24 cm^{3} = 11 cm^{3}\)
\(\text{% Hydrogen left after the reaction} = \frac{11}{35} \times 100% = \frac{220}{7} = 31.48% \)
\(\approxeq 31% \)
Source: Myschool Past Questions Archive (Record #13720)
Chemistry
UTME / JAMB 1997
Particulate Nature of Matter, Laws & Formulae
2.85g of an oxide of copper gave 2.52g of copper on reduction and 1.90g of another oxide gave 1.52g of copper on reduction. The data above illustrates the law of?
A
constant composition
B
conservation of mass
C
reciprocal proportions
D
multiple proportions
medium Difficulty
Verified Correct Answer: Option D
Chemical Principles & Mechanism
No expanded working has been attached for this question yet. The verified answer is Option D.
Source: Myschool Past Questions Archive (Record #13723)
Chemistry
UTME / JAMB 1997
Particulate Nature of Matter, Laws & Formulae
Solution
An element, X, forms a volatile hydride XH3 with a vapour density of 17.0. The relative atomic mass of X is?
(H = 1)
A
34.0
B
31.0
C
20.0
D
14.0
medium Difficulty
Verified Correct Answer: Option B
Chemical Principles & Mechanism
Molecular Mass = Vapour density x 2 = 17.0 x 2 = 34.0
∴ Relative Atomic Mass of X in XH3 = 34 - 3
= 31.0 ∴ x = 31.0
Source: Myschool Past Questions Archive (Record #13730)
Chemistry
UTME / JAMB 1997
Kinetic Theory of Matter & Gas Laws
Solution
A mixture of 0.20 mole of Ar, 0.20 mole of N2 and 0.30 mole of He exerts a total pressure of 2.1 atm. The partial pressure of He in the mixture is?
A
0.90 atm
B
0.80 atm
C
0.70 atm
D
0.60 atm
medium Difficulty
Verified Correct Answer: Option A
Chemical Principles & Mechanism
Total no mole = 0.2 + 0.2 + 0.3 = 0.7
Partial pressure of He = (0.3)/(0.7) x 2.1 =0.90
Source: Myschool Past Questions Archive (Record #13734)
Chemistry
UTME / JAMB 1997
Stoichiometry, Mole Concept & Volumetric Analysis
The temperature of a body decreases when drops of liquid placed on it evaporate because?
A
the atmospheric vapour pressure has a cooling effect on the body
B
a temperature gradient exists between the drops of liquid and the body causing the latter to vaporate
C
the heat of vapourization is drawn from the body causing it to cool
D
the random motion of the liquid molecules causes a cooling effect on the body
medium Difficulty
Verified Correct Answer: Option C
Chemical Principles & Mechanism
No expanded working has been attached for this question yet. The verified answer is Option C.
Source: Myschool Past Questions Archive (Record #13735)
Chemistry
UTME / JAMB 1997
Atomic Structure, Orbitals & Nuclear Chemistry
The electron configuration of two elements with similar chemical properties are represented by?
A
1s22s22p5 and 1s22s22p4
B
1s22s22p4 and 1s22s22p63s1
C
1s22s22p63s1 and 1s22s1
D
1s22s22p4 and 1s22s1
medium Difficulty
Verified Correct Answer: Option C
Chemical Principles & Mechanism
No expanded working has been attached for this question yet. The verified answer is Option C.
Source: Myschool Past Questions Archive (Record #13742)
Chemistry
UTME / JAMB 1997
Periodic Table & Periodicity
In the periodic table, what is the property that decreases along the periodic and increases down the group?
A
Atomic number
B
Electron affinity
C
Ionization potential
D
Atomic radius
medium Difficulty
Verified Correct Answer: Option D
Chemical Principles & Mechanism
No expanded working has been attached for this question yet. The verified answer is Option D.
Source: Myschool Past Questions Archive (Record #13743)
Chemistry
UTME / JAMB 1997
Stoichiometry, Mole Concept & Volumetric Analysis
Two elements, P and Q with atomic numbers 11 and 8 respectively , combine chemically to form the compound PxQY. The respective values of x and y are?
A
1 and 1
B
1 and 2
C
2 and 1
D
3 and 1
medium Difficulty
Verified Correct Answer: Option C
Chemical Principles & Mechanism
No expanded working has been attached for this question yet. The verified answer is Option C.
Source: Myschool Past Questions Archive (Record #13745)
Chemistry
UTME / JAMB 1997
Atomic Structure, Orbitals & Nuclear Chemistry
Solution
Oxygen is a mixture of two isotopes 16-O and 18-O with relative abundances of 90% and 10% respectively. The relative atomic mass of oxygen is?
A
16.0
B
16.2
C
17.0
D
18.0
medium Difficulty
Verified Correct Answer: Option B
Chemical Principles & Mechanism
816O, 818O
90% 10%
R.A.M = (90)/(100) x 16 + (10)/(100) x 18 = 14.4 + 1.8 = 16.2
Source: Myschool Past Questions Archive (Record #13754)