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Physics
UTME / JAMB 1997
Equilibrium of Forces, Moments & Flotation
Solution
A cube of sides 0.1m hangs freely from a string. What is the upthrust on the cube when totally immersed in water? [density of water is 1000kgm-2, g = 10ms-2]
A
1000 N
B
700 N
C
110 N
D
10 N
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Volume of water displaced = volume of cube
therefore, 0.1 x 0.1 x 0.1 = 0.001m3
mass of H2O = 0.001 X 1000
= 1kg
upthrust = mg
= 1 x 10
=10N
Source: Myschool Past Questions Archive (Record #27688)
Physics
UTME / JAMB 1997
Current Electricity & Electric Circuits
A piece of wire gauze can be made to lie on water because
A
the wire guaze is less dense than water
B
the water molecules repels the wire guaze upwards
C
the water surface has the effect of an elastic thin skin
D
of the cohensive forces between the water and the wire guaze molecules
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option C.
Source: Myschool Past Questions Archive (Record #27689)
Physics
UTME / JAMB 1997
Current Electricity & Electric Circuits
Solution
A liquid of mass 1.0 x 103kg fills a rectangular tank of length 2.5m and width 2.0m. If the tank is 4m high, what is the pressure at the middle of the tank?[g = 10ms-2]
A
1.0 x 104Nm-2
B
2.0 x 103Nm-2
C
1.5 x 103Nm-2
D
1.0 x 103Nm-2
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Density of liquid = \(\frac{1 {\times} 10^3}{2.5 {\times} 2 {\times} 4}\)
= 50kgm3
pressure heg = 50 x 10 x \(\frac{4}{2}\)
= 1 x 103Nm-2
Source: Myschool Past Questions Archive (Record #27690)
Physics
UTME / JAMB 1997
Equilibrium of Forces, Moments & Flotation
Solution
An empty 60 litre petrol tank has a mass of 10kg. Its mass when full of fuel of relative density 0.72 is
A
7.2kg
B
33.2kg
C
43.2kg
D
53.2kg
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
R.d = \(\frac{\text {density of petrol}}{\text{density of water}}\)
0.72 = \(\frac{\text{density of petrol}}{1000}\)
Density of petrol =720kg\(m^3\)
mass of petrol = 720 x 60 x \(10^{-3}\)
=43.2kg
The total mass of the tank and fuel = 10 + 43.2kg = 53.2kg.
Source: Myschool Past Questions Archive (Record #27691)
Physics
UTME / JAMB 1997
Current Electricity & Electric Circuits
Solution
The length of mercury thread when it is at 0^\circC, 100^\circC and at an unknown temperature \(\theta\) is 25mm, 225mm and 175mm respectively. The value of \(\theta\) is
A
85.0oC
B
80.0oC
C
75.0oC
D
70.0oC
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
\(\frac{175 - 25}{225 - 25} = \frac{x - 0}{100 - 0}\)
\(\frac{150}{200} = \frac{x}{100}\)
\(x = \frac{150 \times 100}{200}\)
= 75^\circC
Source: Myschool Past Questions Archive (Record #27692)
Physics
UTME / JAMB 1997
Calorimetry, Latent Heat & Change of State
Equal masses of copper and rubber are raised to the same temperature. After sometimes, the copper was observed to be at a lower temperature because
A
the specific heat capacity of copper is lower than that of rubber
B
copper expands more than rubber
C
the specific heat capacity of rubber is lower than that of copper
D
rubber expands more than copper
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 #27693)
Physics
UTME / JAMB 1997
Current Electricity & Electric Circuits
Solution
Before starting a journey, the tyre pressure of a car was 3 x 105Nm-2 at 27oC. At the end of the journey, the pressure rose to 4 x 105Nm-2. Calculate the temperature of the tyre after the journey, assuming the volume is constant
A
400oC
B
300oC
C
273oC
D
127oC
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
\(\frac{P_1}{T_1}\) = \(\frac{ P_2}{T_2}\)
\(\frac{3 \times\ 10^6}{27 + 273}\) = \(\frac{4 \times\ 10^6}{0 + 273}\)
\(\theta\) = 127oC
Source: Myschool Past Questions Archive (Record #27694)
Physics
UTME / JAMB 1997
Calorimetry, Latent Heat & Change of State
Solution
A heating coil rated at 100W is used to boil off 0.5kg of boiling water. The time taken to boil off the water is [specific latent heat of vaporization of water = 2.3 x 106Jkg-1]
A
1.15 x 109 s
B
1.15 x 107 s
C
1.15 x 105 s
D
1.15 x 104 s
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Heat energy = Elect. energy
0.5 x 2.3 x 106 = 100t
t = 1.15 x 104s
Source: Myschool Past Questions Archive (Record #27696)
Physics
UTME / JAMB 1997
Current Electricity & Electric Circuits
Solution
A mass of a liquid at 30oC is mixed with a mass of the same liquid at 70oC and the temperature of the mixture is 45oC. Find the ratio of the mass of the cold liquid to the mass of the other liquid.
A
3 : 5
B
5 : 3
C
3 : 7
D
7 : 3
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Heat lost = heat gained
mH x c x (70 - 45) = mc x c x (45 - 30)
\(\frac{m_c}{m_H}\) = \(\frac{5}{3}\)
Source: Myschool Past Questions Archive (Record #27697)
Physics
UTME / JAMB 1997
Work, Energy, Power & Simple Machines
What happens when a gas expands at constant temperature?
A
its pressure decreases
B
the total momentum of its molecules remains constant
C
its pressure decreases and the total momentum of its moleculees remains constant
D
its pressure decreses and the total kinetic energy of its molecule decreases
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 #27698)
Physics
UTME / JAMB 1997
Current Electricity & Electric Circuits
Solution
Under constant tension and constant mass per unit length, the note produced by a plucked string is 500Hz when the length of the string is 0.90m. At what length is the frequency 150Hz?
A
3m
B
4m
C
5m
D
6m
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
F = \(\frac{1}{2L}\)\(\sqrt\frac{T}{m}\)
F1L1 = F2L2
500 x 0.9 = 150 x L2
therefore, L2 = 3m
Source: Myschool Past Questions Archive (Record #27700)
Physics
UTME / JAMB 1997
Waves, Sound & Vibrations
Solution
The colours seen in the thin films of oil on the road and in soap bubbles are due to
A
reflection
B
interference
C
diffraction
D
polarization
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
A simple form of interference pattern is obtained if two plane waves of the same frequency intersect at an angle. Interference is essentially an energy redistribution process.
Source: Myschool Past Questions Archive (Record #27703)
Physics
UTME / JAMB 1997
Waves, Sound & Vibrations
Solution
If the load at the end of a sonometer wire is immersed in a bucket of water, the original fundamental frequency of the wire could be restored by
A
decrease the length of the wire
B
increasing the length of the wire
C
increasing the mass per unit length of the wire
D
changing the temperature of the wire
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
F = \(\frac{1}{2L}\)\(\sqrt{\frac{T}{\mu}}\)
The original fundamental frequency of the wire could be restored by decreasing the length of the wire since frequency is inversely proportional to length.
Source: Myschool Past Questions Archive (Record #27705)
Physics
UTME / JAMB 1997
Reflection, Refraction & Dispersion of Light
A boy on looking into a mirror observed that his face appeared to have grown bigger. The boy must have been looking at a
A
convex mirror with his face at the focus
B
concave mirror with his face between the focus and the mirror
C
concave mirror with his face at the focus
D
convex mirror with his face between the focus and the mirror
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 #27707)
Physics
UTME / JAMB 1997
Current Electricity & Electric Circuits
Solution
Light of velocity 3 x 108ms-1 is incident on a material of reflective of index n. If the velocity of light is reduced to 2.4 x 108ms-1 in the material, what is n?
A
2.33
B
2.25
C
1.33
D
1.25
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
n = \(\frac{3 \times\ 10^8}{2.4 \times\ 10^8}\)
n = 1.25
Source: Myschool Past Questions Archive (Record #27710)