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Physics
UTME / JAMB 1983
Elasticity, Density, Pressure & Fluids
Solution
The total length of a spring when a mass of 20g is hung from its end is 14cm, while its total length is 16cm when a mass of 30g is hung from the same end. Calculate the unstretched length of the spring assuming Hooke's law is obeyed.
A
9.33cm
B
10.00cm
C
10.66cm
D
12.00cm
E
15.00cm
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Let unstretched length = L
e1 = 14 - L and e2 = 16 - L
Using, \(\frac{m_1}{e_1}\) = \(\frac{m_2}{e_2}\)
\(\frac{20}{14 - L}\) = \(\frac{30}{16 - L}\)
L = 10cm
Source: Myschool Past Questions Archive (Record #28864)
Physics
UTME / JAMB 1983
Current Electricity & Electric Circuits
Which of the following statements is CORRECT? i. the mass number is equal to the total number of protons and electrons in an atom. ii. the atomic number is equal to the number of protons in an atom. iii. the number of electrons in an atom is equal to the total number of protons and neutrons in the nucleus.
A
i only
B
ii only
C
iii only
D
i and ii only
E
ii and iii only
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 #28865)
Physics
UTME / JAMB 1983
Temperature, Thermometry & Thermal Expansion
A short response to time is obtained in liquid-in-glass thermometer when the
A
bulb is large and thick-walled
B
stem is long and thin
C
bulb is small and thicked-walled
D
liquid is of high density and the bore is large
E
bulb is thin-walled and the liquid is a good conductor of heat
medium Difficulty
Verified Correct Answer: Option E
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option E.
Source: Myschool Past Questions Archive (Record #28866)
Physics
UTME / JAMB 1983
Work, Energy, Power & Simple Machines
Solution
A machine has a velocity ratio of 5. It requires a 50kg weight to overcome a 200kg weight. The efficiency is
A
4%
B
5%
C
40%
D
50%
E
80%
medium Difficulty
Verified Correct Answer: Option E
Physical Principles & Numerical Solution
Efficiency = M.A x 100%
= \(\frac{200}{50}\) x \(\frac{1}{5}\) x 100
= 80%
Source: Myschool Past Questions Archive (Record #28868)
Physics
UTME / JAMB 1983
Elasticity, Density, Pressure & Fluids
Solution
If the normal atmospheric pressure in a laboratory supports a column of mercury 0.76m high and the relative density of mercury is 13.8, then the height of water column which atmospheric pressure will support in the same laboratory at the same time is
A
0m
B
10m
C
13m
D
14m
E
18m
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Density of H2O = 1gcm3
Density x pressure = constant
D1 x P1 = D2 x P2
13.6 x 0.76 = 1 x P2
P2 = 10m
Source: Myschool Past Questions Archive (Record #28872)
Physics
UTME / JAMB 1983
Calorimetry, Latent Heat & Change of State
Solution
An electric current of 3Aflowing through an electric heating elements of resistance 20 embedded in 1,000g of an oil raises the temperature of the oil by 10oC in 10 seconds then the specific heat capacity of the oil is
A
1.8Jg-1oC
B
0.6Jg-1oC
C
0.18Jg-1oC
D
18Jg-1oC
E
0.06Jg-1oC
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Heat energy = Electrical energy
mc\(\Delta\)\(\theta\) = I\(^2\)Rt
1000 x c x 10 = 3 x 3 x 20 x 10
0.18Jg\(^{-1}\)ºC
Source: Myschool Past Questions Archive (Record #28874)
Physics
UTME / JAMB 1983
Current Electricity & Electric Circuits
Solution
The difference of potential between the terminals of cells is 2.2 volts. When a 4ohm resistor is connected across the terminals of this cells, the potential difference is 2 volts. What is the internal resistance of the cell?
A
0.10 ohms
B
0.25ohms
C
0.40ohms
D
2.50ohms
E
4.00ohms
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
To find the internal resistance of the cell, we can use the formula:
\(V = E - I r\)
Where:
- \( V \) = terminal voltage (2 V)
- \( E \) = electromotive force (emf) of the cell (2.2 V)
- \( I \) = current through the circuit
- \( r \) = internal resistance of the cell
{Step 1: Calculate the Current}
Using Ohm's law, the current (\( I \)) flowing through the resistor is given by:
\(I = \frac{V}{R}\)
Where:
- \( V = 2 \, \text{V} \) (terminal voltage)
- \( R = 4 \, \Omega \)
Thus,
\(I = \frac{2 \, \text{V}}{4 \, \Omega} = 0.5 \, \text{A}\)
{Step 2: Substitute Values into the Formula}
Now substituting \( I \), \( V \), and \( E \) into the formula:
\(2 = 2.2 - 0.5 r\)
{Step 3: Solve for Internal Resistance \( r \)}
Rearranging the equation gives:
\(0.5 r = 2.2 - 2\)
\(0.5 r = 0.2\)
\(r = \frac{0.2}{0.5} = 0.4 \, \Omega\)
Thus, the internal resistance of the cell is:
\(\boxed{0.4 \, \Omega}\)
Source: Myschool Past Questions Archive (Record #28879)
Physics
UTME / JAMB 1983
Temperature, Thermometry & Thermal Expansion
Which of the following best describes the energy changes which take place when a steam engine drives a generator which lights a lamp?
A
heat \( \to \) light \( \to \) sound \( \to \) kinetic
B
kinetic \( \to \) light \( \to \) heat \( \to \) electricity
C
heat \( \to \) kinetic\( \to \) electricity \( \to \) heat \( \to \) light
D
electricity \( \to \) kinetic \( \to \) heat v light
E
heat \(\ to \) sound \( \to \) kninetic v electricity
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 #28880)
Physics
UTME / JAMB 1983
Reflection, Refraction & Dispersion of Light
Solution
the speed of light in vacuum is 3.0 x 108ms-1. If the refractive index of a transparent liquid is \(\frac{4}{3}\), then the speed of light in the liquid is
A
0.44 x 10 8ms-1
B
2.25 x 10 8ms-1
C
3.0 x 10 8ms-1
D
4.0 x 10 8ms-1
E
4.33 x 10 8ms-1
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
n = \(\frac{\text{speed in air }}{\text{speed in water }}\)
\(\frac{4}{3}\) = \(\frac{3 \times 10^8}{v}\)
v = 2.25 x 10 8ms-1
Source: Myschool Past Questions Archive (Record #28881)
Physics
UTME / JAMB 1983
Electrostatics & Capacitors
Solution
If the force of a charge of 0.2 coulomb in an electric field is 4N, then the electric field intensity of the field is
A
0.8
B
0.8N/C
C
20.0N/C
D
4.2N/C
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Field intensity = \(\frac{force}{charge}\)
\(\frac{4}{0.2}\) = 20N/C
Source: Myschool Past Questions Archive (Record #28883)
Physics
UTME / JAMB 1983
Waves, Sound & Vibrations
Longitudinal waves do not exhibit
A
Refraction
B
Reflection
C
Diffraction
D
Polarization
E
Rarefaction
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 #28885)
English Language
UTME / JAMB 1983
Question Tags, Modals & Pronouns
from he passage we can gather that
A
there is not much considerations for the health of the inhabitants
B
there is deliberate effort to incovenience the people
C
buildings are put up anyhow
D
projects are carried out without approval
E
the incoveniences suffered by the inhabitants will be for a while
medium Difficulty
Verified Correct Answer: Option E
Grammar & Contextual Explanation
No expanded working has been attached for this question yet. The verified answer is Option E.
Source: Myschool Past Questions Archive (Record #15447)
English Language
UTME / JAMB 1983
Lexis, Structure & Register (Cloze & Vocabulary)
unless it can be shown that the money voted for projects can be spent on them in good time
A
the development activity will not be intense
B
it will not be easy to convince the Government of our executive ability
C
it will not be difficult to ask Government for funds
D
our final results will be unreliable
E
the road diversions and other incoveniences will continue
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 #15448)
English Language
UTME / JAMB 1983
Reading Comprehension, Summary & Composition
Solution
An eye to aesthetics in this passage means
A
regard for space
B
beneficial psychological effects
C
regard for health
D
consideration for beauty
E
a cluster of building
medium Difficulty
Verified Correct Answer: Option D
Grammar & Contextual Explanation
Aesthetics refers to the principles of beauty, especially in art and design. It involves an appreciation for and consideration of beauty in the visual or artistic aspects of something. An eye to aestheticsindicates a deliberate consideration or attention to the visual appeal and beauty of the projects mentioned in the passage. The author is emphasizing that the development projects are not only focused on functionality but also on creating a visually pleasing and aesthetically attractive environment. The option "consideration for beauty" accurately captures the essence of "an eye to aesthetics." It signifies a deliberate effort to make the projects visually appealing and aesthetically pleasing.
Source: Myschool Past Questions Archive (Record #15449)
English Language
UTME / JAMB 1983
Reading Comprehension, Summary & Composition
In the passage the author tries to explain why
A
it is necessary to establish the Works and Services Complex in the University
B
beauty should not be taken into consideration when building on such a small space as we have
C
the gateway to the University is being rebuilt
D
a major part of the project should be completed in the next few weeks
E
visitors should be debarred from using the gates in the meantime
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 #15450)