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Physics
UTME / JAMB 1982
Waves, Sound & Vibrations
Solution
The echo of a sounder from the bottom of an ocean is heard 2.5 seconds later. If the speed of sound in water is 1,400ms-1, the depth of the ocean is
A
1,750m
B
3,500m
C
1,400m
D
2,800m
E
2,100m
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
To find the depth of the ocean using the time it takes for the echo to return, we can use the formula:
\(\text{Distance} = \text{Speed} \times \text{Time}\)
The time given (2.5 seconds) is the total time for the sound to travel to the ocean floor and back up to the surface. Therefore, the time for the sound to reach the bottom is half of the total time:
\(\text{Time to reach the bottom} = \frac{2.5 \, \text{s}}{2} = 1.25 \, \text{s}\)
Using the speed of sound in water, which is \(1,400 \, \text{m/s}\), we can calculate the depth \(d\):
\(d = \text{Speed} \times \text{Time to reach the bottom}\)
Substituting the values:
\(d = 1,400 \, \text{m/s} \times 1.25 \, \text{s}\)
\(d = 1,400 \times 1.25 = 1,750 \, \text{m}\)
The depth of the ocean is:\(\boxed{1,750 \, \text{m}}\)
Source: Myschool Past Questions Archive (Record #28894)
English Language
UTME / JAMB 1982
Lexis, Structure & Register (Cloze & Vocabulary)
Timber can be made into
A
columbite
B
plywood sheets
C
hides
D
leather
E
concrete floors
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 #15412)
Physics
UTME / JAMB 1982
Current Electricity & Electric Circuits
Which of the following statements is NOT true? Thermostats are used to control the temperature of
A
pressure cookers
B
laundry irons
C
hot water storage tanks
D
aquaria for tropical fish
E
heated apartments
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 #28905)
Physics
UTME / JAMB 1982
Current Electricity & Electric Circuits
250g of lead at 170oC is dropped into 100g of water at 0oC. If the final temperature is 12oC, the specific heat of lead is (specific heat of water is 4,200J/kgoC)
A
39.5J/kgoC
B
50.4J/kgoC
C
127.6J/kgoC
D
154.6J/kgoC
E
173.4J/kgoC
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 #28909)
Physics
UTME / JAMB 1982
Current Electricity & Electric Circuits
An object 15cm high is 30cm from pin-hole camera. If the height of the image formed at the back of the camera is 10cm, the image distance is
A
20cm
B
45cm
C
54cm
D
63cm
E
70cm
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 #28910)
Physics
UTME / JAMB 1982
Waves, Sound & Vibrations
The combination of sound waves with different frequencies is known as
A
interference
B
diffraction
C
superposition
D
forced vibration
E
resonance
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 #28912)
Physics
UTME / JAMB 1982
Equilibrium of Forces, Moments & Flotation
Why does a piece of cork float on water?
A
there is no upthrust on it when completely immersed in water
B
the upthrust on it when completely immersed in water is greater than its weight in air
C
the upthrust on it when completely immersed in water is less than its weight in air
D
its specific gravity is greater than that of water
E
its specific gravity is the same as that of water
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 #28915)
Physics
UTME / JAMB 1982
Current Electricity & Electric Circuits
Solution
An electric iron is rated at 1000watts, 250v. The corresponding maximum resistance and accompanying current is
A
62.5A, 4.0\(\Omega\)
B
16.0A, 62.5\(\Omega\)
C
62.5A, 16.0\(\Omega\)
D
4.0A, 62.5\(\Omega\)
E
4.0A, 250\(\Omega\)
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
R = \(\frac{V^2}{R}\) = IV ; R = \(\frac{V^2}{P}\) and I = \(\frac{P}{V}\)
R = \(\frac{(250)^2}{100}\) and I = R = \(\frac{1000}{250}\)
R = 62.5\(\Omega\) and I = 4A
Source: Myschool Past Questions Archive (Record #28896)
Physics
UTME / JAMB 1982
Circular Motion, Gravitation & Simple Harmonic Motion
The force responsible for holding the moon in its orbit around the earth against the gravitational pull of the earth is
A
centrifugal
B
rotational
C
reaction
D
centripetal
E
tractional
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 #28897)
Physics
UTME / JAMB 1982
Current Electricity & Electric Circuits
Solution
A mango fruit drops from a branch 10m above the ground, just before hitting the ground its velocity is (g = 10ms-2)
A
10√2ms-1
B
10ms-1
C
100ms-1
D
5√2ms-1
E
200ms-1
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Using, V2 = U2 + 2gs
V2 = 02 + (2 x 10 x 10)
V = 10√2ms-1
Source: Myschool Past Questions Archive (Record #28899)
Physics
UTME / JAMB 1982
Work, Energy, Power & Simple Machines
Which of the following machines does NOT apply the lever principle?
A
claw hammer
B
wheel barrow
C
single moving pulley
D
sugartongs
E
nutcrackers
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 #28901)
Physics
UTME / JAMB 1982
Equilibrium of Forces, Moments & Flotation
Solution
The accurate measurement of the relative density of substances in powder or granular form can be done using a beam balance and a
A
pipette
B
burette
C
measuring cylinder
D
density bottle
E
eureka can
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Density Bottle (Pycnometer): This is a specialized laboratory flask designed to have a very precise volume. It is the standard tool for accurately determining the relative density of liquids and fine solids like powders or granules
Source: Myschool Past Questions Archive (Record #28902)
Physics
UTME / JAMB 1982
Atomic, Quantum, Nuclear Physics & Electronics
Solution
A rod of length 10cm is heated through 100oC and its final length is 10.26cm. What is the co-efficient of linear expansion of the rod?
A
0.026 per degree centigrade
B
0.00026 per degree centigrade
C
0.26 per degree centigrade
D
1.0026 per degree centigrade
E
0.0026 per degree centigrade
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
\(\alpha\) = \(\frac{L_2 - L_1}{L_1 \times \theta}\)
= \(\frac{10 - 26 - 10}{10 \times 100}\)
= 2.6 x 10-4oC
Source: Myschool Past Questions Archive (Record #28922)
Physics
UTME / JAMB 1982
Reflection, Refraction & Dispersion of Light
Solution
If the refractive index of a medium is \(\sqrt{2}\), what is the critical angle?
A
45o
B
50o12'
C
56o25'
D
75o
E
90o
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
sin C = \(\frac{1}{n}\) ; sin C = \(\frac{1}{\sqrt2}\)
C = sin-1\(\frac{1}{\sqrt2}\)
= 45o
Source: Myschool Past Questions Archive (Record #28923)
Physics
UTME / JAMB 1982
Current Electricity & Electric Circuits
Solution
In copper plating, a current of 0.5A is allowed for cathode area of 100cm2. If this current is maintained constant for 100 minutes, the thickness of the copper deposited will be approximately (the electrochemical equivalent of copper = 0.0003g/oC, density of copper = 10^4g/cm3 )
A
10-2mm
B
10-3mm
C
10-4mm
D
10-5mm
E
10-6mm
medium Difficulty
Verified Correct Answer: Option E
Physical Principles & Numerical Solution
m = Itz
density = \(\frac{\text{mass}}{\text{area x thickness}}\)
Density = \(\frac{Itz}{A \times h}\)
\(10^4 = \frac{0.5 \times 100 \times 60 \times 0.0003}{100 \times h}\)
h = 9 x 10-7cm = 9 x 10-6mm
Source: Myschool Past Questions Archive (Record #28924)