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Physics
UTME / JAMB 1981
Current Electricity & Electric Circuits
a balloon inflated with helium gas at ground level is released. As it rises through a constant temperature atmosphere.
A
its pressuren reduces but volume remains constant
B
te product of pressure and volume remains constant
C
both pressure and volume increases
D
its pressure remains constant but the volume decreases
E
both pressure and volume remains constant
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 #29022)
Physics
UTME / JAMB 1981
Calorimetry, Latent Heat & Change of State
Solution
Change of state is accompanied by change of?
A
temperature
B
volume
C
heat content
D
temperature and volume
E
volume and heat content
medium Difficulty
Verified Correct Answer: Option E
Physical Principles & Numerical Solution
Change of state (e.g., melting, boiling, freezing) occurs at constant temperature, but is always accompanied by: Change in volume (usually significant) and Change in heat content (latent heat absorbed or released)
Source: Myschool Past Questions Archive (Record #29023)
Physics
UTME / JAMB 1981
Waves, Sound & Vibrations
The quantity (timbre) of sound depends on
A
amplitude
B
frequency
C
harmonics
D
velocity
E
wavelength
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 #29024)
Physics
UTME / JAMB 1981
Atomic, Quantum, Nuclear Physics & Electronics
Solution
The mass of a proton is approximately equal to that of
A
an \(\alpha\)-particle
B
a \(\beta\)-particle
C
\(\gamma\)-ray
D
an electron
E
a neutron
medium Difficulty
Verified Correct Answer: Option E
Physical Principles & Numerical Solution
Protons and neutrons have approximately the same mass, about 1.67 \times 10\(^{-24}\) grams
Source: Myschool Past Questions Archive (Record #29025)
Physics
UTME / JAMB 1981
Lenses & Optical Instruments
Solution
An object placed on the principle axis of a convex lens of focal length 10m produces a real image of double magnification. The image distance from the lens is
A
30cm
B
25cm
C
20cm
D
15cm
E
10cm
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
\(\frac{1}{v}\) + \(\frac{1}{u}\) = \(\frac{1}{f}\)
\(\frac{1}{v}\) = +ve real image distance
where; U = +ve real object distance
f = real focus = 10
m = magnification
M = 2 = \(\frac{v}{u}\)
2u = V
\(\frac{1}{2u}\) + \(\frac{1}{u}\) = \(\frac{1}{10}\)
2u = 30
u = 15cm
v = 2u = 2 x 15
= 30cm
Source: Myschool Past Questions Archive (Record #29026)
Physics
UTME / JAMB 1981
Gas Laws & Heat Transfer
Solution
A liquid-in-glass thermometer should quickly register temperature changes. This is achieved by choosing a liquid that
A
is opaque
B
has high density
C
has regular expansion
D
has a high thermal conductivity
E
can wet glass
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
The liquid having a higher thermal conductivity means that the liquid allows heat to pass through itself quickly hence a shorter time to respond.
Source: Myschool Past Questions Archive (Record #29028)
Physics
UTME / JAMB 1981
Elasticity, Density, Pressure & Fluids
Solution
The extension in a spring when 5g wt was hung from it was 0.56cm. If Hooke's law is obeyed, What is the extension caused by a load of 20g wt?
A
1.12m
B
2.14cm
C
2.52cm
D
2.80cm
E
2.24cm
medium Difficulty
Verified Correct Answer: Option E
Physical Principles & Numerical Solution
Extension & Load
Extension = K constant
\(\frac{\text{load}}{0.56cm}\) = \(\frac{X}{20g}\)
X = 2.24cm
Source: Myschool Past Questions Archive (Record #29030)
Physics
UTME / JAMB 1981
Magnetism, Electromagnetism & AC Circuits
Which of the following is NOT directly associated with direct current (DC)?
A
A dry cell
B
a moving coil galvanometer
C
a transformer
D
a lead- acid accumulator
E
a commutator
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 #29032)
Physics
UTME / JAMB 1981
Magnetism, Electromagnetism & AC Circuits
Solution
A transformer has 300 turns of wire in the primary coil and 30 turns in the secondary coil.If the input voltage is 100 volts, the output voltage is
A
5 volts
B
10 volts
C
15 volts
D
20 volts
E
25 volts
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
for transformer,
Es = Ns, Es = e.m.f of secondary
Ep = Np, Ep = e.m.f of primary
NS = number of turns in secondary
Ns = number of turns in primary
\(\frac{30}{300}\) = \(\frac{x}{100}\)
300X = 3000X
= 10 volts
Source: Myschool Past Questions Archive (Record #29041)
Physics
UTME / JAMB 1981
Magnetism, Electromagnetism & AC Circuits
A closed coil of wire is placed near a magnet. The magnet lies along the axis of the coil. Under which of the following conditions would there be no current in the coil?
A
When the coil is moved toward the stationary magnet
B
When the coil is moved away from the stationary magnet
C
when the coil is held stationary but the magnet is moved towards the coil
D
when both the coil and the magnet are held stationary
E
when the coil is held stationary but the magnet is moved away from the cell
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 #29042)
Physics
UTME / JAMB 1981
Atomic, Quantum, Nuclear Physics & Electronics
Solution
If I is the current passing through a metallic resistor and H is the rate of Heat generated in the resistor at a constant temperature, then
A
H \(\alpha\) \(\frac{1}{I}\)
B
H \(\alpha\) \(\frac{1}{I^2}\)
C
H \(\alpha\) \(\sqrt1\)
D
H \(\alpha\) I2
E
none of the above
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
H \(\alpha\) I2RT
Source: Myschool Past Questions Archive (Record #29043)
Physics
UTME / JAMB 1981
Equilibrium of Forces, Moments & Flotation
Solution
A solid weighs 4.8g in air, 2.8g in water and 3.2g in kerosine. The ratio of density of the solid to that of the kerosine is
A
12
B
3
C
2
D
\(\frac{3}{2}\)
E
\(\frac{5}{4}\)
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Relative density of solid = \(\frac{\text{weight of solid}}{\text{weight of an equal volume of water}}\)
\(\frac{4.8}{4.8 -3.2}\) = \(\frac{4.8}{2}\) = 2.4
Ratio of density of liquid = \(\frac{\text{weight of liquid kerosine}}{\text{weight of an equal volume of water}}\)
= \(\frac{4.8 - 3.2}{4.8 - 2.8}\) = \(\frac{1.6}{2}\)
= 0.8
= \(\frac{\text{density of solid}}{\text{density of kerosine}}\)
= \(\frac{2.4}{0.8}\) = 3
Source: Myschool Past Questions Archive (Record #29044)
Physics
UTME / JAMB 1981
Lenses & Optical Instruments
Solution
in a light experiment with a convex lens a student plotted a graph as shown above of the reciprocal of object distance (1)/u against the reciprocal of image distance (1)/v . the focal length of the lens is given as
A
slope of line PQ
B
Reciprocal of either OP or OQ
C
Length OP or OQ
D
area under the graph E ratio OP/OQ
E
100Hz
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
The intercept on either of the axes of the graph of \(\frac{1}{u}\) against \(\frac{1}{v}\) gives the value of \(\frac{1}{f}\). Hence, the reciprocal of this intercecpt gives the value of the focal length.
Source: Official Exam / Past Question Archive
Physics
UTME / JAMB 1981
Newton's Laws, Momentum & Collisions
Diagram
Solution
A body of mass 6kg rests on an inclined plane. The normal reaction is R, and the limiting frictional force is F as shown in the image above. if F = 30N, and g = 10ms\(^{-2}\) then the angle of inclination \( \theta \) is
Attached Figure / Diagram
A
15\(^o\)
B
30\(^o\)
C
45\(^o\)
D
60\(^o\)
E
75\(^o\)
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Calculate the weight of the body: \(W = mg = 6 \, \text{kg} \times 10 \, \text{m/s}^2 = 60 \, \text{N}\)
The limiting frictional force balances the component of weight acting down the incline: \(F = W \sin \theta\)
Substituting the known values: \(30 = 60 \sin \theta\)
Solving for \( \sin \theta \): \(\sin \theta = \frac{30}{60} = \frac{1}{2}\)
The angle \( \theta \) corresponding to \( \sin \theta = \frac{1}{2} \) is: \(\theta = 30^\circ\)
The angle of inclination \( \theta \) is \(30^\circ\).
Source: Myschool Past Questions Archive (Record #41615)
Physics
UTME / JAMB 1981
Current Electricity & Electric Circuits
Diagram
Solution
The effect of closing the key K in the circuit shown above would be to
Attached Figure / Diagram
A
increase the current by 0.6A
B
reduce the current by 0.6A
C
increase the current by 0.4A
D
keep the current unchanged
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
When K is open, the total resistance
R = 8\(\Omega\) + 2\(\Omega\) = 10\(\Omega\)
I = \(\frac{V}{R}\) = \(\frac{6}{10}\)
= 0.6A
When K is closed, we have
\(\frac{1}{R}\) = \(\frac{1}{8}\) + \(\frac{1}{8}\)
⇒ \(\frac{1}{R}\) = \(\frac{1}{4}\)
⇒ R = 4\(\Omega\)
The total resistance R = 4\(\Omega\) + 2\(\Omega\)
= 6\(\Omega\)
I = \(\frac{6}{6}\)
= 1A
Hence, I = 1A - 0.6A = 0.4A increase
Source: Myschool Past Questions Archive (Record #41616)