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Physics
UTME / JAMB 1988
Current Electricity & Electric Circuits
Solution
A 20-toothed gear wheel drives a 60-toothed one. If the angular speed of the smaller wheel is 120 rev s-1, the angular speed of the larger wheel is
A
3 rev s-1
B
40 rev s-1
C
360 rev s-1
D
2400 rev s-1
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
\(\frac{\text {speed of driver}}{\text {speeder driven}}\) = \(\frac{\text {no. of teeth of driver}}{\text {no. of teeth of driven}}\)
\(\frac{120}{V}\) = \(\frac{20}{60}\)
v = 360 rev s-1
Source: Myschool Past Questions Archive (Record #28370)
Physics
UTME / JAMB 1988
Current Electricity & Electric Circuits
Solution
How long will it take a 60kg man to climb a height of 22m if he expended energy at a rate of 0.25kW. [g = ms-2]
A
5.3s
B
34.5s
C
41.6s
D
52.8s
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
power = mgh
0.25 x 103 = \(\frac {60 \times 10 \times 22}{t}\)
t = 52.8 sec
Source: Myschool Past Questions Archive (Record #28371)
Physics
UTME / JAMB 1988
Newton's Laws, Momentum & Collisions
Solution
A force, 10N, drags a mass 10kg on a horizontal table with an acceleration of 0.2ms. If the acceleration due to gravity is 10ms-1, the coefficient of friction between the moving mass and the table is
A
0.02
B
0.08
C
0.20
D
0.80
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
\(\mu\)mg = ma
\(\mu\)mg = F - ma
\(\mu\) x 10 x 10 = 10 - (10 x 0.2)
100 \(\mu\) =10 - 2
dividing both sides by 100
\(\mu\) = 8 / 100
\(\mu\) = 0.08
Source: Myschool Past Questions Archive (Record #28372)
Physics
UTME / JAMB 1988
Current Electricity & Electric Circuits
Solution
A body whose mass is 2kg and has a volume of 500cm3 just floats when completely immersed in a liquid. Calculate the density of the liquid
A
4.0 x 102kgm-3
B
4.0 x 103kgm-3
C
1.0 x 103kgm-3
D
1.0 x 106kgm-3
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
since the object floats, density of liquid = density of object
converting 500cm3 to m3,
\(\frac{500}{10^{6}} = 5 \times 10^{-4}m^{3}\)
D = \(\frac{m}{v}\)
= \(\frac{2}{5 \times 10^{-4}}\)
=\(4.0 \times 10^{3}kgm^{-3}\)
Source: Myschool Past Questions Archive (Record #28373)
Physics
UTME / JAMB 1988
Work, Energy, Power & Simple Machines
Solution
The product PV where P is pressure and V is volume has the same unit as
A
force
B
power
C
energy
D
accelaration
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
PV = \(\frac{N}{m^2}\) x \(\frac{m^3}{1}\)
= Nm
= Force x distance = work done = energy
Source: Myschool Past Questions Archive (Record #28374)
Physics
UTME / JAMB 1988
Calorimetry, Latent Heat & Change of State
Solution
The amount of heat needed to raise the temperature of 10kg of copper by 1k is its
A
specific heat capacity
B
heat capacity
C
latent heat
D
internal energy
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Heat capacity is the total amount of heat required to change the temperature of an entire object by 1 K (or 1 ^\circC). It depends on both the material and the mass of the object.
Source: Myschool Past Questions Archive (Record #28375)
Physics
UTME / JAMB 1988
Current Electricity & Electric Circuits
Solution
A tap supplies water at 25oC while another supplies water at 75oC. If a man wishes to bathe with water at 40oC, the ratio of the mass of cold water to the mass of hot water required is
A
1 : 3
B
15 : 8
C
7 : 3
D
3 : 1
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Heat lost = heat gained
mh x c x (75 - 40) = mc x c x (40 - 25)
\(\frac{m_h}{m_c}\) = \(\frac{35}{15}\)
= \(\frac{7}{3}\)
Source: Myschool Past Questions Archive (Record #28376)
Physics
UTME / JAMB 1988
Gas Laws & Heat Transfer
When heat is applied to one end of a metal rod, the molecules at the other end soon begin to vibrate with greater amplitude than before because heat has been transferred by
A
radiation
B
convection
C
conduction
D
evaporation
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 #28377)
Physics
UTME / JAMB 1988
Current Electricity & Electric Circuits
Which of the following media allow the transmission of sound wave through them i. Air. ii. Liquids. iii. Solids.
A
i and ii only
B
i and iii only
C
ii and iii only
D
i,ii and iii
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 #28378)
Physics
UTME / JAMB 1988
Waves, Sound & Vibrations
Which of the following properties is/are common to all waves? i. Diffraction ii. Refraction iii. Interference
A
i only
B
ii only
C
ii and iii
D
i, ii, and iii
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 #28379)
Physics
UTME / JAMB 1988
Current Electricity & Electric Circuits
Solution
A piano wire 0.5m long has a total mass of 0.01kg and is stretched with a tension of 800N. Calculate the frequency of the wire when it sounds its fundamental note
A
200Hz
B
100Hz
C
4Hz
D
2Hz
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
F = \(\frac{1}{2L}\)\(\sqrt\frac {T}{m}\)
N:B m is mass per length
= \(\frac {0.01}{0.5}\)
= 0.02kgm-1
F = \(\frac{1}{2\times 0.5}\)\(\sqrt\frac {800}{0.02}\)
= 200Hz
Source: Myschool Past Questions Archive (Record #28380)
Physics
UTME / JAMB 1988
Waves, Sound & Vibrations
A note is called an octave of another note when
A
its frequency is twice that of the first note
B
its frequency is half of the first note
C
the notes have the same fundamental frequency
D
its periodic time is twice that of the first note
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 #28381)
Physics
UTME / JAMB 1988
Current Electricity & Electric Circuits
Solution
Which of the following factors affects the speed of sound in air? i. Temperature ii. pressure iii. Frequency
A
i only
B
ii only
C
i and ii only
D
ii and iii only
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Temperature affects the speed of sound in the air. As temperature increases, the speed of sound increases. The speed of sound is independent of pressure, i.e., it remains unchanged by the increase or decrease of pressure. Frequency does not affect the speed of sound; it only affects the pitch of the sound.
Source: Myschool Past Questions Archive (Record #28382)
Physics
UTME / JAMB 1988
Current Electricity & Electric Circuits
Solution
The speed of sound in air at sea level is 340ms\(^{-1}\) while that of light is 300 000kms\(^{-1}\). How far (to the nearest meter) from the center of a thunderstorm is an observer who hears a thunder 2s after a lightning flash?
A
170m
B
340m
C
600m
D
680m
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Distance = 340 x 2 = 680m
Source: Myschool Past Questions Archive (Record #28383)
Physics
UTME / JAMB 1988
Waves, Sound & Vibrations
Solution
A slight loading of a tuning fork has the effect of
A
decreasing its amplitude
B
increasing its amplitude
C
decreasing its frequency
D
increasing its frequency
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
When the prongs of the tuning fork are loaded, it causes an increase in their inertia, thereby decreasing the frequency of the fork.
Source: Myschool Past Questions Archive (Record #28384)