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Physics
UTME / JAMB 1989
Current Electricity & Electric Circuits
Solution
A piece of wood of mass 40g and uniform cross-sectional area of 2cm2 floats upright in water. The length of the wood immersed is
A
30cm
B
40cm
C
20cm
D
2cm
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Mw displaced = 40g
density = \(\frac{mass}{\text{area x height}}\)
I = \(\frac{40}{2\times h}\)
h = 20cm
Source: Myschool Past Questions Archive (Record #28323)
Physics
UTME / JAMB 1989
Temperature, Thermometry & Thermal Expansion
Solution
The pressure on the gas of constant gas thermometer at the ice point is 325mm of mercury and at the steam point is 875mm of mercury. Find the temperature when the pressure of the gas is 190mm of mercury
A
30k
B
243k
C
300k
D
3003k
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
100\(\theta\) .... 875mm
0\(\theta\) ....325mm
\(\theta\) .... 190mm
\(\frac{0 - \theta}{100 - \theta}\) = \(\frac{325 - 190}{875 - 190}\)
\(\theta\) = -25oC
= 243k
Source: Myschool Past Questions Archive (Record #28328)
Physics
UTME / JAMB 1989
Current Electricity & Electric Circuits
Solution
A column of air 10.0cm long is trapped in a tube at 27oC. What is the length of the volume at 100oC?
A
12.4cm
B
13.7cm
C
18.5cm
D
37.0cm
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
\(\frac{V_1}{T_1}\) = \(\frac{V_2}{T_2}\)
\(\frac{10\times A}{27 + 273}\) = \(\frac{L\times A}{100 + 273}\)
L = 12.43cm
Source: Myschool Past Questions Archive (Record #28329)
Physics
UTME / JAMB 1989
Current Electricity & Electric Circuits
Solution
A mass of gas at 7oC and 70cm of mercury has a volume of 1200cm3. Determine its volume at 27oC and pressure of 75cm of mercury.
A
1200cm3
B
1378cm3
C
4320cm3
D
4629cm3
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
\(\frac{V_1P_1}{T_1}\) = \(\frac{V_2P_2}{T_2}\)
\(\frac{70 \times 1200}{7 \times 273}\) = \(\frac{75 \times V_2}{27 + 273}\)
V2 = 1200cm3
Source: Myschool Past Questions Archive (Record #28334)
Physics
UTME / JAMB 1989
Calorimetry, Latent Heat & Change of State
Solution
An electric heater is used to melt a block of ice of mass 1.5kg. If the heater is powered by a 12V battery and a current of 20A flows through the coil, calculate the time taken to melt the block of ice at 0oC. [specific latent heat of fusion of ice = 336 x 103Jkg-1]
A
76.0min
B
35.0min
C
21.0min
D
2.9min
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Elect. energy = heat energy
IVt = mL
20 X 12 t = 1.5 x 336 x 103
t = 2100 sec ; t = 35mins.
Source: Myschool Past Questions Archive (Record #28336)
Physics
UTME / JAMB 1989
Work, Energy, Power & Simple Machines
From the kinetic theory of gases, temperature is a
A
form of energy and is proportional to the total kinetic energy of the molecules
B
form of energy and is proportional to the average kinetic energy of the molecules
C
physical property and is proportional to the total kinetic energy of the molecules
D
physical property and is proportional to the average kinetic energy of the molecules
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 #28337)
Physics
UTME / JAMB 1989
Waves, Sound & Vibrations
Solution
A vibrator of frequency 60Hz is used in generating transverse stationary waves in a long thin wire, If the average distance between successive nodes on the wire is 45cm, find the speed of the transverse waves in the wire.
A
27ms-1
B
54ms-1
C
90ms-1
D
108ms-1
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
f = 60Hz, l = 45cm = 0.45m
\lambda = 2l = 2 x 0.45 = 0.90m V = f\lambda = 0.9 x 60 = 54m/s
Source: Myschool Past Questions Archive (Record #28338)
Physics
UTME / JAMB 1989
Lenses & Optical Instruments
Solution
A far sighted person cannot see objects that are less than 100cm away. If this person wants to read a book at 25cm, what type and focal length of lens does he need?
A
convex, 20cm
B
concave, 20cm
C
convex, 33cm
D
concave, 33cm
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Distance of the object u = −25cm (negative because the object is in front of the lens), Maximum distance the person can see clearly, v = −100cm (also negative for the same reason)
Using lense formula, \(\frac{1}{f}\) = \(\frac{1}{v}\) - \(\frac{1}{u}\)
\(\frac{1}{f}\) = \(\frac{1}{-100}\) - \(\frac{1}{-25}\)
\(\frac{1}{f}\) = \(\frac{1}{-100}\) + \(\frac{1}{25}\) = \(\frac{- 1 + 4}{100}\)
\(\frac{1}{f}\) = \(\frac{3}{100}\)
f = \(\frac{100}{3}\) = 33.33cm
Thus, the person needs a convex lens (since it is used to help a far-sighted person) with a focal length of approximately equal to 33.33cm
Source: Myschool Past Questions Archive (Record #28349)
Physics
UTME / JAMB 1989
Current Electricity & Electric Circuits
Solution
When a yellow card is observed through a blue glass, the card would appear.
A
black
B
green
C
red
D
white
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Yellow light is a mixture of red and green light, hence, yellow will reflect red and green light. This means that a yellow object will appear red under red light, and green under green light. Yellow does not contain blue, so it will appear black under blue light.
Source: Myschool Past Questions Archive (Record #28350)
Physics
UTME / JAMB 1989
Current Electricity & Electric Circuits
Dispersion of light by a glass prism is due to the
A
different colours of the glass
B
different speeds of the various colours in glass
C
defects in the glass
D
high density of glass
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 #28351)
Physics
UTME / JAMB 1989
Atomic, Quantum, Nuclear Physics & Electronics
Which of the following pairs is NOT part of the electromagnetic spectrum? i. Radio waves. ii. Beta rays. iii. Gamma rays. iv. Alpha rays
A
i and ii
B
iii and iv
C
i and ii
D
ii and iv
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 #28352)
Physics
UTME / JAMB 1989
Current Electricity & Electric Circuits
Two insulated charged spheres of different sizes and carrying opposite charges are connected together by a metallic conductor. Current will flow from one sphere to the other until both sphere
A
carry the same magnitude and sign of charge
B
are at the same potential
C
are at the same temperature
D
are of the same size
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 #28353)
Physics
UTME / JAMB 1989
Waves, Sound & Vibrations
Solution
In a sound wave in air, the adjacent rarefactions and compressions are separated by a distance of 17cm. If the velocity of the sound wave is 340ms-1. Determine the frequency
A
10Hz
B
20Hz
C
1000Hz
D
5780Hz
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
\(\lambda\) = 2L
2 x 17 = 34cm
F = \(\frac{V}{\lambda}\)
= \(\frac{340}{34 \times 10^{-2}}\)
= 1000Hz
Source: Myschool Past Questions Archive (Record #28342)
Physics
UTME / JAMB 1989
Waves, Sound & Vibrations
Solution
Light of wavelength 5000 x 10-8cm travels in free space with a velocity of 3 x 108ms-1. What is its wavelength in glass of refractive index 1.5?
A
3333 x 10-8cm
B
5000 x 10-8cm
C
6666 x10-8cm
D
750010-8cm
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
n = \(\frac{\text{wavelength in space}}{\text{wavelength in glass}}\)
1.5 = \(\frac{5000 \times 10^{-8}}{\lambda g}\)
\(\lambda\)g = 3333 x 10-8cm
Source: Myschool Past Questions Archive (Record #28344)
Physics
UTME / JAMB 1989
Reflection, Refraction & Dispersion of Light
Solution
The magnification of the image of an object placed in front of a convex mirror is \(\frac{1}{3}\). If the radius of curvature of the mirror is 24cm, what is the distance between its object and its image?
A
8cm
B
16cm
C
24cm
D
32cm
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
F = uv ; v = 1u
12 = \(\frac{v + 3v}{v + 3v}\)
v = 16cm, u = 48cm
distance between U and V
= 48 - 16 =32cm
Source: Myschool Past Questions Archive (Record #28345)