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Physics
UTME / JAMB 1989
Mechanics and Properties of Matter
Solution
Two points on a velocity time-graph have coordinates (5s, 10ms-1) and (20s, 20ms-1). Calculate the mean acceleration between the two points
A
0.67ms-1
B
0.83ms-1
C
1.50ms-1
D
2.00ms-1
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
a = \(\frac{v - u}{\Delta t}\)
a = \(\frac{20 - 10}{20 - 5}\)
a = 0.67ms-1
Source: Myschool Past Questions Archive (Record #28311)
Physics
UTME / JAMB 1989
Mechanics and Properties of Matter
A thin film of liquid is trapped between two glass plates. The force required to pull the plates apart will increase if the
A
surface tension of the liquid is reduced
B
perpendicular distance between the plates is increased
C
area of the liquid surface in contact with the plates is increased
D
pressure of the air is decreased
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 #28316)
Physics
UTME / JAMB 1989
Mechanics and Properties of Matter
Solution
A block-and-tackle system is used to lift a load of 20N through a vertical height of 10m. if the efficiency of the system is 40%, how much work is done against friction?
A
80J
B
120J
C
300J
D
500J
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Efficiency = \(\frac{output}{input}\) x 100
40 = \(\frac{20\times10}{input}\) x \(\frac{100}{1}\)
input = 500J
work against friction = input - output
= 500 - 200 = 300J
Source: Myschool Past Questions Archive (Record #28321)
Physics
UTME / JAMB 1989
Mechanics and Properties of Matter
Which of the following devices are used to measure pressure? i. Aneroid barometer. ii. hydrometer. iii. hygrometer. iv. manometer.
A
i and iii
B
ii and iii
C
iii and iv
D
i 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 #28322)
Physics
UTME / JAMB 1989
Mechanics and Properties of Matter
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
Mechanics and Properties of Matter
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
Mechanics and Properties of Matter
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
Mechanics and Properties of Matter
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
Mechanics and Properties of Matter
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
Mechanics and Properties of Matter
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
Mechanics and Properties of Matter
Solution
When a radiation strikes a metal surface, electrons may be ejected from the metal. The maximum kinetic energy which may be acquired by an ejected electron depend on the
A
intensity of the radiation
B
source of the radiation
C
wavelength of the radiation
D
detection device of the electron
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
The maximum kinetic energy of an emitted electrons is independent of the intensity of the incident light but proportional to the frequency ( wavelength) of incident light. increasing the intensity of light only increases the number of photo-electrons
Source: Myschool Past Questions Archive (Record #28361)
Physics
UTME / JAMB 1989
Mechanics and Properties of Matter
Solution
Which of the following is TRUE of the particles emitted in radioactive disintegration?
A
the beta particle is the helium nucleus H
B
the alpha particle is lighter than the beta particle
C
the alpha particle is deflected more than the beta particle in a magnetic field
D
the beta particle is deflected more than the alpha particle in a magnetic field
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Due to their significantly smaller mass, beta particles have much less inertia and are easily "pushed" by the magnetic force, leading to a much greater deflection (curved path) compared to the heavy, bulky alpha particles.
Source: Myschool Past Questions Archive (Record #28362)
Physics
UTME / JAMB 1989
Mechanics and Properties of Matter
The function of a 5-A fuse included in a circuit supplying a household refrigerator with power is to keep the
A
Temperature of the refrigerator low and constant
B
keep current supplied to the refrigerator below 5A
C
Voltage supply constant
D
Current supplies to the refrigeration
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 #41560)
Physics
UTME / JAMB 1989
Mechanics and Properties of Matter
Diagram
The fig above shows a uniform circular object, center R and diameter PS. A circular section 6 and Diameter PR is cut from it. if PQRS is a straight line, where is center of gravity of the figure
Attached Figure / Diagram
A
Q
B
R
C
A point between P and R
D
A point between R and S
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 #41680)
Physics
UTME / JAMB 1989
Mechanics and Properties of Matter
Diagram
A simple pendulum of mass m moves along an arc pf a circle radius R in a vertical plane as shown above. What is the work done by gravity in a downward swing through the angle q to 0 degree
Attached Figure / Diagram
A
mgR sinθ
B
MgR (1- cos θ)
C
mgR
D
mgR (1 - sinθ)
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 #41682)