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Physics
UTME / JAMB 1991
Mechanics and Properties of Matter
Solution
A 20kg mass is to be pulled up a slope inclined at 30o to the horizontal. If the efficiency of the plane is 75%, the force required to pull the load up the plane is [g = 10ms-2]
A
13.3N
B
73.5N
C
133.3N
D
53.2N
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Efficiency = m.A x \(\frac{1}{V.R}\) X 100%
75 = \(\frac{20 \times 10}{effort}\) x \(\frac{1}{\frac{g}{sin\theta}}\) x 100%
Effort = 133.3N
Source: Myschool Past Questions Archive (Record #28139)
Physics
UTME / JAMB 1991
Mechanics and Properties of Matter
Solution
The mass of a stone is 15.0g when completely immersed in water and 10.0g when completely immersed in a liquid of relative density 2.0. The mass of the stone in air is
A
5.0g
B
12.0g
C
20.0g
D
25.0g
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
R.D = \(\frac{\text{ mass of liquid displaced}}{\text {mass of water displaced}}\)
2 = \(\frac{m - 10}{m - 15}\)
m = 20g
Source: Myschool Past Questions Archive (Record #28152)
Physics
UTME / JAMB 1991
Mechanics and Properties of Matter
Solution
A pilot records the atmospheric pressure outside its plane as 63cm of Hg while a ground observer records a reading of 75cm of Hg for the atmospheric pressure on the ground. Assuming that the density of the atmosphere is constant, calculate the height of the plane above the ground. (Relative density of Hg = 13.0 and that of air = 0.00013)
A
1200m
B
6300m
C
7500m
D
13800m
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Difference in pressure = 75 - 63
= 12cmHg
pressure = hge
difference in height = \(\frac{12}{10 \times \frac{0.00013}{13}}\)
= 1200m
Source: Myschool Past Questions Archive (Record #28157)
Physics
UTME / JAMB 1991
Mechanics and Properties of Matter
Solution
How long does it take a 750W heater to raise the temperature of 1kg of water from 20oC to 50oC [specific heat capacity of water = 4200Jkg-1K-1]
A
84s
B
112s
C
168s
D
280s
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Heat energy = Elect. energy
mc\(\theta\) = power x time
1 x 4200 x (50 - 20) = 750 x t
t = 168s
Source: Myschool Past Questions Archive (Record #28180)
Physics
UTME / JAMB 1991
Mechanics and Properties of Matter
The saturated vapour pressure of a liquid increases as the
A
volume of the liquid increases
B
volume of the liquid decreases
C
temperature of the liquid increases
D
temperature of the liquid decreases
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 #28181)
Physics
UTME / JAMB 1991
Mechanics and Properties of Matter
Solution
When the bottom tip of a vibrating tuning fork is held in contact with a wooden box, a louder sound is heard. This phenomenon is known as
A
beats
B
echoing
C
resonance
D
reverberation
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
The wooden box is in forced vibration, and the louder sound(higher amplitude) heard arises from the fork's forcing frequency coinciding with the box's natural frequency.
Source: Myschool Past Questions Archive (Record #28194)
Physics
UTME / JAMB 1991
Mechanics and Properties of Matter
Solution
An equipment whose power is 1500W and resistance is 375 ohms would draw a current of
A
0.10A
B
2.00A
C
4.00A
D
77.5A
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
P = I2R \(\Rightarrow\) I = \(\sqrt\frac{P}{R}\)
I = \(\sqrt\frac{1500}{375}\)
= 2A
Source: Myschool Past Questions Archive (Record #28200)
Physics
UTME / JAMB 1991
Mechanics and Properties of Matter
Solution
which of the following statements are TRUE of isotopes? i. isotopes of an element have the same chemical properties because they have the same number of electrons. ii. isotopes of elements are normally separated using physical properties. iii. isotopes of an element have the same number of protons in their nuclei.
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
Isotopes of an element have the same chemical properties because they have the same number of electrons (and the same electron configuration). Chemical behaviour is determined by the electrons, not the neutrons.
Isotopes are normally separated using physical properties (e.g., differences in mass, density, diffusion rate, or boiling point). Methods include gaseous diffusion, centrifugation, electromagnetic separation, or distillation. They cannot be easily separated by chemical methods because their chemical properties are almost identical. Isotopes of an element have the same number of protons in their nuclei (this is the definition — same atomic number, different mass numbers due to varying neutrons).
Source: Myschool Past Questions Archive (Record #28205)
Physics
UTME / JAMB 1991
Mechanics and Properties of Matter
Solution
In a nuclear fusion process, four protons each of mass Mp were fused to produce a nucleus X of mass Mx. Which of the following equations is CORRECT?
A
4Mp > Mx
B
4Mp = Mx
C
4Mp x
D
Mp > Mx
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Energy is given out
Source: Myschool Past Questions Archive (Record #28208)
Physics
WAEC / WASSCE 1991
Mechanics and Properties of Matter
A body moves with a constant speed but has an acceleration. this process if it
A
moves in a straight line
B
moves in a circle
C
is oscillating
D
is in equilibrum
E
has a varrying acceleration
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 #33191)
Physics
WAEC / WASSCE 1991
Mechanics and Properties of Matter
Solution
A ball is projected horizontally from the top of a hill with a velocity of 20m-1. If it reaches the ground 4 seconds later, what is the height of the hill? (g = 10ms-2)
A
20m
B
40m
C
80m
D
160m
E
200m
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Initial horizontal velocity = 20ms-1
Initial vertical velocity = 0
s = ut + \(\frac{1}{2}gt^2\) = 0 x 5 x 42
= 80m
Source: Myschool Past Questions Archive (Record #33193)
Physics
WAEC / WASSCE 1991
Mechanics and Properties of Matter
Solution
A body moving with uniform acceleration has two points(5, 15) and (20, 60) on the velocity-times graph of its motion. Calculate the acceleration of the body
A
0.25ms-2
B
3.00ms-2
C
4.00ms-2
D
9.00ms-2
E
16.00ms-2
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
slope = acceleration
a = \(\frac{v_2 - v_1}{t_2 - t_1} = \frac{60- 15}{20 - 5}\)
= 3ms\(^{-2}\)
Source: Myschool Past Questions Archive (Record #33196)
Physics
WAEC / WASSCE 1991
Mechanics and Properties of Matter
Solution
A fixed mass of gas of volume 600cm3 at a temperature of 27oC is cooled at constant pressure to a temperature of 0oC. What is the change in volume?
A
54cm2
B
273cm2
C
300cm2
D
546cm2
E
600cm2
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
\(\frac{V_1}{T_1} = \frac{V_2}{T_2}\)
T2 = 0 + 273 = 273k
V1 = 600
T1 = 27 + 273 = 300k
V2 = \(\frac{V_1T_2}{T_1}\) = 546cm
V1 - V2 = 54cm
Source: Myschool Past Questions Archive (Record #33292)
Physics
WAEC / WASSCE 1991
Mechanics and Properties of Matter
Diagram
the diagram above shows the position of a simple pendulum set in motion. At which of the positions does the pendulum have maximum kinetic energy?
Attached Figure / Diagram
A
5
B
4
C
3
D
2
E
1
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 #33199)
Physics
WAEC / WASSCE 1991
Mechanics and Properties of Matter
power is defined as the
A
capacity to exert a force
B
product of force and time
C
product of force and distance
D
ability to do work
E
energy expended per unit time
medium Difficulty
Verified Correct Answer: Option E
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option E.
Source: Myschool Past Questions Archive (Record #33204)