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Physics
UTME / JAMB 1991
Mechanics and Properties of Matter
Diagram
A body is under action of a force F such that the force displacement graph of the body is semi circular as shown above. The work done on the body by the force in moving through 24 meters is
Attached Figure / Diagram
A
36π J
B
72π J
C
144π J
D
288π J
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 #41697)
Physics
WAEC / WASSCE 1991
Mechanics and Properties of Matter
Solution
(a) Distinguish between temperature and heat. State the units in which they are measured
(ii) State two physical properties used for measuring temperature.
(b) (i) Describe, with the aid of a diagram, how the upper fixed point is determined for a mecury-in-glass thermometer. State one precaution to ensure accurate results
(ii) State one advantage which a constant-volume gas thermometer has over other thermometers and one reason why it is seldom used as an everyday laboratory instrument.
(c) Using the kinetic theory of matter explain why evaporation causes cooling.
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
(a)(i) Temperature is a number which expresses how hot or cold a body is on scale such as centigrade or kelvin. S.I. unit is kelvin (K). Temperature decides which direction heat will flow while, heat is a form of energy S.I. is Joules (J).
(ii) Two physical properties used for measuring temperature are:- (1) Change in volume of liquid with temperature (2) Change in resistance. Others are: (3) Expansion of solids (4) Expansion of volume of gas.
(b)(i) Determination of the upper - fixed point for a mercury-in-glass thermometer.
To determine the upper fixed point, a hypsometer is used. The experiment is set up as shown above. The manometer is used to measure the pressure of the steam.
If it is not 76cm Hg, an adjustment is made to the upper fixed point. When the mercury level is constant, a mark is made on its glass to fix the point. One precaution that must be observed in this experiment is that the thermometer must not touch the water, because its temperature is affected by dissolved impurities in the water.
(ii) The constant - volume gas thermometer measures temperature more accurately than other thermometers because its glass expansion is negligible compared to the expansion of the gas. It is seldom used as everyday laboratory thermometer because it is not easily handled unlike the laboratory thermometer.
(c) In the kinetic theory, molecules are in random motion. They all have different velocities. Near the surface, some liquid molecules with high velocities in an upward direction may have sufficient kinetic energy to break through the surface. Then they become molecules of vapour. The average kinetic energy of the liquid remaining is therefore reduced, and so its temperature is lowered.
Source: Myschool Past Questions Archive (Record #54774)
Physics
WAEC / WASSCE 1991
Mechanics and Properties of Matter
Solution
(a)(i) By means of a labelled diagram, describe the mode uf operation of a modern X-ray tube.
(ii) State the energy transformation which takes place during the operation.
(b) Explain the terms hardness and intensity as applied to X-rays
(c)(i) State three uses of X-rays
(ii) State one hazard of over-exposure to X-rays in a radiological laboratory, indicating two safety precautions.
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
(a)(i)
Mode of Operation:
In the X-ray tube a Low voltage high p.d is applied between the hot cathode and the anode. Electrons are emitted from the cathode and are accelerated to an extremely high speed. They are suddenly decelerated when they strike the anode causing the emission of high - energy radiation of short wavelength - X-ray. In this process the anode becomes very hot, and requires cooling fins on the outside of the tube.
Energy Transformation: The electrons have kinetic energy which is partly changed to internal energy (potential) and finally changed to heat energy.
(b) Hardness: Refers to X-rays with high penetrating power, short wavelength but high frequency. They are produced by increasing the p.d. between the cathode and anode. Such X-rays are called hard X-rays. Less penetrating or lower frequency ones are called soft X-rays. They are produced at lower p.d.
Intensity: High intensity X-rays beam results from the increase of current through the filament which leads to increase in the number of electrons.
(c)(i) Uses of X-rays:
(1) Investigating the structure of crystals ; (2) X-ray examination of the body for broken bones; (3) As invincible bullets for the treatment of tumours ; (4) Examination of metals for defects and fractures.
(ii) They may cause damage to living tissue and to cells. Precaution to be taken includes lead screening and regular health checks.
Source: Myschool Past Questions Archive (Record #54776)
Physics
WAEC / WASSCE 1990
Mechanics and Properties of Matter
Solution
A particle of mass 2.5 x 10-6kg revolving around the earth has a radial acceleration of 4 X 107 ms-2. What is the centripetal force of the particles?
A
6.25 x 10-14N
B
1.60 x10-13N
C
5.00 x 10N
D
1.00x102N
E
2.00x1O2N
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
F = ma = 2.5 x 10-6 x 4 x 107 = 100N
Source: Myschool Past Questions Archive (Record #24081)
Physics
WAEC / WASSCE 1990
Mechanics and Properties of Matter
Diagram
Solution
An oscillating pendulum has a velocity of 2ms-1 at the equilibrium position O and velocity at same point P. Using the diagram above, calculate the height of P above O. (Take g = 10ms2)
Attached Figure / Diagram
A
5.0m
B
2.0m
C
0.4m
D
0.2m
E
0.1m
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Kinetic energy at O = P.E at P 1/2mV = mgh
h = v/2g = 0.2m
Source: Myschool Past Questions Archive (Record #24082)
Physics
WAEC / WASSCE 1990
Mechanics and Properties of Matter
Which of the following are contact forces? I. Force of tension II. Force of fiction, III. Magnetic force III Force of reaction.
A
I,II and III only
B
I, II and IV only
C
I, III and IV only
D
II, III and IV only
E
l and IV only.
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 #24083)
Physics
WAEC / WASSCE 1990
Mechanics and Properties of Matter
Diagram
Solution
An object R leaves a platform XY with a horizontal velocity of 7m-1 and lands at Q. lf it takes the same object 0.3s to fall freely from Y to P, calculate the distance PQ.(Take g = 1Oms2)
Attached Figure / Diagram
A
7.30m
B
2.55m
C
2.10m
D
1.65m
E
0.45m.
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
D = v x t = 7 x 0.3 = 2.1m
Source: Myschool Past Questions Archive (Record #24089)
Physics
WAEC / WASSCE 1990
Mechanics and Properties of Matter
An object weighs 10.0 N in air and 7.0 N in water. What is its weight when immersed in a liquid of relative density 1.5?
A
4.50N
B
4.67N
C
5.50N
D
6.67N
E
8.50N
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 #24092)
Physics
WAEC / WASSCE 1990
Mechanics and Properties of Matter
Solution
A plane inclined at an angle at 30o to the horizontal has an efficiency of 50%. The force parallel to the plane required to push a load of 120 N uniformly up the plane is
A
40√3N
B
60N
C
120N
D
200N
E
240N
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
E = \(\frac{\text{M.A}}{\text{V.R}}\) ; \(\frac{50}{100}\) = \(\frac{\text{M.A}}{2}\)
M.A = 1; \(\frac{\text{L}}{\text{E}}\) = 1
E = L = 120N
Source: Myschool Past Questions Archive (Record #24084)
Physics
WAEC / WASSCE 1990
Mechanics and Properties of Matter
Solution
A girl whose mass is 55kg stands on a spring - weighing machine inside a lift. When the lift starts to ascend, its acceleration is 2ms1. What will be the reading on the machine? (Take g = ms-2)
A
66 kg
B
55 kg
C
44 kg
D
22 kg
E
11 kg
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Reading = mg + ma = m(g + a) = 55(10 + 2)
= 660N = 66kg
Source: Myschool Past Questions Archive (Record #24086)
Physics
WAEC / WASSCE 1990
Mechanics and Properties of Matter
Diagram
Solution
Two forces each of 4 N act on the opposite sides of a rectangular plate as shown in the diagram above. Calculate the magnitude of g the couple acting on the plate.
Attached Figure / Diagram
A
6.4 Nm
B
3.2 Nm
C
1.6 Nm
D
0.8 Nm
E
0.0 Nm
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
couple moment = F x d = 4 x 0.4 = 1.6Nm
Source: Myschool Past Questions Archive (Record #24087)
Physics
WAEC / WASSCE 1990
Mechanics and Properties of Matter
Diagram
Solution
A force F is applied to a body P as shown in the diagram above. If the body P moves through a distance r, which of the following represents the work done?
Attached Figure / Diagram
A
Fx
B
Fcosθ/x
C
Fx tanθ
D
Fx sinθ
E
Fx cosθ
medium Difficulty
Verified Correct Answer: Option E
Physical Principles & Numerical Solution
resolving F into its components
\(F_x\) = Fcosϴ
\(F_y\) = Fsinϴ
Work done = Force x Distance = Fcosϴ \(\times\) x = Fxcosϴ
Source: Myschool Past Questions Archive (Record #24088)
Physics
WAEC / WASSCE 1990
Mechanics and Properties of Matter
Solution
lf the temperature of a small quantity of water in a closed container is gradually increased from 0o to 40oC then the density of the water within this range
A
increases for a while and then decreases
B
decreases for a while and then increases
C
increases gradually
D
decreases gradually
E
remains the same
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Water has a peculiar property. When temperature rises between 0 to 4^\circC water is not going to expand but it is going to contract. This special property is called anomalous. Therefore at 4^\circC volume of the water is minimum and the corresponding density is maximum.
Source: Myschool Past Questions Archive (Record #24097)
Physics
WAEC / WASSCE 1990
Mechanics and Properties of Matter
A stone is dropped into the middle of a pool of water. Which of the following statements is/are correct? I, Spherical waves are set up in the water. II. The water moves outwards to the sides of the pool. III. Energy is transmitted outwards from the centre of disturbance
A
I only
B
II only
C
III only
D
I and III only
E
II and III only.
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 #24107)
Physics
WAEC / WASSCE 1990
Mechanics and Properties of Matter
Solution
Given that the gravitational constant is 7 X 10-11 Nm2kg-2, what is the force of attraction between 106kg mass of lead hanging one metre away from a 103kg mass of iron?
A
7 x10-20N
B
7 x 10-5N
C
7x10-2N
D
7x103N
E
7x100N
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
F = Gm1m2/r2 = 7 x 10-11 x 106 x 103/1m = 7 x 10-2
Source: Myschool Past Questions Archive (Record #24117)