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Physics
UTME / JAMB 2001
Mechanics and Properties of Matter
Solution
The primary coil of a transformer has N turns and is connected to a 120 V a.c. power line. If the secondary coils has 1 000 turns and a terminal voltage of 1 200 volts, what is the value of N?
A
120
B
100
C
1 000
D
1 200
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
For the transformer, V ∝ ∩
=> V s ∝ ∩s; Vp ∝ ∩p
=> \(\frac{V_p}{V_s} = \frac{∩_p}{∩_s}\), therefore \(\frac{120}{1200} = \frac{∩_p}{1000}\)
therefore ∩\(_p \times 1200 = 120\times 1000\)
∩\(_p = 120\times\frac{1000}{1200}\) = 100
Source: Myschool Past Questions Archive (Record #9097)
Physics
UTME / JAMB 2001
Mechanics and Properties of Matter
Solution
Which of the following metals will provide the greatest shield against ionizing radiation
A
Iron
B
Manganese
C
Alminium
D
Lead
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
D = Lead:
Lead is highly effective at shielding against ionizing radiation, particularly gamma rays, due to its high density and atomic number.
Source: Myschool Past Questions Archive (Record #9126)
Physics
UTME / JAMB 2001
Mechanics and Properties of Matter
Solution
The process of energy production in the sun is
A
nuclear fission
B
nuclear fussion
C
electron collision
D
radioactive decay
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
The sun produces energy primarily through the nuclear fusion of hydrogen nuclei, a reaction that occurs at extremely high temperatures, around 10\(^7\) K.
H\(_1\) + H\(_1\) → \(_2\)H
Source: Myschool Past Questions Archive (Record #9147)
Physics
UTME / JAMB 2001
Mechanics and Properties of Matter
Solution
The force on a current carrying conductor in a magnetic field is greatest when the
A
conductor makes an angle of 60° with the field
B
force is independent of the angles between the fields and the conductor
C
conductor is parallel with the field
D
conductor is at right angle with the field
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
The force on a current carrying conductor in a magnetic field is greatest when the conductor lies perpendicular in the magnetic field
Source: Myschool Past Questions Archive (Record #9190)
Physics
UTME / JAMB 2001
Mechanics and Properties of Matter
Solution
Energy losses through eddy currents are reduced by using
A
low resistance wires
B
insulated soft iron wires
C
few turns of wires
D
high resistance wires
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Eddy currents are loops of electric current induced in conductors by a changing magnetic field, leading to energy losses as heat. Using insulated soft iron wires helps minimize these losses by reducing electrical conductivity and preventing the flow of these currents through insulation.
Source: Myschool Past Questions Archive (Record #9212)
Physics
UTME / JAMB 2001
Mechanics and Properties of Matter
Solution
The magnetic force on a charged particle moving with velocity v is
A
proportional to both the magnitude of the charge and the velocity v
B
independent of the magnitude of the charge
C
proportional to the velocity v only
D
proportional to the magnitude of the charge only
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
The magnetic force on a charge is given by
F = qVB Sinθ,
thus the force is proportional to both the magnitude by the charge (q) and the velocity (V)
(i/e F α qV)
Source: Myschool Past Questions Archive (Record #9502)
Physics
UTME / JAMB 2001
Mechanics and Properties of Matter
Diagram
Solution
The diagram above is a block and tackle pulley system in which an effort of 80N is use to lift a load of 240N. The efficiency of the machine is
Attached Figure / Diagram
A
60%
B
50%
C
40%
D
33%
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Since the number of pulleys present is 6, it implies that the velocity ratio V.R = 6
Efficiency = \(\frac{\text{M.A}}{\text{V.R}}\times \frac{100}{1}\)
= \(\frac{Load}{Effort}\times\frac{1}{V.R}\times\frac{100}{1}\)
= \(\frac{240}{80} \times\frac{1}{6} \times\frac{100}{1}\)
= 50%
∴ Efficiency = 50%
Source: Myschool Past Questions Archive (Record #11818)
Physics
UTME / JAMB 2001
Mechanics and Properties of Matter
Diagram
Solution
The diagram above shows two capacitors P and Q of capacitance 2μF and 4μF respectively connected to a d.c source. The ratio of energy stored in P to Q is
Attached Figure / Diagram
A
4:1
B
2:1
C
1:4
D
1:2
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Energy = 1/2CV2
∴Energy of P = 1/2 x 2 x V2 = V2
Energy of Q = 1/2 x 4 x V2 = 2V2
∴ P/Q = V2/2V2 = 1/2 => P:Q = 1:2
Source: Myschool Past Questions Archive (Record #11838)
Physics
WAEC / WASSCE 2001
Mechanics and Properties of Matter
Solution
Which of the following physical processes cannot be explained by the molecular theory of matter?
A
evaporation
B
thermal conduction
C
radiation of heat
D
convectional current of fliuds
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
The molecular theory of matter explains processes like evaporation, thermal conduction, and convection, but it does not account for heat radiation, which involves energy transfer through electromagnetic waves and does not require a medium.
Source: Myschool Past Questions Archive (Record #33863)
Physics
WAEC / WASSCE 2001
Mechanics and Properties of Matter
Solution
Which of the following statements about pressure is not correct? pressure
A
increases with an increase in surface area
B
decreases with an increase in surface area
C
increases with a decrease in surface area
D
increases with an increase in the applied force
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Pressure = \(\frac{\text{Force}}{\text{cross-sectional area}}\)
From the equation above Option A is incorrect: increases with an increase in surface area
Source: Myschool Past Questions Archive (Record #33866)
Physics
WAEC / WASSCE 2001
Mechanics and Properties of Matter
Solution
The apparent weight of a body fully immersed in water is 32N and its weight in air is 96N. Calculate the volume of the body. [Density of water = 1000kgm-3, g = 10ms-2]
A
8.9 x 10-3m3
B
6.4 x 10-3m3
C
3.2 x 10-3m3
D
3.0 x 10-3m3
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Upthrust = 96 - 32 = 64N
mass(m) = \(\frac{64}{10} = 6.4 kg\)
volume = \(\frac{mass}{Density} = \frac{6.4}{1000}\)
= 6.4 x 10-3m3
Source: Myschool Past Questions Archive (Record #33867)
Physics
WAEC / WASSCE 2001
Mechanics and Properties of Matter
Solution
A block weighing 15N rests on a flat surface and a horizontal force of 3N is exerted on it. Determine the friction force on the block
A
0.3N
B
0.5N
C
3.0N
D
5.0N
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Given that:
Weight of the block: 15N
Horizontal force applied: 3N
Since the applied force (3 N) is less than the maximum static friction (which can be greater than or equal to the weight of the block), the friction force will match the applied force to prevent motion
Therefore, The friction force on the block is: 3N
Source: Myschool Past Questions Archive (Record #33868)
Physics
WAEC / WASSCE 2001
Mechanics and Properties of Matter
Solution
Which of the following equations represents the distance x, travelled by a body moving on a straight road with a constant speed? [The other symbol have their usual meanings]
A
x = Ut + \(\frac{1}{2}t^2\)
B
x = Ut
C
x = \(\frac{V^2 - U^2}{2a}\)
D
x = -\(\frac{1}{2} at^2\)
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
For a body moving at a constant speed, the distance x traveled can be represented by the equation:
x = U t
(constant speed = zero acceleration)
Source: Myschool Past Questions Archive (Record #33869)
Physics
WAEC / WASSCE 2001
Mechanics and Properties of Matter
Solution
The amplitude of the motion of a body performing simple harmonic motion decreases with time because
A
friction force dissipate the energy of motion
B
the frequency of oscillation varies with time
C
the period of oscillation varies with time
D
energy is supplied by some external agency
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
The amplitude of the motion of a body performing simple harmonic motion (SHM) decreases over time primarily due to energy loss, often caused by friction or other resistive forces. Therefore OPTION A is correct.
Source: Myschool Past Questions Archive (Record #33870)
Physics
WAEC / WASSCE 2001
Mechanics and Properties of Matter
Solution
The amplitude of a particle executing simple harmonic motion in 5cm while its angular frequency is 10 rad s-1. calculate the magnitude of the maximum acceleration of the particle
A
0.25ms-2
B
0.50ms-2
C
2.00ms-2
D
5.00ms-2
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
amax = \(\omega^2 r = 10^2 \times \frac{5}{100} = 5ms^{-2}\)
Source: Myschool Past Questions Archive (Record #33872)