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Physics
WAEC / WASSCE 2003
Mechanics and Properties of Matter
Solution
A converging lens has a focal length of 5cm. Determine its power
A
+20.0
B
+0.2
C
-20.00
D
-0.2
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
p = \(\frac{100}{f} = \frac{100}{+5} = +20\)
Source: Myschool Past Questions Archive (Record #34221)
Physics
WAEC / WASSCE 2003
Mechanics and Properties of Matter
Solution
A sonometer wire of linear density 0.08kg m-1 subjected to a tension of 800N is plucked. Calculate the speed of a pulse which moves from one end of the wire to the other
A
179.0ms-1
B
100.0ms-1
C
15.8ms-1
D
8.0ms-1
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
v = \(\sqrt{\frac{T}{m}} = \sqrt{\frac{800}{0.08}} = 100\)m/s
Source: Myschool Past Questions Archive (Record #34225)
Physics
WAEC / WASSCE 2003
Mechanics and Properties of Matter
Which of the following features of an electrostatic line of force is not correct?
A
it is an imaginary line which a positive charge will describe if it is free to move
B
the tangent drawn at any point on a curved line of force shows the direction of the electric field intensity at that point
C
it is sometimes curved
D
it can cross another line of force in a region of intense electric field
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 #34227)
Physics
WAEC / WASSCE 2003
Mechanics and Properties of Matter
Which of the following statement about force is correct ?
A
electrostatic, gravitational and magnetic forces are always attractive
B
electric, gravitational and magnetic field obeys inverse square law
C
fields are real but their corresponding field lines are imaginary
D
field lines and their corresponding fields are both real
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 #34228)
Physics
WAEC / WASSCE 2003
Mechanics and Properties of Matter
Solution
The maximum power dissipated by a 100\(\Omega\) resistor in a circuit is 4W. Calculate the voltage across the resistor
A
10V
B
20V
C
25V
D
400V
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
\(V^2 = PR = V = \sqrt{4} \times 100\)
= 20V
Source: Myschool Past Questions Archive (Record #34234)
Physics
WAEC / WASSCE 2003
Mechanics and Properties of Matter
The minimum energy required to remove an electron from an atom is known as
A
excitation energy
B
ionization energy
C
binding energy
D
photon energy
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 #34241)
Physics
UTME / JAMB 2003
Mechanics and Properties of Matter
Solution
A bead traveling on a straight wire is brought to rest at 0.2m by friction. If the mass of the bead is 0.01kg and the coefficient of friction between the bead and the wire is 0.1 determine the work done by the friction
A
\( 2 \times 10^{-4}J \)
B
\( 2 \times 10^{-3}J \)
C
\( 2 \times 10^{1}J \)
D
\( 2 \times 10^{2}J \)
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Work done by friction = Friction force x Displacement from the relation, f = uR
where u = coefficient of friction; R= Normal reaction
F = u mg (R =mg)
= 0.1 x 0.01 x 10
work done = F x Displacement
= 0.1 x 0.01 x 10 x 0.2
= 0.002 or \( 2 \times 10^{-3}J \)
Source: Myschool Past Questions Archive (Record #41452)
Physics
UTME / JAMB 2003
Mechanics and Properties of Matter
Solution
An electron makes a transition from a certain energy level Ek to the ground state E0. If the frequency of emission is 8.0 x 1014Hz The energy emitted is
A
8.25 x 10-19J
B
5.28 x 10-19J
C
5.28 x 1019J
D
8.25 x 1019J
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Atomic emission and absorption of energy is usually in packets referred to as photon or quantum of energy of magnitude E =hf, where f is the frequency and h is the plancks constant
Energy emitted = hf
= 6.6 x 10-34 x 8.0 x 10-14
= 5.28 x 10-19J
Source: Myschool Past Questions Archive (Record #41455)
Physics
UTME / JAMB 2003
Mechanics and Properties of Matter
Solution
A force of 100N was used to kick a football of mass 0.8kg. Find the velocity with which the ball moves if it takes 0.8s to be kicked
A
\(32ms^{-1} \)
B
\(50ms^{-1} \)
C
\(64ms^{-1} \)
D
\(100ms^{-1} \)
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
From Newton's second law:
\( F = \frac{mV - mµ}{t} \)
Let the final velocity = V; and since the football is initially at rest, its initial vel µ = 0, M = 0.8kg
t = 0.8s
\(\implies 100 = \frac{0.8V - 0.8 \times 0}{0.8}\)
\(\text{Therefore } V = \frac{100 \times 0.8}{0.8} = 100ms^{-1}\)
Source: Myschool Past Questions Archive (Record #41456)
Physics
UTME / JAMB 2003
Mechanics and Properties of Matter
Solution
Given that Young's modulus for aluminium is 7.0 x 10\(^{10}Nm^{-2}\) and density is 2.7 x 10\(^3\)kgm\(^{-3}\), find the speed of the sound produced if a solid bar is struck at one end with a hammer
A
5.1 x 103ms-1
B
4.2 x 103ms-1
C
3.6 x 103ms-1
D
2.8 x 103ms-1
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
The speed of sound in a material is given as:
V = \(\sqrt{\frac{E}{P}}\), Where
E = Young's modulus
P = Density
Therefore, V = \(\sqrt{\frac{7.0 \times 10^{10}}{2.7 \times 10^3}}\) = 5091.75
= 5.1 \(\times 10^3ms^{-1} \)
Source: Myschool Past Questions Archive (Record #41457)
Physics
UTME / JAMB 2003
Mechanics and Properties of Matter
Solution
If the uncertainty in the measurement of the position of a particle is 5.0 x 10-10m, the uncertainty in the momentum of the particle is
A
1.32 x 10-44Ns
B
3.30 x 10-44Ns
C
1.32 x 10-24Ns
D
3.30 x 10-24Ns
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
From the uncertainty principle the product of the position and momentum of a sub-atomic particle is equal or greater than planck's constant.
i.e \( \Delta x. \Delta p \geq h.\)
\(\text{Thus} 5 \times 10^{-10} \times \Delta p = 6.6 \times 10^{-34}\)
\(\Delta p = \frac{6.6 \times 10^{-34}}{5 \times 10^{-10}} = 1.32 \times 10^{-24}Ns\)
\(\text{Therefore Uncertainty in the momentum } = 1.32 \times 10^{-24}Ns \)
Source: Myschool Past Questions Archive (Record #41458)
Physics
UTME / JAMB 2003
Mechanics and Properties of Matter
Solution
In a fission process, the decrease in mass is 0.01%. How much energy could be obtained from the fission of 0.1g of the material
A
\( 9.0 \times 10^{9}J \)
B
\( 9.0 \times 10^{10}J \)
C
\( 6.3 \times 10^{11}J \)
D
\( 9.0 \times 10^{11}J \)
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
In general, the energy released during nuclear fission is given by Einstein's mass-energy equation, given by
\( E = \Delta MC^2 \)
Where \( \Delta m\) is the mass defect, and C is the speed of light.
Therefore
\( \Delta m = 0.01% \text{of} 1.0g = \frac{0.01}{100}\times 1.0g \)
= 1.0 \(\times 10^{-4} \)
= 1.0 \(\times 10^{-7}kg\)
\(\text{Energy Released } = \Delta MC^2 \)
= 1.0 \(\times 10^{-7} \times (3.0 \times 10^8)^2\)
= 1.0 \(\times 10^{-7} \times 9.0 \times 10^{16} \)
= 9.0 \(\times 10^9 J \)
Source: Myschool Past Questions Archive (Record #41459)
Physics
NECO SSCE 2003
Mechanics and Properties of Matter
Young’s modulus of elasticity is the ratio of stress to strain, provided the load does not exceed the
A
breaking point
B
elastic limit
C
plastic limit
D
stress limit
E
yield point
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 #42905)
Physics
NECO SSCE 2003
Mechanics and Properties of Matter
A machine has an efficiency of 80%. If the machine is required to overcome a load of 60N with a force of 40N, calculate its velocity ratio.
A
0.53
B
0.83
C
1.20
D
1.50
E
1.88
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 #42909)
Physics
NECO SSCE 2003
Mechanics and Properties of Matter
Lines of force
I. Begin and end on equal and opposite electric charges.
II. are in state of tension which causes them to shorten
III. attract one another.
Which of the statement(s) is/are correct?
A
I only
B
II only
C
III only
D
I and II 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 #42913)