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Physics
WAEC / WASSCE 2013
Electricity and Magnetism
Solution
A coil of inductance 0.12 H and resistance 4\(\Omega\), is connected across a 240V, 50Hz supply. Calculate the current through it. [\(\pi\) = 3.142]
A
6.3A
B
33.3A
C
37.2A
D
40.0A
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
XL = \(2\pi f L\)
= = 2 x 3.142 x 50 x 0.12
= 37.68\(\Omega\)
Z = \(\sqrt{R^2 + X_L^2} = \sqrt{4^2 + 37.68^2}\)
I = \(\frac{V}{z} = \frac{240}{37.89}\)
= 6.3A
Source: Myschool Past Questions Archive (Record #35714)
Physics
WAEC / WASSCE 2013
Mechanics and Properties of Matter
Solution
The work function of a metal is 2.56 x 10-19J. Calculate the frequency of a photon whose energy is required to eject from the metal an electron with kinetic energy of 3.0ev. [1 eV = 1.6 x 10-19J, h = 6.6 x 10-34Js]
A
5.56 x 1019Hz
B
1.66 x 1019Hz
C
1.12 x 1015Hz
D
8.42 x 1014Hz
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
F = \(\frac{K.E + Wo}{h}\)
= \(\frac{3.0 \times 1.6 \times 10^{-19} + 2.56 \times 106{-19}}{6.6 \times 106{-34}}\)
- 1.12 x 10-15HZ
Source: Myschool Past Questions Archive (Record #35719)
Physics
WAEC / WASSCE 2013
Mechanics and Properties of Matter
The minimum energy required to cause photoelectric emission when the surface of a metal is irradiated with electromagnetic radiation of suitable frequency is called
A
critical energy
B
ionization energy
C
work function
D
planck's constant
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 #35722)
Physics
WAEC / WASSCE 2013
Heat Energy & Temperature
Which of the following particles are termed nucleons in a neutral atom?
A
protons and neutrons
B
neutrons and electrons
C
protons and electrons
D
protons, electrons and neutrons
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option A.
Source: Myschool Past Questions Archive (Record #35724)
Physics
WAEC / WASSCE 2013
Heat Energy & Temperature
Which of the following statements about the use of radioisotopes is not correct? They are used to
A
induce mutations in plants and animals to obtain new and improved varieties
B
trace the paths of metabolic processes in plants and animals
C
estmate the age of rocks
D
locate broken bones
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option A.
Source: Myschool Past Questions Archive (Record #35727)
Physics
WAEC / WASSCE 2013
Electricity and Magnetism
Diagram
Solution
An electric circuit is connected as illustrated above. Determine the equivalent e.m.f and current flowing through the circuit respectively, neglecting the internal resistance of the cells
Attached Figure / Diagram
A
2V, 1.0A
B
2V, 4.0A
C
6V, 0.3a
D
6V, 3.0a
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Net e.m.f = 2.0v ( parallel connection)
= 2V, R = 2\Omega
I = \(\frac{v}{R} = \frac{2}{2}\)
= 1A
Source: Myschool Past Questions Archive (Record #35733)
Physics
WAEC / WASSCE 2013
Mechanics and Properties of Matter
Diagram
Solution
Four co-planar forces of magnitudes 10N, 17N, 6N and 20N act at point O as shown in the above diagram. Determine the magnitude of the resultant force
Attached Figure / Diagram
A
53.N
B
21.0N
C
7.0N
D
5.0N
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Vertical resultant = 10 - 6 = 4N
Horizontal resultant = 20 - 17 = 3N
R = \(\sqrt{3^2 + 4^2}\)
= 5N
Source: Myschool Past Questions Archive (Record #35730)
Physics
WAEC / WASSCE 2013
Mechanics and Properties of Matter
Diagram
The outlet of a bicycle pump is used to inflate a football as illustrated in the diagram above. Why does the pressure of the air inside the pump increases as the pump handle is slowly pushed downward at constant temperature?
Attached Figure / Diagram
A
momentum of the air molecules are increased
B
volume occupied by the molecules are increased
C
frequency of collision of the air molecules with the walls of the pump is increased
D
more air molecules are collidin with one another in the system
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 #35731)
Physics
WAEC / WASSCE 2013
Waves and Optics
Diagram
The diagram above illustrates a waveform. Which of the point on the waveform are in phase?
Attached Figure / Diagram
A
P and R
B
R and T
C
P and T
D
Q 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 #35732)
Physics
WAEC / WASSCE 2013
Heat Energy & Temperature
Solution
You are provided with a constantan wire, a2 \(\Omega\)standard resistor, an accumulator E, an ammeter A, a key K, and other necessary apparatus.
Measure and record the emf of the accumulator provided
Connect a circuit as shown in the diagram above.
Close the key, read and record the ammeter reading \(l_o\) when the crocodile clip is not in contact with the Constantan wire.
Open the key with the clip making contact with the wire, when d=90cm, close the key. Read and record the ammeter reading l.
Evaluate d\(^{_1}\)
Repeat the procedure for four other values of d=80, 70, 60, and 50 cm
In each case, read and record the ammeter reading and evaluatre d\(^{_1}\).
Tabulate your readings.
Plot a graph with I on the vertical axis and d\(^{_1}\) on the horizontal aXIS.
Determine the slope, S of the graph and its intercept, c, on the vertical axis.
Evaluate k = \(\frac{c}{s}\)
Using your graph, determine the current I when d=55cm.
State two precautions taken to obtain accurate results.
(b)i. Explain what is meant by the potential difference between two points in an electric circuit.
ii. State two factors on which the resistance of a wire depends.
A
P and R
B
R and T
C
P and T
D
Q and S
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
d/cm
I/A
d\(^{-1}\)/cm\(^{-1}\)
80.0
0.23
0.0125
70.0
0.25
0.0143
60.0
0.31
0.0167
50.0
0.34
0.0200
40.0
40.0
0.0250
Slope, SI = \(\frac{\bigtriangleup {I}}{\bigtriangleup {d}^{-1}}\) = \(\frac{0.40-0.13}{0.024-0.006}\)
= \(\frac{(0.27)A}{(0.018)cm^{-1}}\)
= 15A/cm\(^{-1}\)
Intercept C on the vertical axis = 0.04A
k = c/s = \(\frac{0.04}{15}\) = 0.00267 = 2.67 x 10\(^{-3}\)
From the graph, when d = 55cm, I = 0.31A
Precautions; I
- ensured that the keys was open after each reading so that the battery did not run down quickly.
- ensured there was zero error when taking the ammeter reading.
- Key was removed when readings were not being taken
- ensured terminals are clean/tight
- Noted and corrected/avoided zero error on ammeter metre rule
(b)i. The potential difference between two points in an electric circuit is the work done (in joules) when one coulomb of electric charge moves from one point to the other
ii. - Nature of wire/resistivity
- Length of wire
- Cross-sectional area of wire/thickness of wire
- Temperature
Source: Official Exam / Past Question Archive
Physics
WAEC / WASSCE 2013
Mechanics and Properties of Matter
Solution
A projectile is released with a speed u at an angle \(\theta\) to the horizontal. With the aid of a diagram, show that the time of flight is equal to \(\frac{2uSin\theta}{g}\), where g is the acceleration of free fall.
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
SEE DIAGRAM ABOVE
Vertical component velocity Vy = Usin\(\theta\)
Time to reach maximium height = t
V = USin\(\theta\) — gt
But V at maximum height = O
.-. O = Usin\(\theta\) - gt
Hence, t = \(\frac{U sin \theta}{g}\)
But time for a projectile to reach maximum he is equal to time to return to projection plane
Time of flight T = \(\frac{2Usin \theta}{g}\)
Source: Myschool Past Questions Archive (Record #53123)
Physics
WAEC / WASSCE 2013
Mechanics and Properties of Matter
Solution
The horizontal component of the initial speed of a particle projected at 30^\circ to the horizontal is 50 ms\(^{-1}\). If the acceleration cf free fall due to gravity is 10ms\(^{-2}\), determine its: (a) initial speed; (b) speed at maximum height reached.
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
(a) If initial velocity = U Then horizontal component
\(U_x = Ucos\theta\)
Ucos\(\theta\) = 50
U = \(\frac{50}{cos \theta} = \frac{50}{cos 30^o}\) = 57.7m/s
(b) But at maximum height V = O
V\(_y\) = O
V\(_x\) = U\(_x\) = 50m/s
Source: Myschool Past Questions Archive (Record #53124)
Physics
WAEC / WASSCE 2013
Mechanics and Properties of Matter
Solution
A mass of 11.0 kg is suspended from a rigid support by an aluminum wire of length 2.0 m, diameter 2.0 mm and Young's modulus 7.0 x 10\(^{11}\) Nm\(^{-2}\). Determine the extension produced. [g = 10 ms\(^{-2}\); \(\pi\) = 3.142]
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
E = \(\frac{Fl}{Ae}\)
E = 7.0 x 10\(^{-11}\) Nm\(^{-2}\);
F = mass x acceleration due to gravity
= 11 x 10 = 110N
l = 2.0m
A = \(\pi\) r\(^2\)
d = 2.0 mm \(\implies\) r = 1.0 mm
A = 3.142 x \((\frac{10}{1000})^2\)
e = \(\frac{Fl}{EA} = \frac{110 \times 20}{7.0 \times 10^{11} \times 3.142(\frac{10}{1000})^2}\)
= 1.0 x 10\(^{-5}\)m
Source: Myschool Past Questions Archive (Record #53126)
Physics
WAEC / WASSCE 2013
Waves and Optics
Solution
(a) What is a polarizer?
(b) With the aid of a diagram, explain how a polarizer can be used to polarize a beam of unpolarized light.
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
Polarizer is an optical device which allows vibrations of light to pass throagh in only one phone perpendicular to the direalioniof propagation
(b)
Unpolarized Polarizer Polarized l light ight Unpolarized light vibrates in all directions and a polarized is used to block all vibrations, and transmits only light vibrations polarized in one plane perpendicular to the direction of propagation.
Source: Myschool Past Questions Archive (Record #53128)
Physics
WAEC / WASSCE 2013
Heat Energy & Temperature
Solution
Name one use of 'LASER' in each of the following areas:
(a) communication;
(b) medicine;
(c) security
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
Uses of LASER:
(a) Communication for holograms production, CD, VCD, DVD playing, data transfer, fiber-optic cable and space communication.
(b) Medicine - for welding retina of the eye, cervical cancer surgery, boring holes in the skull, cauterizing blood vessels, testing biological samples, monitoring glucose level in diabetic patient, dentistry, etc.
(c) Security - for guidance system of missiles, aircrafts and satellites, generation of isotopes for nuclear weapons or reactors or enriched uranium production.
Source: Myschool Past Questions Archive (Record #53129)