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Physics
WAEC / WASSCE 1997
Waves and Optics
Solution
At what distance from a simple microscope must an object be placed so that the image 5 times the size of the object is produced 20cm from the lens?
A
2cm
B
3.3cm
C
4cm
D
5cm
E
15cm
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
M=\(\frac {v}{u}\) = 5
v = 5u
But, v = 20,
V = 5u = 20
u = \(\frac{20}{5}\) = 4 cm.
Source: Myschool Past Questions Archive (Record #26299)
Physics
WAEC / WASSCE 1997
Waves and Optics
Whenever light waves are restricted to a specific plane they are said to be
A
Diffracted
B
Refracted
C
Diffused
D
Regularly reflected
E
Plane polarized
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 #26300)
Physics
WAEC / WASSCE 1997
Waves and Optics
Solution
A converging lens of focal length 15cm is used to obtain a real image magnified \(1\frac{1}{2}\) times. Calculate the distance of the image from the lens?
A
37.5cm
B
22.5cm
C
15cm
D
7.5cm
E
3.3cm
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
If u=x, v = \(1\frac{1}{2}x \Rightarrow if u= 2x,v=3x\\
\frac{1}{f}=\frac{1}{u}+\frac{1}{v}; \frac{1}{15}=\frac{1}{2x}+\frac{1}{3x} \times \frac{5}{6}\\
X=\frac{75}{76}=12.5, v=3x=12.5\times 3=37.5\)
Source: Myschool Past Questions Archive (Record #26304)
Physics
WAEC / WASSCE 1997
Waves and Optics
Two identical waves traveling in the same direction are superimposed. What should be the phase difference between the waves for maximum destructive interference to occur?
A
20°
B
45°
C
180°
D
225°
E
270°
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 #26318)
Physics
WAEC / WASSCE 1997
Waves and Optics
Solution
A progressive wave has a wavelength of 50cm. calculate the phase difference between two points at a distance of 20cm apart.
A
10/3π
B
5/2 π
C
4/5 π
D
2/3 π
E
π/3
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Phase difference = \(\frac{2\pi x}{\lambda}\)
= \(\frac{2\pi \times 20}{50}\)
= \(\frac{4}{5} \pi\)
Source: Myschool Past Questions Archive (Record #26322)
Physics
WAEC / WASSCE 1997
Waves and Optics
The invisible part of the spectrum of a white light consists of the following colors
A
Red, orange and yellow only
B
Infra-red, ultraviolet and blue only
C
Indigo and green only
D
Violet and red only
E
Ultra violet and infra-red only
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 #26324)
Physics
WAEC / WASSCE 1997
Waves and Optics
Solution
The magnification produced with a converging lens is 5. If the object is a square wire gauze of side 2cm, calculate the area of the image
A
100\(cm^2\)
B
40\(cm^2\)
C
20\(cm^2\)
D
10\(cm^2\)
E
4\(cm^3\)
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
To calculate the area of the image produced by a converging lens, we can use the magnification formula:
\(\text{Magnification} \, (M) = \frac{\text{Height of image}}{\text{Height of object}}\)
Given that the magnification \( M = 5 \) and the side of the square wire gauze (the object) is \( 2 \, \text{cm} \), we can find the height of the image:
\(\text{Height of image} = M \times \text{Height of object} = 5 \times 2 \, \text{cm} = 10 \, \text{cm}\)
Since the object is a square, the area of the object is:
\(\text{Area of object} = \text{side}^2 = (2 \, \text{cm})^2 = 4 \, \text{cm}^2\)
The area of the image can be calculated using the square of the magnification:
\(\text{Area of image} = M^2 \times \text{Area of object} = 5^2 \times 4 \, \text{cm}^2 = 25 \times 4 \, \text{cm}^2 = 100 \, \text{cm}^2\)
Thus, the area of the image is: 100cm\(^2\)
Source: Myschool Past Questions Archive (Record #26326)
Physics
UTME / JAMB 1997
Waves and Optics
Solution
Under constant tension and constant mass per unit length, the note produced by a plucked string is 500Hz when the length of the string is 0.90m. At what length is the frequency 150Hz?
A
3m
B
4m
C
5m
D
6m
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
F = \(\frac{1}{2L}\)\(\sqrt\frac{T}{m}\)
F1L1 = F2L2
500 x 0.9 = 150 x L2
therefore, L2 = 3m
Source: Myschool Past Questions Archive (Record #27700)
Physics
UTME / JAMB 1997
Waves and Optics
Solution
If the load at the end of a sonometer wire is immersed in a bucket of water, the original fundamental frequency of the wire could be restored by
A
decrease the length of the wire
B
increasing the length of the wire
C
increasing the mass per unit length of the wire
D
changing the temperature of the wire
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
F = \(\frac{1}{2L}\)\(\sqrt{\frac{T}{\mu}}\)
The original fundamental frequency of the wire could be restored by decreasing the length of the wire since frequency is inversely proportional to length.
Source: Myschool Past Questions Archive (Record #27705)
Physics
UTME / JAMB 1997
Waves and Optics
A boy on looking into a mirror observed that his face appeared to have grown bigger. The boy must have been looking at a
A
convex mirror with his face at the focus
B
concave mirror with his face between the focus and the mirror
C
concave mirror with his face at the focus
D
convex mirror with his face between the focus and the mirror
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 #27707)
Physics
UTME / JAMB 1997
Waves and Optics
Solution
The voltage of the domestic electric supply is represented by the equation V = 311 sin314.2t. Determine the frequency of the a.c. supply [\(\pi\) = 3.142]
A
50.0Hz
B
100.0Hz
C
311.0Hz
D
314.2Hz
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
V = 311 sin314.2t compare with,
V = V sin2\(\pi\)Ft
2\(\mu\)F = 314.2
F = \(\frac{314.2}{2 \times\ 3.142}\)
F = 50Hz
Source: Myschool Past Questions Archive (Record #27735)
Physics
UTME / JAMB 1997
Waves and Optics
Diagram
Solution
The diagram above shows two wave forms P and Q at a particular instant in time. the two waves will interface
Attached Figure / Diagram
A
destructively to produce a wave of larger amplitude
B
destructively to produce a wave of smaller amplitude
C
constructively to produce a wave of larger amplitude
D
constructively to produce a wave of smaller amplitude
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
In this case, since both waves P and Q are at positive displacements, they will interfere constructively.
Answer: C. constructively to produce a wave of larger amplitude.
Source: Myschool Past Questions Archive (Record #41738)
Physics
UTME / JAMB 1997
Waves and Optics
Diagram
Solution
When the sun, moon and the earth are as shown in the diagram above an observer standing in X is in
Attached Figure / Diagram
A
Penumbra and sees a partial eclipse
B
Penumbra and sees a total eclipse
C
umbra and sees a partial eclipse
D
umbra and sees a total eclipse
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
An observer in the penumbra experiences a partial eclipse. The penumbra is the region in which only a portion of the light source is obscured by the occluding body. therefore, the observer at point X in the diagram is in penumbra and will experience a partial eclipse.
Source: Myschool Past Questions Archive (Record #41740)
Physics
WAEC / WASSCE 1996
Waves and Optics
A loaded test-tube which floats upright in water is carefully and slightly depressed and then released. Which of the following best describes the sub-sequent motion of the test-tube?
A
Circular
B
Rotational
C
Random
D
Oscillatory
E
Translational
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 #25199)
Physics
WAEC / WASSCE 1996
Waves and Optics
In which of the following media would sound waves travel fastest?
A
Kerosine
B
Alcohol
C
Water
D
lron
E
Air
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 #25222)