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Physics
UTME / JAMB 1994
Waves and Optics
Solution
The note produced by a stretched string has a fundamental frequency of 400Hz. If the length of the string is doubled while the tension in the string is increased by a factor of 4, the frequency is
A
200Hz
B
400Hz
C
800Hz
D
1600Hz
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
F = \(\frac {1}{2L}\) \(\sqrt\frac{T}{m}\)
T2 = 4T1 ; L2 = 2L1
\(\frac{2F_1L_1}{2F_2L_2}\) = \(\sqrt\frac{T_1}{T_2}\)
\(\frac{400\times L_1}{F \times L_1}\) = \(\sqrt\frac{T_1}{4T_1}\)
F = 400Hz
Source: Myschool Past Questions Archive (Record #27923)
Physics
UTME / JAMB 1994
Waves and Optics
To produce a parallel beam of light from a concave mirror, the distance at a which the lamp should be placed from the mirror is equal to
A
the focal length
B
two times the focal length
C
the distance of the image
D
two times the radius of curvature
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 #27924)
Physics
UTME / JAMB 1994
Waves and Optics
Solution
Light of frequency 6.0 x 10\(^{14}\) Hz travelling in air is transmitted through glass or refractive index 1.5. Calculate the frequency of the light in the glass
A
4.0 x 1014Hz
B
6.0 x 1014Hz
C
7.5 x 1014Hz
D
9.0 x 1014Hz
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
The frequency of light is constant across different media, so the frequency remains 6.0 x 10\(^{14}\) Hz
Source: Myschool Past Questions Archive (Record #27925)
Physics
UTME / JAMB 1994
Waves and Optics
Solution
An object is placed in front of a converging lens of a focal length 20cm. The image is virtual and has a magnification of 2. What is the distance of the object from the lens?
A
5cm
B
10cm
C
30cm
D
40cm
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
V = -2u
F = \(\frac{uv}{u + v}\)
20 = \(\frac{uv - 2u}{u - 2u}\)
u = 10cm
Source: Myschool Past Questions Archive (Record #27926)
Physics
UTME / JAMB 1994
Waves and Optics
Solution
In a projection lantern of focal length f, the object distance u, is such that
A
u > 2f > f
B
u < f < 2f
C
u = f < 2f
D
f < u < 2f
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
the object is always located between the optical center of the lens and twice the focal length. or the object is placed at a point between F and 2F to produce a real, enlarged, upright image of the inverted object.
Source: Myschool Past Questions Archive (Record #27928)
Physics
UTME / JAMB 1994
Waves and Optics
Solution
If the Nigeria flag (green, white, green) is viewed in pure yellow light, which of the following set of colours would be observed on the flag?
A
Green, yellow, green
B
Red, yellow, red
C
black, yellow, black
D
Green, white, green
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Yellow light is a mixture of red and green light, so yellow will reflect both red and green light. This means that a yellow object will appear red under red light and green under green light. So, the green stripes on the flag will appear green under yellow light, as green is part of yellow. The white stripe will look yellow because it reflects all colors.
Thus, when viewed under pure yellow light, the Nigerian flag will show green, yellow, and green.
Source: Myschool Past Questions Archive (Record #27929)
Physics
UTME / JAMB 1994
Waves and Optics
Solution
Which of the following are found in the receiver but not in the microphone of a telephone handset? i. Diaphragm. ii. soft iron pole pieces. iii. permanent magnet. iv.carbon blocks
A
i and ii
B
i and iv
C
ii and iii
D
iii and iv
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Diaphragm: Found in both the receiver and the microphone; it vibrates to convert sound waves into electrical signals in the microphone and back into sound in the receiver.
Soft iron pole pieces: Used in microphones to direct the magnetic field, but not found in the receiver.
Permanent magnet: Present in the receiver, where it converts electrical signals back into sound, but not found in carbon microphones.
Carbon blocks: These are used in carbon microphones to convert sound into electrical signals; they are not found in the receiver.
In a telephone handset, the following components are found in the receiver but not in the microphone:
ii. Soft iron pole pieces
iii. Permanent magnet
Source: Myschool Past Questions Archive (Record #27934)
Physics
UTME / JAMB 1994
Waves and Optics
Diagram
In the curve above, PQRST represents an alternating voltage of frequency 50Hz. The time interval between points P and R on the graph is
Attached Figure / Diagram
A
25s
B
1/50s
C
1/100s
D
1/200s
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 #41726)
Physics
WAEC / WASSCE 1994
Waves and Optics
Solution
(a) Describe an experiment to show how the frequency of the note emitted by a vibrating string depends on the tension in the string
(b) Draw diagrams showing a vibrating string fixed at both ends emitting (i) fundamental frequency (ii) second overtone indicate the nodes and antinodes on the diagrams
(c) With the aid of a ray diagram show how a virtual image of an object is formed by a (i) concave mirror (ii) converging lens
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
(a)
The experiment is set up as shown in the diagram. The wooden box effective length, I of the string remains constant throughout the experiment. Also the string used is of uniform thickness and must not be changed to ensure that the mass per unit length is constant throughout the experiment. The length of string is tied to the stake at one free end while a known mass is added to the other end. This creates a tension in the string which is equal to the weight of the attached mass. A tuning fork of known frequency is set vibrating and the string is tuned in unison with the fork. The frequency of the fork is recorded. The procedure is repeated by increasing the masses and using different tuning forks four more times. The corresponding tension (weights) and frequency are recorded in a table. Experiment to show that frequency is proportional to the square root of the tension, T. Mathematically, the graph of F against \(\sqrt{T}\) is a straight line through the origin.
(b)(i)
(ii) Second overtone
(c)(i)
(ii)
Source: Myschool Past Questions Archive (Record #54793)
Physics
WAEC / WASSCE 1993
Waves and Optics
Which of the following are correct of plane- polarized light? I. Plane polarization of light is the formation of hydrogen bubbles on the particles of light. II. Plane polarization of light is the splitting of light into its spectral components III. Plane-polarized light vibrates in one plane only. IV. Polarization is characteristic of transverse waves.
A
I and II only
B
I and IV only
C
II and III only
D
III and IV only
E
I 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 #25007)
Physics
WAEC / WASSCE 1993
Waves and Optics
Longitudinal waves cannot be
A
diffracted
B
retracted
C
polarized
D
reflected
E
superposed
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 #25008)
Physics
WAEC / WASSCE 1993
Waves and Optics
The images formed by a diverging lens are always
A
diminished, virtual and inverted
B
diminished inverted and real
C
diminished, virtual and erect
D
magnified, virtual and erect
E
magnified, real and inverted.
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 #25010)
Physics
WAEC / WASSCE 1993
Waves and Optics
A lens of focal length 15.0 cm forms an upright image four times the size of an object. Calculate the distance of the image from the lens
A
11.3cm
B
18.8 cm
C
37.5cm
D
45.0cm
E
75.0cm
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 #25012)
Physics
WAEC / WASSCE 1993
Waves and Optics
Solution
An object is placed between two mirrors which are inclined at an angle of 120^\circ and facing each other. Determine the number of images observed in the two mirrors
A
1
B
2
C
3
D
4
E
5
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Number of images = (360 / 120) - 1
= 3 - 1 = 2
number of images formed = 2
Source: Myschool Past Questions Archive (Record #25013)
Physics
WAEC / WASSCE 1993
Waves and Optics
Solution
In a ripple tank experiment, a vibrating plate is used to generate ripples in the water. If the distance between two successive troughs is 3.5 cm and the wave travels a distance of 31.5 cm in 1.5 s, calculate the frequency of the vibrator
A
3.0Hz
B
6.0Hz
C
12.0Hz
D
27.0Hz
E
73.5Hz
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
λ = 3.5cm V =D/T = 31.5/1.5 = 21; f = V/ λ = 6.0
Source: Myschool Past Questions Archive (Record #25014)