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Physics
UTME / JAMB 1994
Waves, Sound & Vibrations
Solution
The fundamental frequency of vibration of a sonometer wire may be halved by
A
doubling the length of the wire
B
doubling the mass of the wire
C
reducing the tension by half
D
reducing the absolute temperature by half
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
F \(\alpha\) \(\frac{1}{L}\)
Source: Myschool Past Questions Archive (Record #27921)
Physics
UTME / JAMB 1994
Waves, Sound & Vibrations
Solution
A pipe of length 45cm is closed at the end. Calculate the fundamental frequency of the sound wave generated in the pipe if the velocity of sound in air is 360ms-1 [Neglect end correction]
A
5.5Hz
B
148.5Hz
C
200.0Hz
D
550.0Hz
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
\(\lambda\) = 4L = 4 X 45 = 180cm
F = \(\frac {V}{\lambda}\)
= \(\frac {360}{180 \times 10^{-2}}\)
= 200Hz
Source: Myschool Past Questions Archive (Record #27922)
Physics
UTME / JAMB 1994
Waves, Sound & Vibrations
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
Reflection, Refraction & Dispersion of Light
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
Reflection, Refraction & Dispersion of Light
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
Current Electricity & Electric Circuits
In the curve above, PQRST represents an alternating voltage of frequency 50Hz. The time interval between points P and R on the graph is
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: Official Exam / Past Question Archive
Physics
UTME / JAMB 1994
Lenses & Optical Instruments
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
Reflection, Refraction & Dispersion of Light
Solution
An object is placed directly below a glass block of thickness 3.0cm. Calculate the lateral displacement of the object if the refractive index of the glass is 1.5.
A
1.0cm
B
1.5cm
C
2.0cm
D
2.5cm
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
1.5 = \(\frac{3}{\text {apparent displacement}}\)
Apparent depth = 2cm
displacement = 3 - 2
= 1cm
Source: Myschool Past Questions Archive (Record #27927)
Physics
UTME / JAMB 1994
Lenses & Optical Instruments
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
Current Electricity & Electric Circuits
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
Current Electricity & Electric Circuits
Which of the following has the lowest internal resistance when new?
A
leclanche cell
B
Daniel cell
C
Accumulator
D
Torch battery
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 #27930)
Physics
UTME / JAMB 1994
Current Electricity & Electric Circuits
Solution
When a biro pen rubbed on a dry silk cloth is moved very close to a piece of paper on a dry table, the pen is found to pick up the paper. This is because
A
both the pen and the cloth are magnetized
B
the pen is magnetized but the cloth is not
C
the pen is charged while the cloth is magnetized
D
both the pen and the cloth are charged
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
They are all charged either positively or negatively
Source: Myschool Past Questions Archive (Record #27931)
Physics
UTME / JAMB 1994
Electrostatics & Capacitors
Solution
A capacitor 8\(\mu\)F is charged to a potential difference of 100V. The energy stored by the capacitor is
A
1.0 x 104J
B
8.0 x 10J
C
1.25 x 10J
D
4.0 x 10-2J
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Energy = \(\frac{1}{2}\)CV2
= \(\frac{1}{2}\) x 8 x 10-6 x (100)2
= 4 x 10-2J
Source: Myschool Past Questions Archive (Record #27932)
Physics
UTME / JAMB 1994
Electrostatics & Capacitors
Solution
Two capacitors R1 = 4\(\Omega\) and R2 = 5\(\Omega\) are connected in parallel across a potential difference. If P1 and P2 represent power dissipated in R 1 and R2 respectively, then the ratio P1 : P2 is
A
4 : 5
B
5 : 4
C
16 : 25
D
25 : 16
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
P1 = \(\frac{V^2_1}{R_1}\) and P2 = \(\frac{V^2_2}{R_2}\)
P1R1 = P2R2
4P1 = 5P2
\(\frac{p_1}{p_2}\) = \(\frac{5}{4}\)
= 5 : 4
Source: Myschool Past Questions Archive (Record #27933)
Physics
UTME / JAMB 1994
Magnetism, Electromagnetism & AC Circuits
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)