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Physics
UTME / JAMB 2006
Work, Energy, Power & Simple Machines
Solution
I. Work done by load is always less than the work done by effort.
II. All machines are made of levers, pulleys, screws and gear wheels.
III. A fishing rod is a machine.
Iv. Effort is always larger than load.
which of statements above about machines are true?
A
II and III
B
III and IV
C
I and III
D
II and iv
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
I. Work done by load is always less than the work done by effort. This statement is generally true for all machines because some of the work done by the effort is used to overcome friction and other resistive forces in the machine.
III. A fishing rod is a machine. This statement is true as a fishing rod is a simple machine that uses a lever to catch fish.
Source: Myschool Past Questions Archive (Record #13885)
Physics
UTME / JAMB 2006
Atomic, Quantum, Nuclear Physics & Electronics
Solution
The energy associated with the emitted photon when a mercury atom changes from one state to another is 3.3 ev. calculate the frequency of the photon.
[e = 1.6 x 10-19c; h = 6.6 x 10-34js]
A
1.3 x 10-15 Hz
B
3.1 x 1052 Hz
C
3.2 x 10-53 Hz
D
8.0 x 1014 Hz
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
E = hf
f = (E)/h
∴ f = (3.3 x 1.6 x 10-19)/6.6 x 10-34
= 0.8 x 1015 = 8.0 x 1014 Hz
Source: Myschool Past Questions Archive (Record #13887)
Physics
UTME / JAMB 2006
Atomic, Quantum, Nuclear Physics & Electronics
Solution
The process through which free electrons leave the surface of hot metal is known as?
A
photon emission
B
photo emission
C
thermionic emission
D
electron emission
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
This process occurs when the thermal energy of the metal is sufficient to allow electrons to overcome the work function and escape from the surface.
Source: Myschool Past Questions Archive (Record #13888)
Physics
UTME / JAMB 2006
Atomic, Quantum, Nuclear Physics & Electronics
Solution
The battery connection that permits current to flow across a p-n junction is called?
A
reverse baised
B
forward baised
C
amplification.
D
rectification
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Forward Biased
Definition: A battery connection that allows current to flow across a p-n junction. Positive terminal to the p-type semiconductor and negative terminal to the n-type.Reduces the potential barrier, allowing charge carriers (holes and electrons) to move toward the junction and enabling current flow.
Source: Myschool Past Questions Archive (Record #13889)
Physics
UTME / JAMB 2006
Atomic, Quantum, Nuclear Physics & Electronics
Solution
One of the properties of gamma rays is that they are?
A
neutral
B
massive
C
positively charged
D
negatively charged
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Neutral: Gamma rays are a form of electromagnetic radiation and carry no electric charge.
Massive: Gamma rays are mass less photons.
Positively/Negatively Charged: They do not have any charge, distinguishing them from particles like protons (positive) or electrons (negative)
Source: Myschool Past Questions Archive (Record #13890)
Physics
UTME / JAMB 2006
Gas Laws & Heat Transfer
Solution
The theory of electronic conduction in solids, which satisfactorily explains the properties of conductors, insulators and semi-conductor,is?
A
string theory
B
particle theory
C
group theory
D
band theory
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Band Theory: This theory describes the energy levels of electrons in solids as bands. It explains how the bands (valence and conduction bands) determine the electrical properties of materials.
Source: Myschool Past Questions Archive (Record #13892)
Physics
UTME / JAMB 2006
Atomic, Quantum, Nuclear Physics & Electronics
Solution
I. The number of neutrons released exceeds the number that caused the fission.
II. There is loss of mass.
III. Energy is produced.
IV. Smaller nuclei merge to form larger nuclei
which of the statement above are correct about nuclear fission?
A
II,III and IV only
B
I, II and IV only
C
I,II and III only
D
I, III and IV only
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
I. The number of neutrons released exceeds the number that caused the fission.
fission releases additional neutrons that can initiate further reactions.
II. There is loss of mass.
mass is converted into energy according to Einstein’s equation E = mc\(^2\)
III. Energy is produced.
significant energy is released during the fission process.
Source: Myschool Past Questions Archive (Record #13893)
Physics
UTME / JAMB 2006
Atomic, Quantum, Nuclear Physics & Electronics
Solution
A certain manufacturer wishes to make an n-type semiconductor. Which materials would he select for doping?
A
boron and antimony
B
boron and sodium
C
aluminium and indium
D
arsenic and antimony
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
An n- type semi conductor is usually formed by dopping the semi conductor(a four valent element)with a five valent
element.(arsenic and antimony)
Source: Myschool Past Questions Archive (Record #13895)
Physics
UTME / JAMB 2006
Atomic, Quantum, Nuclear Physics & Electronics
Solution
A p-n junction diode is used as?
A
a rectifier in a d.c circuit
B
an amplifier in d.c circuit
C
an anplifier in an a.c circuit
D
a rectifier in an a.c circuit
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Rectification: A diode allows current to flow in one direction, making it suitable for converting alternating current (AC) to direct current (DC). Diodes are commonly used in power supplies to rectify AC voltage.
Source: Myschool Past Questions Archive (Record #13896)
Physics
UTME / JAMB 2006
Reflection, Refraction & Dispersion of Light
Solution
An object placed 10cm from a concave mirror of focal length 5cm would have its image
A
at the centre of convature
B
at the radius of curvature
C
at infinity
D
10 cm from the focus
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Center of Curvature: For a concave mirror, the center of curvature (C) is located at twice the focal length. With a focal length of 5 cm, C is at 10 cm.
Object Placement: The object is placed at 10 cm, which is exactly at the center of curvature.
Image Formation: When an object is at the center of curvature, the image is also formed at that same point, resulting in a real and inverted image
(When the object is located at the center of curvature, the image will also be located at the center of curvature.)(For concave mirror)
Source: Myschool Past Questions Archive (Record #13897)
Physics
UTME / JAMB 2006
Reflection, Refraction & Dispersion of Light
Solution
A submarine is observed to rise from a real depth of 80 m to 60 m in water. Calculate the change in apparent depth.
[Refraction index of water \(\frac{4}{3}\)]
A
45 m
B
80 m
C
15 m
D
60 m
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Refraction index (n) = \(\frac{\text{Real depth}}{\text{App. depth}}\)
For 80 m Real depth: \(\frac{4}{3}\) = \(\frac{80}{\text{App.depth}}\)
App. dept = \(\frac{80 \times 3}{4}\) = 60 m
For 60 m real depth; \(\frac{4}{3}\) = \(\frac{60}{\text{App.depth}}\)
App. depth = \(\frac{60 \times 3}{4}\) = 45 m
∴change in App. depth = 60 - 45 = 15 m
Source: Myschool Past Questions Archive (Record #13898)
Physics
UTME / JAMB 2006
Current Electricity & Electric Circuits
Solution
Non-luminous object can be seen because they
A
reflect light
B
are near
C
are polished
D
emit light
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Non-luminous objects do not emit light; instead, they are visible because they reflect light from luminous sources (such as the sun or artificial lights). This reflection allows us to see them.
Source: Myschool Past Questions Archive (Record #13899)
Physics
UTME / JAMB 2006
Waves, Sound & Vibrations
Solution
The wavelength of the first overtone of a note in a closed pipe of length 33 cm is?
A
33 cm
B
44 cm
C
22 cm
D
17 cm
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
In a closed tube, the fundamental note occurs when the length of the tube l = \(\frac{\lambda}{4}\),
the first overtone occurs when the length of the tube l = \(\frac{3 \lambda}{4}\)
\lambda = \(\frac{4l}{3}\) = \(\frac{ 4 \times 33}{3}\) = 44 cm
Source: Myschool Past Questions Archive (Record #13900)
Physics
UTME / JAMB 2006
Lenses & Optical Instruments
Solution
A person can focus objects when they lie beyond 75 cm from his eyes. The focal length of the lens required to reduce his least distance of distinct vision to 25 cm is?
A
37.50 cm
B
75.00 cm
C
18.75
D
25.00 cm
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
The least distance of distinct vision required = 25 cm.
∴ for the person to see an object clearly at 25 cm from the eye, the image must be formed at 75 cm on the same side of lens, at his near point.
∴ U = 25 cm; V = -75 cm (image should be virtual)
thus \(\frac{1}{f}\) = \(\frac{1}{v}\) +\(\frac{1}{u}\)
= \(\frac{1}{75}\) + \(\frac{1}{25}\)
= \(\frac{-1 + 3}{75}\) = \(\frac{2}{75}\)
∴f = \(\frac{75}{2}\) = 37.50cm.
Source: Myschool Past Questions Archive (Record #13901)
Physics
UTME / JAMB 2006
Current Electricity & Electric Circuits
Solution
A conductor has a diameter of 1.00 mm and length 2.00m. if the resistance of the material is 0.1Ω, its resistivity is?
A
2.55 x 105 Ωm
B
2.55 x 102 Ωm
C
3.93 x 10-6 Ωm
D
3.93 x 10-8 Ωm
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
R = \(\frac{ \rho \times L}{A}\), \(\rho\) = \(\frac{R . A}{L}\)
d = 1mm = 0.001m, r = 0.0005m
A = \(\pi\)r\(^2\) = \(\frac{22}{7}\) x (0.0005)\(^2\) = 7.857 x 10\(^{-7}\)
\(\rho\) = \(\frac{R . A}{L}\) = \(\frac{0.1 \times 7.857 \times 10^{-7}}{2}\)
\(\rho\) = 3.928 x 10\(^{-8}\)\(\Omega\)m
Source: Myschool Past Questions Archive (Record #14000)