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Physics
UTME / JAMB 2018
Waves, Sound & Vibrations
Solution
A man hears his echo from a nearby hill 2s after he shouted. If the frequency of his voice is 260Hz and the wavelength is 1.29m, how far away is the hill?
A
330.0m
B
335.4m
C
660.0m
D
670.8m
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Recall V = F \times \(\lambda\)
= 260 \times 1.29
= 335.4ms\(^{-1}\)
Echo time = \(\frac{2}{2}\) = 1 sec
Distance = v x t = 335.4 x 1
= 335.4m
Source: Myschool Past Questions Archive (Record #47724)
Physics
UTME / JAMB 2018
Current Electricity & Electric Circuits
Solution
Which of the following is an essential physical property of the wires uses for making fuses ?
A
Low density
B
Hypothermal conductivity
C
Low electrical resistivity
D
Low melting point
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Fuse wires have a low melting point so that if a huge amount of current is passed through it to any appliance than that wire would melt and stop the appliance from getting damaged by not letting the current pass any further.
Source: Myschool Past Questions Archive (Record #47725)
Physics
UTME / JAMB 2018
Current Electricity & Electric Circuits
Solution
A 40W instrument has a resistance 90 Ohms. On what voltage should it be operated normally
A
60V
B
150V
C
225V
D
360V
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
P = 40W
R = 90W
V = ?
P = \(\frac{V^2}{R}\)
V\(^2\) = PR = 40 x 90
V\(^2\) = 3000
V = \sqrt3600
V = 60N
Source: Myschool Past Questions Archive (Record #47726)
Physics
UTME / JAMB 2018
Elasticity, Density, Pressure & Fluids
Solution
Mercury which is spilled onto a glass surface forms ball-like shapes because____.
A
Mercury is a metal
B
The cohesive force between its molecules is greater than the adhesive force between mercury and glass molecules
C
The cohesive force between its molecules is less than the adhesive force between mercury and glass molecules
D
The viscosity of mercury is height
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
In case of small drops of mercury, the gravitational potential energy is negligible in comparison to the potential energy due to surface tension.Consequently, to keep the drop in equilibrium, the mercury drop’s surface tends to contract so that its surface area will be the least for a sphere and the drops will be spherical.
But in the case of bigger drops of mercury, the potential energy due to gravity is predominant over the potential energy due to surface tension.Consequently, to keep equilibrium , the mercury drop tends to assume minimum potential energy as possible, the drop becomes oval in shape and lower center of gravity.
Source: Myschool Past Questions Archive (Record #47727)
Physics
UTME / JAMB 2018
Current Electricity & Electric Circuits
Solution
Water of mass 150g at 60\(^o\)c is added to 300g of water at 20\(^o\)c and the mixture is well stirred. Calculate the temperature of the mixture.(neglect heat losses to the surroundings)
A
33\(^o\)c
B
40\(^o\)c
C
25\(^o\)c
D
10\(^o\)c
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Water 1 => M = 150g = 0.15kg,
\theta\(_2\) = 60\(^o\)C; \theta\(_1\) = \theta
Q\(_1\) = MC (\theta\(_2\) – \theta\(_1\))
= 0.15C (60 - \theta)
Water 2 => M = 300g = 0.3kg
\theta1 = 20\(^o\)C, \theta\(_2\) = \theta
Q2 = MC (\theta\(_2\) – \theta\(_1\))
= 0.3C (\theta – 20)
Combining Q1 and Q2
0.15C (60 - \theta) = 0.3C (\theta – 20)
9 – 0.15\theta = 0.3\theta – 6
0.3\theta + 0.15\theta = 9 + 6
0.45 \theta = 15
\theta = 33.33\(^o\)C
Source: Myschool Past Questions Archive (Record #47728)
Physics
UTME / JAMB 2018
Current Electricity & Electric Circuits
Solution
Which of the following phenomena is the practical evidence for the existence of the continual motion of molecules.
A
Transitional Motion
B
Rotational Motion
C
Brownian Motion
D
Oscillatory Motion
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Brownian motion, also called Brownian movement, any of various physical phenomena in which some quantity is constantly undergoing small, random fluctuations.
If a number of particles subject to Brownian motion are present in a given medium and there is no preferred direction for the random oscillations, then over a period of time the particles will tend to be spread evenly throughout the medium.
Source: Myschool Past Questions Archive (Record #47729)
Physics
UTME / JAMB 2018
Current Electricity & Electric Circuits
Diagram
Solution
A force of 5N acts at a point Y on a rod XYZ as shown in this diagram. If XYZ is 2m, what is the moment of the force about point X?
Attached Figure / Diagram
A
0Nm
B
3Nm
C
7Nm
D
10Nm
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
using the formular :
Moment = Force \times Distance
5 X 0 = 0Nm
Source: Myschool Past Questions Archive (Record #47697)
Physics
UTME / JAMB 2018
Reflection, Refraction & Dispersion of Light
Solution
A beam of light is incident from air to water at an angle of 30\(^o\). Find the angle of refraction if the refractive index of water is 4/3
A
15\(^o\)
B
18\(^o\)
C
22\(^o\)
D
24\(^o\)
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
X = \(\frac{4}{3}\) r = ?
Shell’s law:. = \(\frac{Sin i^0}{ Sin r^0}\)
= \(\frac{Sin 30^0}{Sin r^0}\)
Sin\(r^0\) = \(\frac{3 Sin 30^0}{4}\)
Sin \(r^0\) = 0.375
R \(^o\) = Sin-1 (0.375)
R \(^o\) = 22.02 \(^o\)
R \(^o\) = 22 \(^o\)
Source: Myschool Past Questions Archive (Record #47704)
Physics
UTME / JAMB 2018
Current Electricity & Electric Circuits
Solution
An electric heating coil rated at 1Kw is used to heat 2kg of water for 2 minutes. The initial water temperature is 30\(^o\)C. Taking the specific heat of the water as 4,000Jkg \(^{-1}\) and neglecting that of the container, the final water temperature is
A
15.0\(^o\)C
B
45.0\(^o\)C
C
52.5\(^o\)C
D
60.0\(^o\)C
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Power = 1kw=100W
Time = 2mins = 2 \times 60 = 120secs
Energy = power \times time
1000 \times 120 = 120,000J
Energy = mc(\theta\(_2\) – \theta\(_1\))
120,000 = 2 \times 4000(\theta\(_2\) – \theta\(_1\))
\theta2 = 30 + 15 = 45 \(^o\) C
Source: Myschool Past Questions Archive (Record #47717)
Physics
UTME / JAMB 2018
Current Electricity & Electric Circuits
Solution
What flows to the positively charged conductor by connecting it to the earth?
A
Electrons
B
Ion
C
Neutron
D
Proton
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Earth acts as a ground of zero potential. So when a positively charged conductor is connected to the earth, positive charge flows into the earth and as a result, electrons flow from earth to the conductor.
Source: Myschool Past Questions Archive (Record #47718)
Physics
UTME / JAMB 2018
Atomic, Quantum, Nuclear Physics & Electronics
Solution
The process by which protons are converted into helium atoms with a tremendous release of energy is called?
A
thermionic emission
B
nuclear fission
C
thermonuclear fusion
D
photoelectric emission
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Thermonuclear fusion is the process that occurs when two atoms combine to make a larger atom, creating a whole lot of energy. Fusion already happens naturally in stars — including the sun — when intense pressure and heat fuse hydrogen atoms together, generating helium and energy.
Thermionic emission: thermally induced flow of charge
Nuclear fission: nuclear reaction or a radioactive decay process
Photoelectric emission: emission of electrons or other free carriers when light shines on a material
Source: Myschool Past Questions Archive (Record #47730)
Physics
UTME / JAMB 2018
Atomic, Quantum, Nuclear Physics & Electronics
Solution
Which of the following is not a product of nuclear fusion?
A
X – ray
B
Y –ray
C
α – particles
D
neutron
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Y – Ray is a penetrating electro-magnetic radiation.
\alpha – particle is produced in the process of alpha decay.
Neutron is a sub-atomic particle.
Source: Myschool Past Questions Archive (Record #47731)
Physics
UTME / JAMB 2018
Gas Laws & Heat Transfer
Solution
A room is heated by means of a charcoal fire, an occupants of the room standing away from the fire is warmed mainly by
A
Convection
B
Radiation
C
Conduction
D
Reflection
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Radiation refers to the transmission of energy as electromagnetic radiation from its emission at a heated surface to its absorption on another surface, a process requiring no medium to convey the energy.
Conduction is the transferring of heat by direct contact.
Convection is transferring heat through the motions of fluids (gases and liquids).
Source: Myschool Past Questions Archive (Record #47732)
Physics
UTME / JAMB 2018
Gas Laws & Heat Transfer
Solution
Which of the following phenomena cannot be explained by the molecular theory of matter?
A
Conduction
B
Convection
C
Expansion
D
Radiation
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Conduction: the flow of internal energy from a region of higher temperature to lower temperature
Convection: heat transfer due to bulk movement of molecules within fluids
Expansion: the action of becoming larger or more extensive
Source: Myschool Past Questions Archive (Record #47734)
Physics
UTME / JAMB 2018
Elasticity, Density, Pressure & Fluids
Solution
The friction which exist between two layers of liquid in relative motion is called.
A
Capillary
B
Surface
C
Viscosity
D
Cohesion
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Viscosity, resistance of a fluid (liquid or gas) to a change in shape, or movement of neighboring portions relative to one another. Viscosity denotes opposition to flow. The reciprocal of the viscosity is called the fluidity, a measure of the ease of flow. Molasses, for example, has a greater viscosity than water. Because part of a fluid that is forced to move carries along to some extent adjacent parts, viscosity may be thought of as internal friction between the molecules; such friction opposes the development of velocity differences within a fluid. Viscosity is a major factor in determining the forces that must be overcome when fluids are used in lubrication and transported in pipelines. It controls the liquid flow in such processes as spraying, injection molding, and surface coating.
Source: Myschool Past Questions Archive (Record #47735)