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Physics
UTME / JAMB 2018
Current Electricity & Electric Circuits
Solution
The force between the molecules of a liquid in contact with that of a solid is?
A
Adhesive
B
Cohesive
C
Magnetic
D
Repulsive
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
The term Adhesive forces refers to the attractive forces between unlike substance
Source: Myschool Past Questions Archive (Record #47682)
Physics
UTME / JAMB 2018
Current Electricity & Electric Circuits
Solution
A body of mass 100g moving with a velocity of 10ms-1 collides with a wall. If after collision it moves with a velocity of 2.0ms−1 in the opposite direction, calculate the change in momentum.
A
0.8Ns
B
1.2Ns
C
12.0Ns
D
80.0Ns
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Momentum = Mass x Velocity
Change in Momentum = Mass x (change in velocity)
Change in Momentum = Mass x (v - u)
Mass = 100g = 0.1kg
U = 2ms\(^{-1}\)
V = 10ms\(^{-1}\)
Change in momentum = m (v − u)
= 0.1 (2 -(- 10))
= 0.1 (12)
= 1.2Ns
Source: Myschool Past Questions Archive (Record #47683)
Physics
UTME / JAMB 2018
Work, Energy, Power & Simple Machines
Solution
A 20kg mass is to be pulled up a slope inclined at 30^\circ to the horizontal. If efficiency of the plane is 75%. The force required to pull the load up the plane is J [g=10ms\(^{− 2}\)]
A
87N
B
73.5N
C
133.3N
D
533.2N
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
V. R = \(\frac{1}{Sin\theta}\)
m = 20kg
V.R = \(\frac{1}{Sin 30}\)
= 2
Efficiency = 75%
Load = mg
= 20 x 10 = 200N
Efficiency = \(\frac{M.A}{V.R} \times 100\)
75/100 = \(\frac{M.A}{2}\)
M .A = \(\frac{75 \times 2}{100}\)
M. A = 1.5
Since M. A. = \(\frac{\text{Load}}{\text{Force}}\)
Force = \(\frac{200}{1.5}\)
= 133.3N
Source: Myschool Past Questions Archive (Record #47684)
Physics
UTME / JAMB 2018
Newton's Laws, Momentum & Collisions
Solution
The tendency of a body to remain at rest when a force is applied to it is called.
A
Impulse
B
Momentum
C
Inertia
D
Friction
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Inertia, property of a body by virtue of which it opposes any agency that attempts to put it in motion or, if it is moving, to change the magnitude or direction of its velocity. Inertia is a passive property and does not enable a body to do anything except oppose such active agents as forces and torques. A moving body keeps moving not because of its inertia but only because of the absence of a force to slow it down, change its course, or speed it up.
There are two numerical measures of the inertia of a body: its mass, which governs its resistance to the action of a force, and its moment of inertia about a specified axis, which measures its resistance to the action of a torque about the same axis.
Source: Myschool Past Questions Archive (Record #47685)
Physics
UTME / JAMB 2018
Lenses & Optical Instruments
Solution
An object is placed 20cm from a concave mirror of focal length 10cm. The linear magnification of the image produced is?
A
0
B
\(\frac{1}{2}\)
C
1
D
2
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
\(\frac{I}{V}\) = \(\frac{1}{f}\) – \(\frac{1}{u}\)
\(\frac{I}{V}\) = \(\frac{1}{10}\) – \(\frac{1}{20}\)
= \(\frac{1}{20}\) V
V = 20cm.
M = \(\frac{V}{U}\)
= \(\frac{20}{20}\)
= 1
Source: Myschool Past Questions Archive (Record #47686)
Physics
UTME / JAMB 2018
Current Electricity & Electric Circuits
Solution
The energy needed to move a unit positive charge around a complete electric circuit is called the
A
electromotive force
B
electric potential difference
C
electric energy
D
kinetic energy
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
The energy needed to move a unit positive charge around a complete electric circuit is indeed referred to as Electromotive Force (EMF).
Source: Myschool Past Questions Archive (Record #47693)
Physics
UTME / JAMB 2018
Current Electricity & Electric Circuits
Diagram
In the diagram shown, If the south-poles of two magnets stroke a steel bar, the polarities at T and V will respectively be
Attached Figure / Diagram
A
north and south
B
south and south
C
north and north
D
south and north
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 #47431)
Physics
UTME / JAMB 2018
Current Electricity & Electric Circuits
In homes, electrical appliances and lamps are connected in parallel because
A
less current will be used
B
less voltage will be used
C
parallel connection does not heat up the wires
D
series connection uses high voltage
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 #47432)
Physics
UTME / JAMB 2018
Circular Motion, Gravitation & Simple Harmonic Motion
An object moves in a circular path of radius 0.5m with a speed of 1ms\(^{-1}\). What is its angular velocity?
A
8rads\(^{-1}\)
B
4rads\(^{-1}\)
C
1rads\(^{-1}\)
D
2rads\(^{-1}\)
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 #47433)
Physics
UTME / JAMB 2018
Work, Energy, Power & Simple Machines
Solution
What effort will a machine of efficiency 90% apply to a load of 180N if its efforts arm is twice as long as its load arm?
A
100N
B
90N
C
80N
D
120N
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Given:
- Load \( W = 180 \, \text{N} \)
- Efficiency \( \eta = 90\% = 0.9 \)
- Let the effort \( E \) be applied.
The efficiency of a machine is given by the formula:
\(\eta = \frac{\text{Mechanical Advantage (MA)}}{\text{Velocity Ratio (VR)}}\)
Mechanical Advantage (MA) is defined as the ratio of load to effort:
\(\text{MA} = \frac{W}{E}\)
Determine the Velocity Ratio (VR)
Given that the effort arm is twice the load arm, we can express the Velocity Ratio (VR) as:
\(\text{VR} = \frac{\text{Length of effort arm}}{\text{Length of load arm}} = \frac{2L}{L} = 2\)
Substitute into the efficiency formula
Substituting the expressions for MA and VR into the efficiency formula gives:
\(0.9 = \frac{\frac{W}{E}}{2}\)
Rearrange to find the effort \( E \)
Multiplying both sides by \( 2E \):
\(1.8E = W\)
Substituting \( W = 180 \, \text{N} \):
\(
1.8E = 180\)
Solve for \( E \)
Now, dividing by 1.8:
\(E = \frac{180}{1.8} = 100 \, \text{N}\)
Therefore, the effort applied by the machine is: \(\boxed{100 \, \text{N}}\).
Source: Myschool Past Questions Archive (Record #47434)
Physics
UTME / JAMB 2018
Electrostatics & Capacitors
Diagram
Solution
Calculate the effective capacitance of the circuit in the diagram given
Attached Figure / Diagram
A
4μf
B
3μf
C
2μf
D
1μf
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
The three 2µf capacitors from the left are parallel. Therefore, effective capacitance in parallel = 6µf
The 6µf, 2µf(opposite the 3µf), and the 3µf are in series.
So effective/total capacitance in series = \(\frac{1}{C_T}\) = \(\frac{1}{C_1}\) + \(\frac{1}{C_2}\) + \(\frac{1}{C_3}\)
= \(\frac{1}{6}\) + \(\frac{1}{2}\) + \(\frac{1}{3}\) = \(\frac{1 + 3 + 2}{6}\) = \(\frac{6}{6}\)
C\(_T\) = 1µf
Source: Myschool Past Questions Archive (Record #47435)
Physics
UTME / JAMB 2018
Work, Energy, Power & Simple Machines
Solution
Temperature is the property of a body which is proportional to the ____.
A
total kinetic energy of its molecules
B
average kinetic energy of its molecules
C
average speed of its molecules
D
maximum speed of its molecules
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
The last postulate of the kinetic molecular theory states that the average kinetic energy of a gas particle depends only on the temperature of the gas. Thus, the average kinetic energy of the gas particles increases as the gas becomes warmer.
Source: Myschool Past Questions Archive (Record #47719)
Physics
UTME / JAMB 2018
Newton's Laws, Momentum & Collisions
Solution
The product of force and time is?
A
Impulse
B
Momentum
C
Inertia
D
Friction
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
An impulse is equal to the net force on the object times the time period over which this force is applied. Impulse is derive from the equation F = ma, which comes from Newton's second law of motion
Source: Myschool Past Questions Archive (Record #47720)
Physics
UTME / JAMB 2018
Waves, Sound & Vibrations
Solution
Which of the following concepts is not an evidence of the particles nature of matter?
A
Diffusion
B
Brownian motion
C
Diffraction
D
Esterification
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Diffusion is the net movement of molecules/atoms from a region of high concentration to low concentration.
Brownian motion is the erratic random movement of microscopic particles in a field.
Diffraction is the various phenomena that occur when a wave encounters an obstacle.
Source: Myschool Past Questions Archive (Record #47721)
Physics
UTME / JAMB 2018
Equilibrium of Forces, Moments & Flotation
Solution
A solid cube of side 50cm and mass 75kg floats in a liquid with \(\frac{1}{3}\) of its height above the liquid surface. The relative density of the liquid is?
A
0.33
B
0.50
C
0.67
D
0.90
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Volume of liquid displaced
= \(\frac{2}{3}\)(0.5)\(^3\) = 0.0833cm3
Mass of liquid displaced = mass of floating cube = 75kg
Density of liquid = \(\frac{mass}{volume}\)
= \(\frac{75}{0.0833}\)
= 900kgm\(^{-3}\)
R.D of liquid = \(\frac{(900 )}{(1000)}\)
= 0.9
Source: Myschool Past Questions Archive (Record #47723)