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Mathematics
UTME / JAMB 2014
Mensuration (Areas, Perimeters & Volumes)
Solution
If the angle of a sector of a circle with radius 10.5 cm is 120^\circ, find the perimeter of the sector. [Take \(\pi = \frac{22}{7}\)]
A
48 cm
B
40 cm
C
43 cm
D
45 cm
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
Perimeter of the sector = \(2r + \frac{\theta}{360^\circ} \times 2\pi r\)
= \(2(10.5) + \frac{120}{360} \times 2 \times \frac{22}{7} \times 10.5\)
= \(21 + 22\)
= 43 cm
Source: Myschool Past Questions Archive (Record #54929)
Physics
UTME / JAMB 2014
Current Electricity & Electric Circuits
What is the least possible error encountered when taking measurement with a meter rule?
A
0.1mm
B
1.0mm
C
0.5mm
D
0.2mm
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 #26954)
Physics
UTME / JAMB 2014
Scalars, Vectors & Relative Motion
Solution
A quantity which requires magnitude and direction to be specified is
A
Temperature
B
Distance
C
Displacement
D
Mass
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Displacement is a vector quantity
Source: Myschool Past Questions Archive (Record #26955)
Physics
UTME / JAMB 2014
Equilibrium of Forces, Moments & Flotation
I Electrical potential, II Torque, III Kinetic Energy, IV Momentum. Which of the quantities listed are vectors?
A
II and IV
B
I and II
C
I and III
D
II and III
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 #26956)
Physics
UTME / JAMB 2014
Current Electricity & Electric Circuits
Solution
Which type of motion do the wheels of a moving car undergo?
A
Vibratory and translational motion
B
Random and translational motion
C
Rotational mand oscillatory motion
D
Translational and rotational motion
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
The tyre in motion makes a rotation and it translates in a straight line alongside. if the wheels is turned it continued further in a translational straight line through rotational motion.
Source: Myschool Past Questions Archive (Record #26957)
Physics
UTME / JAMB 2014
Current Electricity & Electric Circuits
Solution
A car accelerates uniformly from rest at 3ms-2. its velocity after traveling a distance of 24m is
A
12ms-1
B
144ms-1
C
72ms-1
D
36ms-1
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
V2 = U2 x 2ax
V2 = 0 x 2(3)(24)
V2 = 144
V = \(\sqrt{144}\)
V = 12ms-1
Source: Myschool Past Questions Archive (Record #26958)
Physics
UTME / JAMB 2014
Circular Motion, Gravitation & Simple Harmonic Motion
Solution
Calculate the escape velocity of a satellite launched from the earth's surface if the radius of the earth is 6.4x106m
A
25.3kms-1
B
4.2kms-1
C
4.0kms-1
D
11.3kms-1
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Vescape = \(\sqrt{2gR}\)
Vescape = \(\sqrt{2\times10\times6.4\times10^6}\)
Vescape = \(\sqrt{128000000}\)
Vescape = 11313.7085mS-1
Vescape = 11.313kmS-1
Source: Myschool Past Questions Archive (Record #26959)
Physics
UTME / JAMB 2014
Current Electricity & Electric Circuits
An object of weight 8kg on earth is taken to a planet where acceleration due to gravity is one-third of its value on earth. The weight of the object on the planet is
A
48N
B
12N
C
27N
D
36N
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 #26960)
Physics
UTME / JAMB 2014
Current Electricity & Electric Circuits
One of the conditions necessary for an object to be in equilibrium when acted upon by a number of parallel forces is that the vector sum of the forces is
A
Average
B
Zero
C
Negative
D
Positive
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option B.
Source: Myschool Past Questions Archive (Record #26961)
Physics
UTME / JAMB 2014
Current Electricity & Electric Circuits
Solution
What happens when three coplanar non-parallel forces are in equilibrium?
A
Their lines of action are parallel.
B
They are represented in magnitude only
C
They are represented in direction only
D
Their lines of action meet at a point
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Conditions for non-parallel coplanar forces
Source: Myschool Past Questions Archive (Record #26962)
Physics
UTME / JAMB 2014
Work, Energy, Power & Simple Machines
Solution
An object of mass 20kg is released from a height of 10m above the ground level. The kinetic energy of the object just before it hits the ground is
A
200J
B
4000J
C
2000J
D
500J
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Kinetic Energy = mgh
= 20 x 10 x 10 J
= 2000J
Source: Myschool Past Questions Archive (Record #26963)
Physics
UTME / JAMB 2014
Work, Energy, Power & Simple Machines
Solution
The energy in the nucleus of atoms produce heat which can be used to generate
A
Kinetic energy
B
Mechanical energy
C
Electrical energy
D
Potential energy
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Electrical energy: This is primarily done in nuclear power plants, where the heat generated from nuclear reactions is used to produce steam that drives turbines, ultimately generating electricity.
Source: Myschool Past Questions Archive (Record #26964)
Physics
UTME / JAMB 2014
Work, Energy, Power & Simple Machines
Solution
A machine whose efficiency is 75% is used to lift a load of 1000N. Calculate the effort put in to the machine if it has a Velocity ratio of 4.
A
343.32N
B
233.33N
C
333.33N
D
334.33N
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
\(\frac{MA}{VR}\times\frac{100}{1}=efficiency\)
\(\frac{L}{E}\frac{1}{VR}\times\frac{100}{1}=75\)
\(\frac{1000}{E}\frac{1}{4}\times\frac{100}{1}=75\)
\(E = \frac{250 \times 100}{75}\)
E = 333.3N
Source: Myschool Past Questions Archive (Record #26965)
Physics
UTME / JAMB 2014
Work, Energy, Power & Simple Machines
Solution
A wheel and an axle is used to raise a load whose weight is 800N when an effort of 250N is applied. If the radii of the wheel and axle are 800mm and 200mm respectively, the efficiency of the machine is
A
90%
B
80%
C
85%
D
87%
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
VR = 800/200 = 4
\(Efficiency = \frac{MA}{VR} \times \frac{100}{1}\)
\(Efficiency = \frac{L}{E} \times \frac{1}{VR} \times \frac{100}{1}\)
\(Efficiency = \frac{800}{250} \times \frac{1}{4} \times \frac{100}{1}\)
= 78.74%
= 80%
Source: Myschool Past Questions Archive (Record #26966)
Physics
UTME / JAMB 2014
Elasticity, Density, Pressure & Fluids
Solution
A force of 500N1 is applied to a steel wire of cross-sectional area 0.2m2, The tensile stress is
A
2.5x104Nm-2
B
1.0x102Nm-2
C
1.0x103Nm-2
D
2.5x103Nm-2
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
\(Stress = \frac{Force}{Area}\)
\(Stress = \frac{500}{0.2} = 2500\)
= 2.5 x 103Nm-3
Source: Myschool Past Questions Archive (Record #26967)