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Physics
UTME / JAMB 2012
Mechanics and Properties of Matter
Solution
A load is pulled at a uniform speed along a horizontal floor by a rope at 45o to floor. If the force in the rope is 1500N, what is the frictional force on the load ?
A
1524N
B
1350N
C
1260N
D
1061N
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
F = mg cos 45o = 1500 x 0.708
Source: Myschool Past Questions Archive (Record #27375)
Physics
UTME / JAMB 2012
Heat Energy & Temperature
Solution
Calculate the total distance covered by a train before coming to rest if its initial speed is 30ms-1 with a constant retardation of 0.1m-2
A
5500m
B
4500m
C
4200m
D
3000m
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
S = \(\frac{V^2 - U^2}{20}\)
S = \(\frac{0^2 - 30^2}{2 \times 0.1}\)
Source: Myschool Past Questions Archive (Record #27376)
Physics
UTME / JAMB 2012
Mechanics and Properties of Matter
Solution
A car starts from rest and moves with a uniform acceleration of 30ms-2 for 20s. Calculate the distance covered at the end of the motion
A
6km
B
12km
C
18km
D
24km
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
S = \(ut + \frac{1}{2}at^2\)
S = \(0 \times 2 + \frac{1}{2} \times 30 \times 20^2\)
Source: Myschool Past Questions Archive (Record #27377)
Physics
UTME / JAMB 2012
Mechanics and Properties of Matter
I. Small size.
II. Low power requirement
III. Not easily damaged by high temperature
IV. Highly durable.
Which of the above are the advantages of semiconductors?
A
I,II and lll only
B
ll,lll and lV only
C
l, II and lV only
D
l, ll, lll and lV
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 2012
Mechanics and Properties of Matter
A rocket is fired from the earth's surface to a distant planet. By Newton's law of universal gravitation, the force F will
A
increase as r reduces
B
increase as G varies
C
remains constant
D
increases as r increases
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 #27378)
Physics
UTME / JAMB 2012
Heat Energy & Temperature
If a freely suspended object is pulled to one side and released, it oscillates about the point of suspension because the
A
acceleration is directly proportional to the displacement
B
motion is directed away from the equilibrium point
C
acceleration is directly proportional to the square of the displacement
D
velocity is minimum at the equilibrium ponit
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 #27382)
Physics
UTME / JAMB 2012
Mechanics and Properties of Matter
Solution
An object moves in a circular path of radius 0.5m with a speed of 1ms-1 What is its angular velocity?
A
8 rads-1
B
4 rads-1
C
2 rads-1
D
1 rads-1
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
W = \(\frac{v}{r} = \frac{1}{0.5}\)
Source: Myschool Past Questions Archive (Record #27383)
Physics
UTME / JAMB 2012
Heat Energy & Temperature
Solution
An object of mass 20kg slides down an inclined plane at an angle of 30o to the horizontal. The coefficient of static friction is?
[g = 10ms-2]
A
0.2
B
0.3
C
0.5
D
0.6
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
\(\mu = tan\theta = tan30\)
Source: Myschool Past Questions Archive (Record #27384)
Physics
UTME / JAMB 2012
Mechanics and Properties of Matter
Solution
A block and tackle is used to raise a load of 250N through a vertical distance of 30m. What is the efficiency of the system if the work done against friction is 1500J?
A
62.5%
B
73.3%
C
83.3%
D
94.3%
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Y = \(\frac{work output}{work input} \times \frac{100}{1}\)
Y = \(\frac{250 \times 30}{250 \times 30 + 1500} \times \frac{100}{1}\)
Source: Myschool Past Questions Archive (Record #27385)
Physics
UTME / JAMB 2012
Mechanics and Properties of Matter
Solution
If a load of 1 kg stretches a cord by 1.2cm, what is the force constant of the cord? {g=10ms-2}
A
866Nm-1
B
833Nm-1
C
769Nm-1
D
667Nm-1
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
K = \(\frac{F}{e}\)
K = \(\frac{1 \times 10}{\frac{0.2}{100}}\)
K = \(\frac{10}{12} \times \frac{1000}{1}\)
Source: Myschool Past Questions Archive (Record #27386)
Physics
UTME / JAMB 2012
Mechanics and Properties of Matter
Solution
An object of volume 1 m 3 and mass 2kg is totally immersed in a liquid of density 1 kgm-3 . Calculate its apparent weight.
A
20N
B
10N
C
2N
D
1 N
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
M = DV = 1 x 1 = 1kg
App Wt = (2 - 1)g = 1 x 10
= 10
Source: Myschool Past Questions Archive (Record #27387)
Physics
UTME / JAMB 2012
Mechanics and Properties of Matter
The pressure at any point in a liquid at rest depends only on the
A
depth and the density
B
mass and the volume
C
quantity and the surface area
D
surface area and the viscosity
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 #27388)
Physics
UTME / JAMB 2012
Mechanics and Properties of Matter
Solution
A balloon whose volume is 300m3 is filled with hydrogen. If the density of air is 1.3 kgm-3, find the upthrust on the balloon. [g = 10ms-2]
A
3000N
B
3800N
C
3900N
D
4200N
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
F = mg = D x V x g = 1.3 x 300 x 10 = 3900
Source: Myschool Past Questions Archive (Record #27389)
Physics
UTME / JAMB 2012
Thermal Physics
Clinical thermometers are examples of
A
pressure gas thermometer
B
resistance thermometer
C
alcohol thermometer
D
mercury- in - glass thermometer
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 #27390)
Physics
UTME / JAMB 2012
Thermal Physics
Solution
Two metals P and Q are heated through the same temperature difference. If the ratio of the linear expansivities of P to Q is 2:3 and the ratio of their
length is 3: 4 respectively, the ratio of the increase in lengths of P to Q is
A
1:2
B
2:1
C
8:9
D
9:8
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
P: \(\frac{\alpha h \theta}{\alpha h \theta}\)
\(\frac{2 \times 3 \times \theta}{3 \times 4 \times \theta}\)
\(\frac{1}{2}\)
Source: Myschool Past Questions Archive (Record #27392)