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Physics
UTME / JAMB 2010
Mechanics and Properties of Matter
Solution
THe velocity of sound in air at 16oC is 340ms-1. What will it be when the pressure is doubled and its temperature raised to 127ºC?
A
400 ms-1
B
4,000 ms-1
C
8,000 ms-1
D
160,000 ms-1
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
The velocity of sound in air, V∝\(\sqrt{T}\), where T is the absolute temperature
Thus V = K\(\sqrt{T}\) or K = \(\frac{\text{V}}{\sqrt{T}}\)
V is independent of pressure and density at a fixed temperature.
∴ \(\frac{V_1}{\sqrt{T_1}}\) = \(\frac{V_2}{\sqrt{T_2}}\)
T\(_1\) = 16 + 273 = 289K, V\(_1\) = 340ms\(^{-1}\)
T\(_2\) = 127 + 273 = 400K, V\(_2\) = ?
\(\frac{340}{\sqrt{289}}\) = \(\frac{V_2}{\sqrt{400}}\)
∴ V\(_2\) = \(\frac{340 \sqrt{400}}{\sqrt{289}}\) = 400m/s
Source: Myschool Past Questions Archive (Record #14510)
Physics
UTME / JAMB 2010
Heat Energy & Temperature
Diagram
Solution
The diagram above shows a balanced metre bridge, the value of x is
Attached Figure / Diagram
A
75.0 cm
B
66.7 cm
C
33.3 cm
D
25.0 cm
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
1/R = 1/8 + 1/8 = 2/8
∴ R = 4Ω
l/l1 = R/R1
(x)/(100-x) = 4/8
4(100-x) = 8x
400-4x = 8x
400 = 8x + 4x = 12x
x = 400/12 = 33.3cm
Source: Myschool Past Questions Archive (Record #14513)
Physics
UTME / JAMB 2010
Electricity and Magnetism
Solution
Three 4Ω resistors connected in parallel have a potential difference of 16 V applied across them. What is the total current in the circuit?
A
14 A
B
12 A
C
10 A
D
8 A
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
1/R = 1/4 + 1/4 + 1/4 = 3/4
R = 4/3
I = V/R
= 164/3
= 16 x 3_4
= 12 A
Source: Myschool Past Questions Archive (Record #14514)
Physics
UTME / JAMB 2010
Mechanics and Properties of Matter
Solution
The process whereby a substance changes from a solid to liquid when heat is applied, is called?
A
Evaporation
B
Vaporization
C
Fission
D
Fusion
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
The process of a substance changing from solid to liquid upon heating is called fusion. It happens when the temperature reaches the melting point, allowing particles to gain enough energy to move freely as a liquid.
Source: Myschool Past Questions Archive (Record #29557)
Physics
WAEC / WASSCE 2010
Thermal Physics
Which of the following properties of a long steel bar would alter if the bar were melted, recast into a cube and allowed to cool to its original temperature?
A
sensity
B
volume
C
specific heat capacity
D
electrical resistance
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 #35245)
Physics
WAEC / WASSCE 2010
Heat Energy & Temperature
Which of the following instruments is best for measuring the diameter of a thin constantan wire?
A
callipers
B
metre rule
C
micometer screw guage
D
vernier callipers
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 #35247)
Physics
WAEC / WASSCE 2010
Mechanics and Properties of Matter
Solution
What is the density of a fuel of relative density 0.72? [Density of water = 1000kg m-3]
A
72 kgm-3
B
720 kgm-3
C
7200 kgm-3
D
72000 kgm-3
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
P = 0.72 x 1000 = 720
Source: Myschool Past Questions Archive (Record #35252)
Physics
WAEC / WASSCE 2010
Heat Energy & Temperature
The types of motion which a cylindrical drum rolling down an inclined plane undergoes are
A
circular and translational
B
rotational and translational
C
rotational and circular
D
rectilinear and circular
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 #35253)
Physics
WAEC / WASSCE 2010
Mechanics and Properties of Matter
Solution
Which of the following statements about static friction is correct? It
A
is independent of the nature of the surface in contact
B
depends on the area of surface in contact
C
depends on the relative motion between the surface in contact
D
depends on the weight of the moving body
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
The maximum force of static friction (\(f_{s}\)) is directly proportional to the normal reaction force (\(R\)) pressing the two surfaces together (\(f_s = \mu_s R\)). On a flat, horizontal surface, the normal reaction force is exactly equal to the weight of the body (\(R = mg\)). Therefore, static friction depends directly on the body's weight.
Source: Myschool Past Questions Archive (Record #35260)
Physics
WAEC / WASSCE 2010
Mechanics and Properties of Matter
Solution
Which of the following statements about moving particle is correct?
A
if the resultant force acting on the particle is zero, then it is in dynamic equillibrium
B
If the resultant force acting on the acting on the particle is greater than zero, then it is moving with a uniform velocity
C
the rate of change of its momentum with time tales place in a direction opposite to that of its motion
D
the particle falling freely covers equal distances in equal time interval
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
A particle is in dynamic equilibrium if the resultant force acting on it is zero. This means that the sum of all forces acting on the particle is zero, resulting in no acceleration or change in velocity. Therefore, the particle can either be at rest or moving with a constant velocity
Source: Myschool Past Questions Archive (Record #35261)
Physics
WAEC / WASSCE 2010
Mechanics and Properties of Matter
Solution
Two cars X and Y travelling in opposite directions along the same high way at uniform velocities 110 kmh-1 and 90kmh-1 respectively pass each other at a certain point. The velocity of X relative to Y at the time they pass each other is
A
200 kmh-1
B
100 kmh-1
C
40 kmh-1
D
20 kmh-1
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
R = 110 + 90 = 200
Source: Myschool Past Questions Archive (Record #35271)
Physics
WAEC / WASSCE 2010
Mechanics and Properties of Matter
The average speed of an object is determined by dividing the sum of its initial and final speeds by two only when the acceleration is
A
changing
B
uniform
C
increasing
D
decreasing
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 #35272)
Physics
WAEC / WASSCE 2010
Mechanics and Properties of Matter
Solution
a body is projected horizonatlly from the top of a cliff 45m above the ground. if the body lands at a distance 30m from the foot of the cliff, calculate the speed of projection. [g = 10ms-2]
A
10ms-1
B
15ms-1
C
20ms-1
D
30ms-1
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
from, H = \(\frac{1}{2}\)gt\(^2\)
45 = \(\frac{1}{2}\) x 10 x t\(^2\)
45 = 0.5 x 10 t\(^2\)
45 = 5t\(^2\)
t\(^2\) = \(\frac{45}{5}\) = 9
t = \(\sqrt{9}\) = 3s
But distance = velocity x time
V = \(\frac{D}{t}\) = \(\frac{30}{3}\) = 10m/s
Source: Myschool Past Questions Archive (Record #35273)
Physics
WAEC / WASSCE 2010
Heat Energy & Temperature
Which of the following statements best describes a rigid body? A body which
A
is not equally deformed
B
when deformed regains it shape
C
is brittle
D
when deformed remains deformed
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 #35274)
Physics
WAEC / WASSCE 2010
Heat Energy & Temperature
Solution
simple harmonic oscillator has a period of 0.02s and amplitude of 0.25m. Calculate the speed in ms-1 at the centre of the oscillation
A
125\(\pi\)
B
25.00\(\pi\)
C
100.00 \(\pi\)
D
400.00\(\pi\)
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
V = WX = \(\frac{2\pi \times 0.25}{0.02} = 25\pi\)
Source: Myschool Past Questions Archive (Record #35282)