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Physics
UTME / JAMB 2010
Work, Energy, Power & Simple Machines
Solution
A machine of velocity ratio 6 requires an effort of 400 N to raise a load of 800 N through I m. Find the efficiency of the machine
A
55. 6 %
B
50.0%
C
33.3%
D
22.2%
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Efficiency = (MA)/V.R x 100% = (load)/Effort x (1)/V.R
= (800)/400 x (1)/6 x 100% = 33.3%
Source: WAEC / JAMB / NECO Classroom Archive (Record #14293)
Physics
UTME / JAMB 2010
Newton's Laws, Momentum & Collisions
Diagram
Solution
The diagram above represents balls in an undulating surface. Which of the following option represents positions of stable equilibrium?
Attached Figure / Diagram
A
III, IV and VIII
B
II, V and VIII
C
III, VI and IX
D
I, IV and VII
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
A bod y is said to be in stable equilibrium if after a slight displacement, the body returns to its former position. Thus, position III, VI and XI represents position of stable equilibrium
Source: WAEC / JAMB / NECO Classroom Archive (Record #14507)
Physics
UTME / JAMB 2010
Circular Motion, Gravitation & Simple Harmonic Motion
Solution
The wavelength of a wave traveling with a velocity of 420 ms\(^{-1}\) is 42 m. What is its period?
A
1.2 s
B
1.0 s
C
0.5 s
D
0.1 s
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
V = f\lambda
f = (v)/\lambda = (420)/42 = 10 HZ
Period, T = (1)/F = (1)/10 = 0.1 secs
Source: WAEC / JAMB / NECO Classroom Archive (Record #14316)
Physics
UTME / JAMB 2010
Circular Motion, Gravitation & Simple Harmonic Motion
Solution
A bob of weight 0.1 N hangs from a massless string of length 50 cm. A variable horizontal force which increase from zero is applied to pull the bob until the string makes an angle of 60o with the vertical. The work done is?
A
0.500 J
B
0.250 J
C
0.050 J
D
0.025 J
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Length of the string
L = y + x = 0.5m
∴ x = L - y
= distance moved in the direction of force (which is the weight) when the body is released But cos 60o = y/0.5
∴ y = 0.5cos60 = 0.5 x 1/2 = 0.25
∴ x = l - y = 0.5 - 0.25 = 0.25m
Work done = force x distance moved in the direction of force.
= 0.1 x 0.25 = 0.025J
Source: WAEC / JAMB / NECO Classroom Archive (Record #14508)
Physics
UTME / JAMB 2010
Equilibrium of Forces, Moments & Flotation
Solution
The accurate measurement of the relative density of a substance in its powdered form is done with a beam balance and?
A
a density bottle
B
an eureka can
C
a pipette
D
a burette
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Since relative density = mass of substance
mass of equal volume of water relative density bottle should be used to determine the mass of the substance, and mass of an equal volume of water by filling the bottle with the powder and water respectively and weighed with the beam balance.
Source: WAEC / JAMB / NECO Classroom Archive (Record #14297)
Physics
UTME / JAMB 2010
Equilibrium of Forces, Moments & Flotation
Solution
A hydrometer is an instrument used in measuring?
A
vapour pressure of a fluid
B
density of liquid
C
relative humidity of a liquid
D
relative density of a liquid
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
The instrument used in measuring relative density is hydrometer
Source: WAEC / JAMB / NECO Classroom Archive (Record #14298)
Physics
UTME / JAMB 2010
Equilibrium of Forces, Moments & Flotation
Solution
The density of a certain oil on frying becomes 0.4 kgm\(^{-3}\) with the volume of 20m\(^{3}\). what will be its initial volume when its initial density is 0.8 kgm\(^{-3}\) assuming no loss of oil due to spillage?
A
12m3
B
10m3
C
8m3
D
5m3
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Density (D) = \(\frac{mass}{volume}\)
\(\therefore Mass = Density \times volume\)
= \(0.4 \times 20 = 8kg\)
The initial volume = \(\frac{Mass}{\text{Initial density}}\)
= \(\frac{8}{0.8} = 10m^{3}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #14302)
Physics
UTME / JAMB 2010
Elasticity, Density, Pressure & Fluids
Solution
If a wire 30 cm long is extended to 30.5 cm by a force of 300 N. find the strain energy of wire
A
0.75 J
B
7.50 J
C
75.00 J
D
750.00 J
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Energy stored in a stretched wire (strain energy)
= average force x extension
= (1)/2 Fe
= (1)/2 x 300 N (30.5 - 30.0) x 10-2 m
= (300)/2 x 0.5 x 10-2 = 0.75J
Source: WAEC / JAMB / NECO Classroom Archive (Record #14295)
Physics
UTME / JAMB 2010
Temperature, Thermometry & Thermal Expansion
Solution
In a hydraulic press, the pump piston exerts a pressure of 100 pa on the liquid. what force is exerted in the second piston of cross sectional area 3 m2?
A
300 N
B
200 N
C
150 N
D
100 N
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Thrust = pressure x area = 100 pa x 3 m2 = 300 N
Source: WAEC / JAMB / NECO Classroom Archive (Record #14296)
Physics
UTME / JAMB 2010
Temperature, Thermometry & Thermal Expansion
Solution
One special advantage of alcohol over mercury as a thermometric liquid is its?
A
low density
B
low freezing point
C
high specific
D
low boiling point
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
The low freezing point of alcohol, -115^\circc enable low temperatures to be measured. mercury freezes at 39^\circc, and cannot be used in countries like Russia where winter temperatures of -40^\circc are common
Source: WAEC / JAMB / NECO Classroom Archive (Record #14299)
Physics
UTME / JAMB 2010
Temperature, Thermometry & Thermal Expansion
Solution
Heat is radiated by hot objects in the form?
A
x-rays
B
light energy
C
infrared rays
D
solar energy
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Infrared rays falling on the skin causes the skin causes the sensation of warmth. since the objects are hot, the correct option is informed.
Source: WAEC / JAMB / NECO Classroom Archive (Record #14305)
Physics
UTME / JAMB 2010
Temperature, Thermometry & Thermal Expansion
Solution
The pressure of one mole of an ideal gas of volume 10\(^-2\) m\(^3\) at a temperature of 27°c is
[molar gas constant = 8.3 J mol\(^{-1}\) k\(^{-1}\)]
A
2.49 x 104 Nm-2
B
2.24 x 104 Nm-2
C
2.49 x 105 Nm-2
D
2.24 x 105 Nm-1
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
T = 27 + 273 = 300 K, volume, V = 10-2 m3 molar gass constant, R = 8.3 Jmol- 1k - 1 number of mole, n = 1
PV = NRT
i.e P = (NRT)/V = (1 x 8.3 x 300)/10-2
= 2.49 x 10\(^5\) Nm\(^-2\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #14313)
Physics
UTME / JAMB 2010
Temperature, Thermometry & Thermal Expansion
Solution
Two metals P and Q of length l1 and l2 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 lengths is 3:4. What is the ratio of increase in length of P to Q?
A
7:5
B
5:7
C
1:2
D
2:1
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Metals P, Q
original length lP, lQ
Increase in length \DeltalP, \DeltalQ
Linear expansivities \alphaP, \alphaQ
∴ \alphaP/\alphaQ = 2/3 ; and lP/lQ = 3/4
But increase in length, \Deltal = \alphal\Delta\theta
∴\DeltalP = \alphaPlP\Delta\theta
\DeltalQ = \alphaQlQ\Delta\theta
∴
\DeltalP
=
\alphaPlP\Delta\theta
=
2
x
3
=
1
\DeltalQ
\alphaQlQ\Delta\theta
3
4
2
∴ Ratio of increase in length of P to Q = 1:2
Source: WAEC / JAMB / NECO Classroom Archive (Record #14509)
Physics
UTME / JAMB 2010
Calorimetry, Latent Heat & Change of State
Solution
A vapor is said to be saturated when?
A
a dynamic equilibrium exists between liquid molecules and the vapour molecules
B
a dynamic equilibrium exists such that more molecules return to the liquid than are leaving it
C
the temperature of the vapour varies
D
the vapour pressure is atmospheric
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
A saturated vapour is one which is in dynamic equilibrium with its own liquid; that is as many go from the liquid to the vapour state every second return back to liquid.
Source: WAEC / JAMB / NECO Classroom Archive (Record #14310)
Physics
UTME / JAMB 2010
Circular Motion, Gravitation & Simple Harmonic Motion
Solution
A stone and a feather are dropped from the same height above the earth surface. Ignoring air resistance, which of the following is correct?
A
the feather will be blown away by the wind while stone will drop steadily
B
the stone and the feather will both reach the ground at the same time
C
the feather will reach the ground first
D
the stone will reach the ground first
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
The acceleration of free fall due to gravity is independent of mass of the body. Therefore, ignoring air resistance, which affects feather more than the stone, the stone and the feather will both reach the ground at the same time
Source: WAEC / JAMB / NECO Classroom Archive (Record #14285)