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Physics
UTME / JAMB 2006
Current Electricity & Electric Circuits
Solution
An electric heater with a p.d of 240 V connected across its terminals has a total resistance of 960Ω. find the power rating of the heater.
A
0.25 W
B
4.00 W
C
38.40W
D
60.00W
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Electrical power = IV or I2R or (V)/R
With V = 240v, R = 960Ω
Power (V2)/R = (240 X 240)/960
=60Watts
Source: Myschool Past Questions Archive (Record #13857)
Physics
UTME / JAMB 2006
Electrostatics & Capacitors
Solution
If the capacitance of a capacitor is C = \(\frac{(εA)}{d}\) which of the following parameters is varied when a variable capacitors is used for tuning radio sets?
A
constant (ε) and area
B
area and distance.
C
constant (ε) only
D
distance only
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
In a variable capacitor, the capacitance is adjusted by changing the overlapping area of the plates (area) and/or the distance between the plates (distance). This allows for tuning in radio sets.
Source: Myschool Past Questions Archive (Record #13858)
Physics
UTME / JAMB 2006
Electrostatics & Capacitors
Solution
When an a.c. voltage is applied to a capacitor, no power is consumed because the current
A
leads the voltage by 90°
B
lags behind the voltage by 90°
C
and voltage are in phase
D
and voltage are 180° out of phase
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
In a capacitive circuit, current leads voltage by 90°, or voltage lags current by 90°
Source: Myschool Past Questions Archive (Record #13859)
Physics
UTME / JAMB 2006
Calorimetry, Latent Heat & Change of State
Solution
An immersion heater rated 2.0A, 240V is used to boil water from temperature 52°c to 100°c. If the mass of the water is 2.5kg. determine the time taken to boil the water.
[specific heat capacity of water = 4.2 x 103 jkg-1 k-1]
A
1.05 x 103s
B
1.05 x 105s
C
1.05 x 102s
D
1.05 x 104s
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Power of heater = lvt = 2 x 240 x t
heat required to boil the water = Mct = 2.5 x 4.2 x 103 x (100.52) = 2.5 x 4. 2 x 103 x 48
2 x 240 x t = 2.5 x 4.2 x 103 x 48
∴ t = (2.5 x 4.2 x 103 x 48)/2 x 240
= 1050s or 1.05 x 103s
Source: Myschool Past Questions Archive (Record #13843)
Physics
UTME / JAMB 2006
Gas Laws & Heat Transfer
Solution
The thermos flask is designed to?
A
prevent heat loss or gain by conduction, convection and radiation
B
store hot tea or water
C
prevent heat gain by conduction, convection and radiation
D
prevent heat lost by conduction, convention and radiation
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
The thermos flask is designed to: A. prevent heat loss or gain by conduction, convection, and radiation
Its design minimizes heat transfer in all three forms, keeping liquids hot or cold for extended periods.
Source: Myschool Past Questions Archive (Record #13849)
Physics
UTME / JAMB 2006
Temperature, Thermometry & Thermal Expansion
Solution
what is likely to happen if the glass of a thermometer expands more upon heating than the liquid inside?
A
the glass will break
B
the glass will shrink
C
the liquid will rise up in the stem
D
the liquid will go down in the stem
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
when the glass of a thermometer expands more on heating than the liquid inside, the liquid level would fall compared with the tube wall
Source: Myschool Past Questions Archive (Record #13850)
Physics
UTME / JAMB 2006
Calorimetry, Latent Heat & Change of State
Solution
A drop of petrol makes a finger colder than a drop of water would because?
A
petrol takes its latent heat of veporization from the finger
B
petrol takes its latent heat of fusion from the finger
C
water is more viscious than petrol
D
water has higher surface tension dan petrol
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
This process occurs as the petrol evaporates, drawing heat away from the skin and causing a cooling sensation.
Source: Myschool Past Questions Archive (Record #13852)
Physics
UTME / JAMB 2006
Current Electricity & Electric Circuits
Solution
A cell of internal resistance r is connected to an external resistor R. The condition for maximum power transfer is?
A
R < r
B
R = r
C
R = 2r
D
R > r
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Power = I\(^2\)R
= \((\frac{E}{R + r})^2 R\)
To get point of maximum power transfer, we take the derivative and equate it to 0.
\(P = E^2 (\frac{R}{(R + r)^2})\)
\(\frac{\mathrm d P}{\mathrm R} = E^2 (\frac{(R + r)^2 - 2R(R + r)}{(R + r)^4})\)
= \(E^2 (\frac{(R + r)[(R + r) - 2R}{(R + r)^4})\)
\(\frac{\mathrm d P}{\mathrm d R} = E^2 (\frac{r - R}{(R + r)^3})\)
Maximum power is gotten when r - R = 0 i.e. r = R.
Source: Myschool Past Questions Archive (Record #13853)
Physics
UTME / JAMB 2006
Current Electricity & Electric Circuits
Solution
The electrolyte in the Nickei-iron (Nife) accumulator is
A
potassium hydroxide solution
B
dilute tetraoxosulphate(VI)acid
C
copper tetraoxosulphate(VI)solution
D
ammonium chloride solution
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
In a nickel-iron (NiFe) accumulator, the electrolyte used is typically a potassium hydroxide solution.
Source: Myschool Past Questions Archive (Record #13861)
Physics
UTME / JAMB 2006
Current Electricity & Electric Circuits
Solution
During electrolysis, 2.0 g of a metal is deposited using a current of 0.5 A in 3 hours. The mass of the same metal which can be deposited using a current of 1.5 A in 1 hour is?
A
1.0 g
B
0.5 g
C
3.0 g
D
2.0 g
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
M = Itz; z = (M)/It = (2)/0.5 x 3 x 60 x 60
= 3.703 x 10-4 gc-1
∴ M = Itz = 1.5 x 1 x 60 x 60 x 3.703 x 10-4
= 1.99962g.
=2.0g
Source: Myschool Past Questions Archive (Record #13866)
Physics
UTME / JAMB 2006
Magnetism, Electromagnetism & AC Circuits
Solution
When a certain a.c supply is connected to a lamp, it lights with the same brightness as it does with a 12 V d.c battery. Then r.m.s value of the a.c supply is?
A
12.0 V
B
3.5 V
C
17.0 V
D
8.5
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
The r.m.s value of an a.c voltage/current is the value of the d.c. voltage/ current that will dissipate the same amount of energy in a given resistance as the a.c. Thus the r.m.s value of the a.c supply is 12v.
Source: Myschool Past Questions Archive (Record #13868)
Physics
UTME / JAMB 2006
Current Electricity & Electric Circuits
Solution
An ammeter of resistance 5Ω has a full-scale deflection when a current of 50 mA flows in it. The value of the resistor required to adapt it to measure a current of 5 A is?
A
0.25Ω
B
5.00Ω
C
19.80Ω
D
0.05Ω
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
R\(_s\) = \(\frac{(i_gr_g)}{I-i_g}\) = \(\frac{(50 \times 10^{-3} \times 5)}{5 - (50 x 10^{-3})}\) = \(\frac{(0.25)}{4.95}\) = 0.0505 = 0.05Ω
Source: Myschool Past Questions Archive (Record #13879)
Physics
UTME / JAMB 2006
Elasticity, Density, Pressure & Fluids
Solution
In an experiment to determine terminal velocity, as the pressure increases, the viscosity off a liquid
A
increases
B
decreases
C
increases then decreases
D
remains constant
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Generally, the viscosity of liquids tends to increase with pressure, as the increased pressure can lead to a greater interaction between molecules
Source: Myschool Past Questions Archive (Record #13881)
Physics
UTME / JAMB 2006
Scalars, Vectors & Relative Motion
Solution
The component of vector X along the direction of vector Y is zero when
A
X and Y are in opposite directions to each other
B
X is at an angle of 45° to Y
C
X is perpendicular to Y
D
X and Y are parallel to each other
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
When two vectors are perpendicular, the angle between them is 90 degrees, resulting in the component of one vector along the direction of the other being zero.
Source: Myschool Past Questions Archive (Record #13883)
Physics
UTME / JAMB 2006
Current Electricity & Electric Circuits
Solution
The correct unit of energy density is?
A
kg m3 s-2
B
kg m2 s-2
C
kg m-3 s-2
D
kg m-1 s-2
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Energy density = \(\frac{\text{Energy}}{\text{Volume}}\) = \(\frac{\text{Joule}}{m^3}\) = \(\frac{kg m^2 s^{-2}}{m^3}\) = kgm\(^{-1}\)s\(^{-2}\)
Source: Myschool Past Questions Archive (Record #13884)