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Physics
WAEC / WASSCE 2019
Waves
Solution
Which of the following properties is not exhibited by sound waves?
A
Diffraction
B
Polarization
C
Interference
D
Reflection
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
polarization, property of certain electromagnetic radiations(such as radio waves, visible light, and gamma rays) in which the direction and magnitude of the vibrating electric field are related in a specified way
Source: WAEC / JAMB / NECO Classroom Archive (Record #59032)
Chemistry
WAEC / WASSCE 2019
Basic Chemistry
Solution
consider the following reaction equation: 2Al(OH)\(_3\) + 3H\(_2\)SO\(_4\) →Al\(_2\)(SO4)\(_3\)(aq)+6H\(_2\)O. How many moles of tetraoxosulphate(vi)acid is needed to produce 0.5mol of aluminium tetraoxosulphate(vi)?
A
0.5
B
1.0
C
1.5
D
3.0
medium Difficulty
Verified Correct Answer: Option C
Chemical Principles & Mechanism
Where 3mols of H2So4 = 1 mol of (Al2SO4)3
y mols of H2SO4 = 0.5 mol of (Al2SO4)3
Then cross multiply to have:
y = \(\frac{3\times0.5}{1}\)
y = 1.5 moles
Source: WAEC / JAMB / NECO Classroom Archive (Record #58126)
Chemistry
WAEC / WASSCE 2019
Periodic Table & Periodicity
Solution
which of the following elements has the highest ionization energy?
A
Calcium
B
Chlorine
C
Flourine
D
Magnesium
medium Difficulty
Verified Correct Answer: Option C
Chemical Principles & Mechanism
The ionisation energy is the minimum energy required to remove the most loosely bound electron of an isolated gaseous atom, positive ion, or molecule.
Fluorine has the highest ionization energy when assessed through the trend on the periodic table.
Source: WAEC / JAMB / NECO Classroom Archive (Record #57924)
Chemistry
WAEC / WASSCE 2019
Water and Solubility Concept
Solution
The properties of a good primary standard solution include the following except?
A
High molecular mass
B
low molecular mass
C
high degree of purity
D
readily available
medium Difficulty
Verified Correct Answer: Option B
Chemical Principles & Mechanism
Properties of a good standard solution
High purity.
Stability (low reactivity)
Low hygroscopicity (to minimize weight changes due to humidity)
High equivalent weight (to minimize weighing errors)
Non-toxicity.
Ready and cheap availability.
High molecular mass
Source: WAEC / JAMB / NECO Classroom Archive (Record #58043)
Chemistry
WAEC / WASSCE 2019
Electrochemistry & Electrolysis
Solution
If the oxidation potential of Mg and Al are +2.37 volts and + 1.66 volts respectively, then the Mg would?
A
not replace Al
B
be replaced by Al
C
remain in the solution
D
replace Al
medium Difficulty
Verified Correct Answer: Option D
Chemical Principles & Mechanism
Cation which is lower in the series (less electropositive) will show a greater tendency to be discharged.
Source: WAEC / JAMB / NECO Classroom Archive (Record #58177)
Physics
WAEC / WASSCE 2019
Mechanics and Properties of Matter
Solution
A stone of mass 20g is released from a catapult whose rubber is stretched through 5cm. If the force constant of the rubber is 200Nm\(^{-1}\), calculate the speed with which the stone leaves the catapult.
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
½Ke\(^{2}\) = ½mv\(^{6}\)
½ x 200 x (0.05)\(^{2}\) = ½ x 0.02 x v\(^{2}\)
v\(^{2}\) = 25
v = 5 m s\(^{-1}\)
Source: Myschool Past Questions Archive (Record #56494)
Physics
WAEC / WASSCE 2019
Mechanics and Properties of Matter
Solution
(a) The diagram above illustrates a projectile motion. Identify each of the physical quantities labeled P, \beta, H and R.
(b) Write an equation to show the relationship between P, g and Rmax’ where g is the acceleration due to gravity and Rmax is maximum R.
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
The expected answer is
(a) Identification of labelled physical quantities
P - initial velocity/ velocity of projection
b - angle of projection
H - maximum height reached
R - range/horizontal distance (covered)
(b) Equation showing relationship between P, g and Rmax
Rmax = \(\frac{p^2}{g}\)
Source: Myschool Past Questions Archive (Record #56496)
Physics
WAEC / WASSCE 2019
Thermal Physics
Solution
State three observable phenomena in which waves behave like a particle.
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
Observable phenomena in which waves behave like a particle
- reflection;
- refraction;
- diffraction;
- polarization;
- interference;
- Compton effect;
- blackbody radiation
Source: Myschool Past Questions Archive (Record #56501)
Physics
WAEC / WASSCE 2019
Electricity and Magnetism
Solution
List three magnetic elements that determine the earth’s magnetic field at a point.
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
Magnetic elements that determine the earth’s magnetic field at a point
- Angle of dip/inclination
- angle of declination/variation
- horizontal component of the earth’s magnetic field
Source: Myschool Past Questions Archive (Record #56502)
Physics
WAEC / WASSCE 2019
Electricity and Magnetism
Solution
Explain each of the following terms as used in Electronics.
(a) free electrons;
(b) holes.
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
Explanation of terms
(a) Free electrons; Negative charge carriers
(b) Holes; Positive charge carriers
Source: Myschool Past Questions Archive (Record #56510)
Physics
WAEC / WASSCE 2019
Waves and Optics
Solution
(a) State the principle of operation of fibre optics.
(b) State two applications of fibre optics in medicine.
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
(a) Principle of operation of fibre optics - Total internal reflection of light
(b) Applications of fibre optics in medicine
As:
- light guides
- imaging tools
- laser for surgery
Source: Myschool Past Questions Archive (Record #56511)
Physics
WAEC / WASSCE 2019
Mechanics and Properties of Matter
Solution
(a) Define diffusion
(b) State two factors that affect the rate of diffusion
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
(a) Definition of diffusion; The process by which molecules of different substances move randomly among one another.
OR
Intimate mixing of molecules/atoms/particles of different substance (as a result of kinetic energy)
(b) Factors that affect the rate of diffusion
- density of substance
- mass of substance
- temperature
Source: Myschool Past Questions Archive (Record #56512)
Physics
WAEC / WASSCE 2019
Mechanics and Properties of Matter
Solution
(a) (i) State Newton’s Law of Universal Gravitation.
(ii) Define gravitational field.
(b) (i) Derive the equation relating the universal gravitational constant, G, and the acceleration of free fall, g, at the surface of the earth from Newton’s law of universal gravitation.
(ii) State two assumptions for which the relationship in 8(b)(i) holds.
(c) Calculate the force of attraction between a star of mass 2.00 x 1030 kg and the earth assuming the star is located 1.50 x 108 km from the earth. [Mass of the earth = 5.98 x 1024kg; G = 6.67 x 10-11N m\(^{2}\) kg-2; g = 10 m s\(^{-2}\)
(d) (i) Define escape velocity.
(ii) State two differences between the acceleration of free fall (g) and the universal gravitational constant (G).
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
(a) (i) Newton’s law of Universal Gravitation; Any two bodies in the universe attract each other with a force that is (directly) proportional to the product of their masses and inversely proportional to the square of the distance between them.
(ii) Definition of gravitational field; A region/space in which gravitational force is felt / experienced.
(b) (i) Derivation of the equation relating G and g at the surface of the earth
F = \(\frac{GMm}{R^2}\)
mg = \(\frac{GMm}{R^2}\)
g = \(\frac{GM}{R^2}\)
(ii) Assumptions for which equation holds;
- mass of the earth is concentrated at its centre
- earth is spherical
- earth is not rotating
- possesses uniform density.
(c) Calculation of the force of attraction between a star and the earth;
F = \(\frac{GM_sM_e}{r_2}\)
= 6.67 x 10\(^{11}\) [\(\frac {(2 \times 10^{30}) (5.98 \times 10^{24})} {(1.5 \times 10^{11})^2}\)]
= 3.55 x 10\(^{22}\)N
(d) (i) Definition of escape velocity; The minimum uni-directional speed/velocity required by a body to leave the gravitational field/influence of a planet
(ii) Differences between acceleration of free fall (g) and universal gravitational constant (G)
g
G
Its unit is N m2 kg-2
Its unit is m s-2 / N kg-1
It is constant everywhere
It varies from place to place
It is a scalar quantity
It is a vector quantity
Source: Myschool Past Questions Archive (Record #56513)
Physics
WAEC / WASSCE 2019
Mechanics and Properties of Matter
Solution
(a) (i) Explain latent heat.
(ii) State two factors that affect the rate of evaporation of a liquid
(b) Explain each of the following observations:
(i) On a dry day, water in a clay pot is cooler than water in a closed plastic container;
(ii) Food gets cooked faster in a pressure cooker than in an ordinary cooking pot.
(c) State two effects of heat on a substance.
(d) A 40 V electric heater is used to supply a current of 12 A for 1400 s to a body of mass 1.5 kg at the melting point of the body. The body melts and its temperature rises through 60\(^o\)C in an extra 72 s. Determine the:
(i) latent heat of fusion of the body;
(ii)specific heat capacity of the body.
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
(a)(i) Explanation of latent heat
When a substance is changing state, it absorbs/gives out thermal/heat energy which does not result in temperature change. This heat absorbed or given out during change of state is known as latent heat.
(ii) Factors that affect the rate of evaporation of a liquid
- exposed surface area of the liquid
- temperature of the liquid
- wind / draught
- humidity / amount of water vapour
- nature of the liquid
- air pressure.
(b) Explanation of observations
(i) Water in a clay pot is cooler than water in a closed plastic container
The clay pot has pores which allow evaporation to take place. In the process of evaporation, molecules take latent heat from the bulk of the water, leaving the water cooler; but the plastic container does not have pores (to allow for evaporation).
(ii) Food gets cooked faster in a pressure cooker than in an ordinary cooking pot
With the pressure cooker, increased pressure raises the boiling point of water within a short period. This leads to faster cooking. Ordinary cooking pot operates at normal atmospheric pressure.
(c) Effects of heat on a substance
Change of/in:
- state
- temperature
- dimension
- colour
- electrical resistance
(d) (i) Determination of latent heat of fusion of the body
Heat supplied by electric heater in the first 1400 s
IVt\(_1\) = mlf
mlf = 12 x 40 x 1400
= 6.72 x 105J
(ii) Determination of Specific heat capacity of the body
IVt\(_2\) = mc\(\Delta \theta\)
c = \(\frac{IVt_2}{m \Delta \theta}\) = \(\frac{12 \times 40 \times 72}{1.5 \times 60}\)
= 384 Jk\(^{-1}\) K\(^{-1}\)
Source: Myschool Past Questions Archive (Record #56609)
Physics
WAEC / WASSCE 2019
Mechanics and Properties of Matter
Solution
(a) (i) Define force and state its S.I unit.
(ii) List the two types of solid friction.
(b) A car travelling at a constant speed of 30 ms-1 for 20 s was suddenly decelerated when the driver sighted a pot-hole. It took the driver 6 s to get to the pot-hole with a reduced speed of 18 ms-1. He maintained the steady speed for another 10 s to cross the pot-hole. The brakes were then applied and the car came to rest 5 s later.
(i) Draw the velocity-time graph for the journey.
(ii) Calculate the deceleration during the last 5 s of the journey.
(iii) Calculate the total distance covered.
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
(a) (i) Definition of force
Action/push/pull that changes/tends to change the state of rest or of uniform motion in straight line. Its unit is newton (N)
(ii) Types of solid friction
- dynamic (friction)
- static (friction)
(b) (i) Velocity-time graph for journey
Source: Myschool Past Questions Archive (Record #56611)