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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)
Physics
WAEC / WASSCE 2019
Mechanics and Properties of Matter
Solution
The diagram above illustrates a structure of a typical photocell.
(i) Identify each of the parts labelled A and B.
(ii) State one function each of A and B
(iii) Einstein’s photoelectric equation can be written as E = hf – Wo. State what each of the terms E, hf and Wo represent.
(b) A photon is incident on a metal whose work function is 1.32 eV. An electron is emitted from the surface with a maximum kinetic energy of 1.97 eV. Calculate the frequency of the photon. [1 eV = 1.6 x 10-19 J]
(c)(i) Define half-life of a radioactive element.
(ii) Sketch a graph of the relation N = Noe-\lambdat and indicate the half-life.
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
The expected answer is:
(a) (i) Identification of labelled parts of photocell
A - Emitter / cathode
B - Collector / anode
(ii) Function of part of photocell
A - emits electrons
B - attracts electrons
(iii) Meaning of terms in Einstein’s photoelectric equation
E - kinetic energy of photoelectrons
hf - energy of incident photon
Wo - work function of metal
Source: Myschool Past Questions Archive (Record #56612)
Physics
WAEC / WASSCE 2019
Heat Energy & Temperature
Which of the following quantities is a vector?
A
Volume
B
Momentum
C
Energy
D
Speed
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 #58780)
Physics
WAEC / WASSCE 2019
Electricity and Magnetism
The induced current in a coil always flows in a direction so as to oppose the change that causes it. This statement is known as
A
Coulomb's law
B
Lenz's law
C
Faraday's law
D
Ampere's law
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 #58785)
Physics
WAEC / WASSCE 2019
Electricity and Magnetism
Which of the following instruments can be used to compare the magnitudes of charges on two given bodies?
A
Electrophorus
B
Ebonite rod
C
Gold-leaf electroscope
D
Proof planes
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 #58787)
Physics
WAEC / WASSCE 2019
Mechanics and Properties of Matter
Solution
A body of mass 2 kg is released from a point 100 m above the ground. Calculate its kinetic energy 80m from the point of release.
A
1600 J
B
900 J
C
600 J
D
200 J
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
K.E = mgh
but h = 80m, m = 2kg, g = 10m/s^2
K.E = 2 x 10 x 80 = 1600J.
Source: Myschool Past Questions Archive (Record #58793)
Physics
WAEC / WASSCE 2019
Mechanics and Properties of Matter
The time rate of increase in velocity is called
A
force
B
momentum
C
acceleration
D
speed
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 #58778)
Physics
WAEC / WASSCE 2019
Waves and Optics
Which of the following waves is not mechanical?
A
Waves in pipes
B
Water waves
C
Radio waves
D
Sound waves
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 #58800)
Physics
WAEC / WASSCE 2019
Mechanics and Properties of Matter
Solution
A loaded spring is set in simple harmonic motion. The force that tends to restore the load to its equilibrium position is
A
adhesive
B
elastic
C
frictional
D
gravitational
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Elastic Force: This is the force exerted by the spring when it is compressed or stretched. It is the elastic force that directly acts to restore the spring to its equilibrium position.
Source: Myschool Past Questions Archive (Record #58801)
Physics
WAEC / WASSCE 2019
Waves and Optics
Which of the following cases cannot produce total internal reflection? A light ray travelling from
A
glass to water
B
kerosene to air
C
air to water
D
water to ice
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 #58805)
Physics
WAEC / WASSCE 2019
Thermal Physics
Solution
The vacuum in a thermoflask reduces heat loss resulting from
A
radiation only
B
conduction and convection only
C
radiation and convection only
D
conduction only
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
The vacuum of a thermos flask prevents heat loss by conduction and convection, conduction because vacuum is a poor conductor of heat, convention because
the space between the walls is a vacuum which reduces the heat loss due to conduction and convection. if there is any atmospheric air or material between then there will be some amount of heat transfer through the conduction and convection
Source: Myschool Past Questions Archive (Record #58807)
Physics
WAEC / WASSCE 2019
Thermal Physics
Solution
Calculate the quantity of heat needed to change the temperature of 60g of ice at 0 ^\circC to 80 ^\circC. [specific latent heat of fusion of ice= 3.36 x 10\(^5\) Jkg\(^{-1}\) specific heat capacity of water 4.2 x 10\(^3\) J kg\(^{-1}\) K\(^{-1}\)]
A
4.80 kJ
B
20.16 kJ
C
40.32 kJ
D
22.17 kJ
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Heat needed to change 60g (0.06kg) of ice at 0\(^o\)C to water at 0\(^o\)
= 0.06 x 3.36 x 10\(^5\)J
= 0.2016 x 10\(^5\) J
Heat required to raise the temp. of 60g (0.06kg) of water from 0\(^o\)C to 80\(^o\)C
= 0.06 x 4.2 x 10\(^3\) x (80.0)J
= 0.06 x 4.2 x 10\(^3\) x 80
= 20.16 x 10\(^3\)
= 0.2016 x 10\(^5\)
Total heat needed = (0.2016 + 0.2016) 10\(^5\)J
= 0.4032 x 10\(^5\) J
= 40.32KJ
Source: Myschool Past Questions Archive (Record #58857)