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Physics
WAEC / WASSCE 1999
Current Electricity & Electric Circuits
Solution
Explain plane polarisation of light
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
In plane polarisation of light, the vibrations are made to vibrate only in one plane perpendicular to the direction of the light. It is used in polaroids.
Source: Myschool Past Questions Archive (Record #54656)
Physics
WAEC / WASSCE 1999
Linear Motion, Projectiles & Kinematics
Solution
A stone is projected horizontally from the top of a tower with a speed of 5ms-1. It lands on the ground level at a horizontal distance of 20m from the foot of the tower. Calculate the height of the tower. (g = 10ms\(^{-2}\))
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
H = \(\frac{1}{2} gt^2\) S = ut
t = \(\frac{5}{u} = \frac{20}{5} = 45\)
H = \(\frac{1}{2}gt^2 = \frac{1}{2} \times 10 x 4^2\)
= 80m
Source: Myschool Past Questions Archive (Record #54657)
Physics
WAEC / WASSCE 1999
Current Electricity & Electric Circuits
Solution
In an electrolysis experiment, the ammeter records a steady current of 1A. The mass of copper deposited is 0.66g in 30 minutes. Calculate the error in the ammeter reading (Electrochemical equivalent of copper = 0.00033g C\(^{-1}\)).
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
Mass deposited = 21t
I = \(\frac{m}{2t} = \frac{0.66}{33 \times 10^{-5} \times 30 \times 60}\)
= 1.11A
error = 1.11 - 1
= 0.11A
Source: Myschool Past Questions Archive (Record #54658)
Physics
WAEC / WASSCE 1999
Elasticity, Density, Pressure & Fluids
Solution
(a) What is surface tension?
(b) State two methods by which the surface tension of a liquid can be reduced.
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
(a) Surface tension is the force per unit length acting at right angle to one of a line drawn in the surface.
(b) By adding detergents, soap or oil. By heating the liquid.
Source: Myschool Past Questions Archive (Record #54660)
Physics
WAEC / WASSCE 1999
Elasticity, Density, Pressure & Fluids
Solution
(a) Define Young's modulus.
(b) State the physical quantities one has to measure in order to determine the Young's modulus of a wire.
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
(a) Young's Modulus is the ratio of tensile stress to tensile strain
(b) Length of wire, extension of wire, load used, diameter of wire.
Source: Myschool Past Questions Archive (Record #54661)
Physics
WAEC / WASSCE 1999
Current Electricity & Electric Circuits
Solution
(a) What is the principle upon which the lighting in fluorescent tubes operate?
(b) State two factors on which the colour of light from a fluorescent tube depends.
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
(a) Electrical discharge through low pressure gas
(b)
- Nature of the gas in the tube
- Nature of the coating d inside the tube.
Source: Myschool Past Questions Archive (Record #54662)
Physics
WAEC / WASSCE 1999
Current Electricity & Electric Circuits
Solution
(a) List two types of waves, apart from light, that can be plane polarised
(b) State two applications of plane polarised light.
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
(a) \(_gamma\) - rays. X - rays, radio waves, infra-red.
- To determine the concentration of sugar solution
- In polaroids used in sun glasses to reduce the intensity of incident sunlight glare from reflecting surfaces.
Source: Myschool Past Questions Archive (Record #54664)
Physics
WAEC / WASSCE 1999
Elasticity, Density, Pressure & Fluids
Solution
(a) State Hooke's law of elasticity
(b) A spiral spring, loaded with a piece of metal, extends by 10.5cm hair. When the metal is fully submerged in water, the spring extends by 6.8cm. Calculate the relative density of the metal. (Assume Hooke's law is obeyed).
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
(a) Hooke's law states that the force applied on an elastic materal is proportional to its extension, provided the elastic limit is not exceeded
(b) R.D = \(\frac{\text{weight in air}}{\text{upthrust}} = \frac{10}{10.5 - 6.8} = \frac{10.5}{3.7} = 2.84\)
Source: Myschool Past Questions Archive (Record #54665)
Physics
WAEC / WASSCE 1999
Current Electricity & Electric Circuits
Solution
(a) Explain electrolysis
(b) Classify the following substances as electrolytes and non-electrolytes: Sugar solution: paraffin, suit solution and grape fruit juice.
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
(a) This is the process by which a solution or a molten substance is broken down into the component parts by the passage of an electric current through it.
(b) \(\frac{Electrolytes}{\text{salt solution}}\) = \(\frac{\text{non - electrolytes}}{\text{Sugar solution}}\)
grape fruit juice paraffin
Source: Myschool Past Questions Archive (Record #54666)
Physics
WAEC / WASSCE 1999
Gas Laws & Heat Transfer
Solution
(a) State Heisenberg's uncertainty principle.
(b) Mention two phenomena that can only be explained in terms of the particulate nature of light.
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
(a) Heinsenberg's uncertainty principle states that it is impossible to determine simultaneously the exact position and exact momentum of a particle
(b) Black body radiation - Photo electricity.
Source: Myschool Past Questions Archive (Record #54669)
Physics
WAEC / WASSCE 1999
Equilibrium of Forces, Moments & Flotation
Solution
(a) State the conditions for the equilibrium of a rigid body acted upon by parallel forces
(b)(i) Describe an experiment, using the principle of moments, to determine the mass of a metre rule
(ii) State two precautions necessary to ensure accurate results.
(c) A bullet of mass 120g is fired horizontally into a fixed wooden block with a speed of 20ms\(^{-1}\). The bullet is brought to rest in the block in 0.1s by a constant resistance. Calculate the:
(i) magnitude of the resistance;
(ii) distance moved by the bullet in the wood.
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
(a) - Sum of forces in one direction is equal to the sum of forces in opposite direction. - Sum of anti-clockwise moments about a point is equal to the sum of clockwise moment about the same point.
(b) Diagram:
Method: Suspend the metre rule on a knife edge. Adjust its position until it balances horizontally. Note the balance point G. Then suspend a mass M on one side of the rule. Adjust the rule until it balances horizontally again. Read and record X and Y as in the diagram above. According to the principle of moment:
Mgx = Mgy
m = \(\frac{Mgy}{gx} = \frac{My}{x}\)
m = mass of rule
Precautions
- Avoid drought
- Avoid parallax in reading the metre rile
(c)(i) Deceleration a = \(\frac{u - v}{t} = \frac{20 - 0}{0.1}\) = 200ms
Resistance = ma = 0.12 x 200 = 24N
(ii) Distance, s \(\frac{u^2 - v^2}{2a} = \frac{20^2 - O^2}{2 \times 200} = \frac{400}{400}\)
= 1.0m
Source: Myschool Past Questions Archive (Record #54670)
Physics
WAEC / WASSCE 1999
Work, Energy, Power & Simple Machines
Solution
(a) Explain (i) work: (ii) power
(b) Show that the efficiency E, the force ratio M.A. and the velocity ratio V.R. of a machine are related by the equation: E = M.A. x 100% V.R.
(c) An inclined plane of angle 15^\circ is used raise a load of 4500N through a height of 2m. If the plane is 75% efficient calculate:
(i) velocity ratio of the plane;
(ii) work done on the load
(d) Explain Charles' law using the Kinetic theory of matter.
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
(a)(i) Work is the product of force and distance moved in the direction of the force
(ii) Power is the time rate of doing work. Unit of power is watts or J / sec.
(b) E = \(\frac{\text{Work output}}{\text{work input}}\) x 100% work input
E = \(\frac{\text{load x distance moved by load}}{\text{effort x distance moved by effort}}\)
But Ma = \(\frac{Load}{effort}\) and V.R = \(\frac{\text{distance moved by effort}}{\text{Effort distance moved by load}}\)
E = \(\frac{MA}{1} \times \frac{1}{VR}\) x 100%
E = \(\frac{MA}{V.R}\) x 100%
(c)(i) VR = \(\frac{1}{sin \theta}\) = \(\frac{1}{sin 45^o} = \frac{1}{0.2588}\) = 3.86
75% = \(\frac{9000}{Win}\) x 100%
Win = \(\frac{9000 \times 100}{75}\) = 12,000J
work input = 12000 J.
(d) At constant pressure, the number of collision per unit time is constant. An increase in temperature causes average Kinetic energy increases. The molecules then move faster. The volume therefore increases so as to maintain the number of collision per unit time.
Source: Myschool Past Questions Archive (Record #54672)
Physics
WAEC / WASSCE 1999
Reflection, Refraction & Dispersion of Light
Solution
(a) State three properties of waves
(b)(i) Describe, with the aid of a labelled diagram, an experiment to show how the frequency of the note emitted by a vibrating string depends on the tension in the string
(ii) State two precautions necessary to ensure accurate results.
(c) Draw a ray diagram showing how a virtual image of an object is formed by a concave mirror.
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
(a) Reflection, refraction, polarisation
= 3.86 9000 Win
(b)(i)
Method: Keep the distance AB constant and tight. Sound fork of known frequency F and pluck the string in the middle. Then add load to scale pan until resonance occurs. Record the load in the scale pan and the corresponding frequency. Repeat the experiment for about four tuning forks of known frequencies. Graph: Plot a graph of frequency, F against the square root of the load. Observation: The straight line graph passing through the origin shows that frequency is proportional to the square root of tension (load). F \(\alpha\) T
Precautions:
- Sonometer wire is firmly fixed.
- Strike the tuning fork on a pad
(c)
Source: Myschool Past Questions Archive (Record #54673)
Physics
WAEC / WASSCE 1999
Magnetism, Electromagnetism & AC Circuits
Solution
(a) Sketch the magnetic flux pattern around a long; straight, current-carrying wire
(b) State two methods by which the sensitivity of a moving-coil galvanometer can be increased.
(c) A series RLC circuit comprises a 100-\(\Omega\) resistor, a 3-H inductor and a 4-\(\mu\)f capacitor. The a.c source of tile circuit has an e.m.f of 100V and a frequency of 160 Hz.
(i) Draw the circuit diagram of the arrangement. Calculate the:
(ii) capacitive reactance;
(iii) inductive reactance:
(iv) impedance of the circuit;
(v) current in the circuit;
(vi) average power dissipated in the circuit.
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
(a)
(b) The sensitivity is increased by a weak spring and increasing the strength of the magnet C
(c)(i)
(ii) X = \(\frac{1}{2 \pi FC} = \frac{1}{2 \pi \frac{160}{\pi} \times 4}\) = 781\(\Omega\)
(iii) X\(_L\) = 2\(\pi\)fL = 2\(pi\) x \(\frac{160}{\pi}\) x 3 = 960\(\Omega\)
(iv) Z = \(\sqrt{R^2 + (X_L - X_c)^2} = \sqrt{100^2 + (960 - 781)^2}\) = 205\(\Omega\)
(v) I = \(\frac{v}{z} = \frac{100}{205} = 0.49A\)
(vi) P = I\(^2R\) = (0.49)\(^{2}\) x 100
= 23.795 W = 24W
Source: Myschool Past Questions Archive (Record #54674)
Physics
WAEC / WASSCE 1999
Atomic, Quantum, Nuclear Physics & Electronics
Solution
(a) Explain: (i) Fusion. (ii) Fission.
(b) State three advantages of fusion over fission in the generation of power
(c) Calculate in joules, the binding energy for
\(\frac{59}{27}\) Co
(Atomic mass of \(^{59}_{2} Co\) = 58.9332 u)
(Mass of proton = 1.00783u)
(Mass of neutron = 1.00867 u)
(Unified atomic mass unit, U = 931 MeV)
(1 eV = 1.6 x 10\(^{-19}\) J)
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
(a)(i) Fusion is the coming together of two light nuclei to form a heavier nucleus with the release of large amount of energy
\(^2_1H + ^3_1H \to ^4_2He\) + energy
(ii) Fission is the breaking up of heavy nucleus into two nuclei of comparable masses when bombarded with neutrons releasing energy and neutrons in the process.
\(^{235}_{92}U + ^1_0n \to ^{90}_{36}kr + ^{144}_{56}Ba + 2^1_0H + energy)\)
(b) - Binding materials are cheap and easy to come by
- it produces less dangerous products.
- There is no e mass of hydrogen that can be obtained
(c) Bonding energy = Mass of (Protons + neutron) - atomis mass = 27(1.00783u) + 32(1.00867u) - 58.93332 u
= 27.21121u + 32.27744u - 58.9332 u
= 59.48865 u - 58.9332 u
= 0.55545 u
= 0.55545 x 931 MeV = 517.12 x 10\(^6\) eV
= 517.12 x 10\(^6\) x 1.6 x 10\(^{19}\) J
= 8.27 x 10\(^{-11}\)J.
Source: Myschool Past Questions Archive (Record #54680)