waec model questions vol1 2018 physics | Objective

Are you preparing for waec model questions vol1 exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2018 physics (Objective) questions designed to simulate the real exam environment.

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Question 1
A box of mass 10 kg is lifted vertically to a height of 5 meters. Calculate the work done against gravity. Assume the acceleration due to gravity is 9.8 m/s².
Correct A. 490 J
B. 550 J
C. 450 J
D. 500 J

Correct Answer: A

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Question 2
A lever is used to lift a load of 200 N with an effort of 50 N. If the distance from the fulcrum to the load is 0.4 m, calculate the distance from the fulcrum to the effort.
A. 1.4 m
B. 1.2 m
C. 1.8 m
Correct D. 1.6 m

Correct Answer: D

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Question 3
A sound wave travels through air at a speed of 340 m/s. If the frequency of the sound wave is 680 Hz, calculate the wavelength of the sound wave.
Correct A. 0.5 m
B. 0.75 m
C. 1.0 m
D. 0.25 m

Correct Answer: A

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Question 4
A magnetic field is produced by a current-carrying wire. If the current in the wire is increased from 2 A to 6 A, and the distance from the wire to a point in the magnetic field is 0.1 m, calculate the change in the magnetic field strength at that point. Use the formula B = (μ₀ * I) / (2π * r), where μ₀ = 4π × 10⁻⁷ Tm/A.
A. 4 × 10⁻⁶ T
B. 6 × 10⁻⁶ T
C. 12 × 10⁻⁶ T
Correct D. 8 × 10⁻⁶ T

Correct Answer: D

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Question 5
A metal rod of length 2 m is heated at one end. If the temperature at the heated end is 100 °C and the temperature at the other end is 20 °C, calculate the rate of heat transfer through the rod if the thermal conductivity of the metal is 200 W/m·K.
A. 6000 W
Correct B. 8000 W
C. 10000 W
D. 4000 W

Correct Answer: B

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Question 6
A container with a cross-sectional area of 0.5 m² is filled with water to a height of 2 m. Calculate the pressure exerted by the water at the bottom of the container. Assume the density of water is 1000 kg/m³ and use g = 9.81 m/s² for gravitational acceleration.
A. 15000 Pa
Correct B. 19620 Pa
C. 18000 Pa
D. 21000 Pa

Correct Answer: B

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Question 7
A beam of light passes from air into a glass medium at an angle of incidence of 30°. If the refractive index of glass is 1.5, calculate the angle of refraction. Use Snell's law for your calculations.
A. 25.00°
B. 15.00°
Correct C. 19.47°
D. 22.30°

Correct Answer: C

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Question 8
A car accelerates uniformly from rest to a speed of 25 m/s in 10 seconds. Calculate the distance covered by the car during this time. Also, determine the average speed of the car during the acceleration.
A. 100 m
Correct B. 125 m
C. 200 m
D. 150 m

Correct Answer: B

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Question 9
A thermometer reads 25°C. Convert this temperature to Kelvin and then to Fahrenheit. Show your calculations.
A. 290 K, 75°F
B. 275 K, 70°F
Correct C. 298.15 K, 77°F
D. 300 K, 80°F

Correct Answer: C

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Question 10
A pulley system consists of a fixed pulley and a movable pulley. If a force of 50 N is applied to lift a load of 200 N, calculate the mechanical advantage of the system. Also, determine the efficiency if the system is 80% efficient.
A. 3, 70%
B. 2, 60%
C. 5, 90%
Correct D. 4, 80%

Correct Answer: D

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Question 11
A metal rod of length 2 m and cross-sectional area 0.01 m² is heated from 20°C to 80°C. If the coefficient of linear expansion of the metal is 2 × 10⁻⁵ °C⁻¹, calculate the increase in length of the rod.
A. 2.0 mm
Correct B. 2.4 mm
C. 3.0 mm
D. 1.8 mm

Correct Answer: B

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Question 12
A wave travels along a string with a speed of 300 m/s and has a frequency of 150 Hz. Calculate the wavelength of the wave.
Correct A. 2 m
B. 3 m
C. 1.5 m
D. 4 m

Correct Answer: A

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Question 13
A coil of wire with 200 turns is placed in a magnetic field of strength 0.5 T. If the area of the coil is 0.1 m² and the angle between the normal to the coil and the magnetic field is 30°, calculate the magnetic flux through the coil.
A. 5.00 Wb
Correct B. 8.66 Wb
C. 6.00 Wb
D. 10.00 Wb

Correct Answer: B

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Question 14
A sound wave travels through air at a speed of 340 m/s. If the wavelength of the sound wave is 0.85 m, calculate the frequency of the sound wave.
A. 500 Hz
B. 450 Hz
C. 300 Hz
Correct D. 400 Hz

Correct Answer: D

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Question 15
A vector A has a magnitude of 5 units and is directed along the positive x-axis. Another vector B has a magnitude of 3 units and is directed at an angle of 60° to vector A. Calculate the magnitude of the resultant vector R when vectors A and B are added together.
A. 9 units
B. 8 units
Correct C. 7 units
D. 6 units

Correct Answer: C

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Question 16
A student is conducting an experiment to measure the density of a liquid using a graduated cylinder and a balance. The mass of the liquid is found to be 150 grams, and the volume is measured to be 200 cm³. Calculate the density of the liquid and explain the significance of the units used in your answer.
A. 1.20 g/cm³
Correct B. 0.75 g/cm³
C. 0.90 g/cm³
D. 0.60 g/cm³

Correct Answer: B

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Question 17
A metal rod is heated uniformly from one end. If the temperature at the heated end is 100°C and the temperature at the other end is 20°C, calculate the temperature gradient along the rod if its length is 2 meters.
A. 30 °C/m
B. 50 °C/m
C. 70 °C/m
Correct D. 40 °C/m

Correct Answer: D

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Question 18
A sound wave travels through air at a speed of 340 m/s. If the frequency of the sound wave is 680 Hz, calculate the wavelength of the sound wave and explain the relationship between speed, frequency, and wavelength.
A. 0.25 m
B. 0.75 m
C. 1.0 m
Correct D. 0.5 m

Correct Answer: D

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Question 19
A circular loop of wire with a radius of 0.1 m is placed in a magnetic field of strength 0.5 T. If the current flowing through the wire is 2 A, calculate the magnetic force acting on the wire and discuss the factors that affect this force.
A. 0.314 N
B. 0.785 N
Correct C. 0.628 N
D. 1.256 N

Correct Answer: C

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Question 20
In a force diagram, a block of mass 5 kg is resting on a horizontal surface. If a horizontal force of 20 N is applied to the block, calculate the acceleration of the block. Additionally, consider the effect of friction if the coefficient of friction between the block and the surface is 0.3.
A. 2.4 m/s²
B. 0.8 m/s²
Correct C. 1.056 m/s²
D. 0.5 m/s²

Correct Answer: C

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Question 21
A circuit consists of a 12 V battery connected in series with a resistor of 4 Ω and a second resistor of unknown resistance. If the total current flowing through the circuit is 2 A, calculate the resistance of the unknown resistor.
Correct A. 2 Ω
B. 1 Ω
C. 3 Ω
D. 4 Ω

Correct Answer: A

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Question 22
A metal rod of length 2 m is heated from 20 °C to 80 °C. If the coefficient of linear expansion of the metal is 1.2 × 10^-5 °C^-1, calculate the increase in length of the rod.
Correct A. 1.44 mm
B. 0.96 mm
C. 1.20 mm
D. 2.88 mm

Correct Answer: A

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Question 23
An atom has a nucleus that contains 6 protons and 6 neutrons. If one neutron decays into a proton and an electron, what will be the new atomic number and mass number of the atom?
A. Atomic number: 8, Mass number: 11
B. Atomic number: 6, Mass number: 12
Correct C. Atomic number: 7, Mass number: 12
D. Atomic number: 7, Mass number: 10

Correct Answer: C

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Question 24
A radioactive substance has a half-life of 5 years. If you start with 80 grams of the substance, how much will remain after 15 years?
Correct A. 10 grams
B. 5 grams
C. 40 grams
D. 20 grams

Correct Answer: A

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Question 25
A lever is used to lift a load of 200 N. If the distance from the fulcrum to the point where the load is applied is 0.5 m and the distance from the fulcrum to the point where the effort is applied is 1.5 m, calculate the effort required to lift the load.
A. 50 N
B. 75 N
C. 100 N
Correct D. 66.67 N

Correct Answer: D

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