waec model questions vol1 2024 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 2024 physics (Objective) questions designed to simulate the real exam environment.

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Question 1 View Details
A beam of light passes from air into a glass medium with a refractive index of 1.5. If the angle of incidence in air is 30 degrees, calculate the angle of refraction in the glass. Then, determine the critical angle for total internal reflection at the air-glass interface.
A. 20.5 degrees for angle of refraction; 45.0 degrees for critical angle.
B. 21.0 degrees for angle of refraction; 43.2 degrees for critical angle.
C. 18.3 degrees for angle of refraction; 39.5 degrees for critical angle.
Correct D. 19.1 degrees for angle of refraction; 41.8 degrees for critical angle.

Correct Answer: D

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Question 2 View Details
A wave travels through a medium with a speed of 340 m/s and has a frequency of 170 Hz. Calculate the wavelength of the wave. If the medium is changed and the speed increases to 510 m/s while maintaining the same frequency, what will be the new wavelength?
A. 2.5 m for the first medium; 2.8 m for the second medium.
B. 1.5 m for the first medium; 4 m for the second medium.
C. 3.5 m for the first medium; 5 m for the second medium.
Correct D. 2 m for the first medium; 3 m for the second medium.

Correct Answer: D

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Question 3 View Details
A tuning fork produces a sound wave with a frequency of 440 Hz. If the speed of sound in air is 340 m/s, calculate the wavelength of the sound wave. If the frequency is increased to 880 Hz, what will be the new wavelength?
A. 0.8827 m for the first frequency; 0.4414 m for the second frequency.
B. 0.5 m for the first frequency; 0.25 m for the second frequency.
Correct C. 0.7727 m for the first frequency; 0.3864 m for the second frequency.
D. 0.6667 m for the first frequency; 0.3333 m for the second frequency.

Correct Answer: C

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Question 4 View Details
A metal rod is heated from one end, causing a temperature gradient along its length. If the temperature at one end is 100°C and at the other end is 20°C, and the length of the rod is 2 m, calculate the rate of heat transfer through the rod if its thermal conductivity is 50 W/m·K.
A. 1000 W.
B. 2500 W.
Correct C. 2000 W.
D. 1500 W.

Correct Answer: C

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Question 5 View Details
An alpha particle is emitted from a radioactive source with an energy of 5 MeV. Convert this energy into joules and calculate the speed of the alpha particle, given that its mass is approximately 4.0 x 10^-27 kg.
A. 4.0 x 10^7 m/s.
B. 1.5 x 10^7 m/s.
C. 3.0 x 10^7 m/s.
Correct D. 2.0 x 10^7 m/s.

Correct Answer: D

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Question 6 View Details
A car travels 60 km north and then 80 km east. Calculate the resultant displacement of the car from its starting point.
Correct A. 100 km
B. 60 km
C. 80 km
D. 140 km

Correct Answer: A

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Question 7 View Details
A ball is thrown vertically upwards with an initial velocity of 20 m/s. Calculate the maximum height reached by the ball before it starts to fall back down. Assume acceleration due to gravity is -9.8 m/s².
A. 25.00 m
B. 15.00 m
Correct C. 20.41 m
D. 30.00 m

Correct Answer: C

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Question 8 View Details
A beam of light passes from air into water at an angle of incidence of 30 degrees. Calculate the angle of refraction in the water. (Refractive index of water is 1.33).
A. 25.00 degrees
B. 30.50 degrees
Correct C. 22.09 degrees
D. 18.50 degrees

Correct Answer: C

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Question 9 View Details
A circular loop of wire with a radius of 0.1 m is placed in a uniform magnetic field of strength 0.5 T. If the plane of the loop is perpendicular to the magnetic field, calculate the magnetic flux through the loop.
A. 0.0250 Wb
B. 0.0200 Wb
Correct C. 0.0157 Wb
D. 0.0100 Wb

Correct Answer: C

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Question 10 View Details
A lever is used to lift a load of 200 N at a distance of 2 m from the fulcrum. If the effort is applied at a distance of 0.5 m from the fulcrum, calculate the effort required to lift the load.
A. 600 N
Correct B. 800 N
C. 400 N
D. 1000 N

Correct Answer: B

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Question 11 View Details
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. Additionally, if the sound wave travels for 5 seconds, determine the distance it covers during that time.
A. 0.25 m; 850 m
B. 1.0 m; 1700 m
Correct C. 0.5 m; 1700 m
D. 0.5 m; 1500 m

Correct Answer: C

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Question 12 View Details
A lever is used to lift a load of 200 N. If the effort applied is 50 N and the distance from the fulcrum to the effort is 1.5 m, calculate the distance from the fulcrum to the load. Determine if the lever is in equilibrium.
A. 0.5 m; No
B. 0.25 m; Yes
C. 0.5 m; Yes
Correct D. 0.375 m; Yes

Correct Answer: D

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Question 13 View Details
A thermometer reads 25°C. If the temperature increases by 15°C, what will be the new reading in Kelvin? Additionally, calculate the equivalent temperature in Fahrenheit.
A. 315.15 K; 110 °F
B. 300.15 K; 95 °F
Correct C. 313.15 K; 104 °F
D. 310.15 K; 100 °F

Correct Answer: C

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Question 14 View Details
A coil 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 magnetic flux changes from 0.2 Wb to 0.5 Wb in 4 seconds, calculate the induced electromotive force (emf) in the coil. Discuss the implications of Lenz's law in this scenario.
A. -5 V; The induced emf is unrelated to Lenz's law.
Correct B. -15 V; The induced emf opposes the change in magnetic flux.
C. -10 V; The induced emf enhances the change in magnetic flux.
D. -20 V; The induced emf has no effect on the magnetic flux.

Correct Answer: B

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Question 15 View Details
A container holds 2 kg of gas at a pressure of 300 kPa and a volume of 0.5 m³. If the gas is compressed to a volume of 0.25 m³ while maintaining the temperature constant, calculate the new pressure of the gas using Boyle's Law. Discuss the implications of this change in pressure.
A. 450 kPa; The gas molecules are closer together, increasing collision frequency.
B. 750 kPa; The gas molecules are further apart, decreasing collision frequency.
Correct C. 600 kPa; The gas molecules are closer together, increasing collision frequency.
D. 300 kPa; The gas molecules remain at the same distance, maintaining collision frequency.

Correct Answer: C

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Question 16 View Details
A charged particle experiences a force of 5 N in an electric field. If the electric field strength is 200 N/C, calculate the charge of the particle. Additionally, determine the direction of the force if the electric field is directed to the right.
A. 0.020 C, to the left
B. 0.050 C, to the right
C. 0.015 C, to the left
Correct D. 0.025 C, to the right

Correct Answer: D

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Question 17 View Details
The diagram shows a block of mass 10 kg resting on a horizontal surface. A force of 30 N is applied at an angle of 30 degrees to the horizontal. Calculate the normal force acting on the block and the frictional force if the coefficient of friction between the block and the surface is 0.4.
Correct A. 83.1 N, 33.24 N
B. 80.0 N, 30.0 N
C. 75.0 N, 25.0 N
D. 90.0 N, 40.0 N

Correct Answer: A

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Question 18 View Details
A wave travels through a medium with a speed of 340 m/s and has a frequency of 170 Hz. Calculate the wavelength of the wave. If the wave is reflected at a boundary, what will be the frequency of the reflected wave?
A. 3 m, 170 Hz
Correct B. 2 m, 170 Hz
C. 1 m, 170 Hz
D. 2 m, 150 Hz

Correct Answer: B

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Question 19 View Details
A car of mass 1200 kg accelerates from rest to a speed of 25 m/s in 10 seconds. Calculate the work done on the car during this acceleration. Also, determine the power developed by the car's engine during this time.
Correct A. 375000 J, 37500 W
B. 450000 J, 45000 W
C. 300000 J, 30000 W
D. 375000 J, 25000 W

Correct Answer: A

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Question 20 View Details
A parallel plate capacitor has a capacitance of 5 µF and is connected to a 12 V battery. Calculate the charge stored in the capacitor. If the distance between the plates is doubled while keeping the area constant, what will happen to the capacitance?
A. 7 x 10^-5 C, capacitance is halved
Correct B. 6 x 10^-5 C, capacitance is halved
C. 4 x 10^-5 C, capacitance remains the same
D. 5 x 10^-5 C, capacitance is doubled

Correct Answer: B

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Question 21 View Details
A cylindrical container has a height of 1.5 m and a radius of 0.3 m. If the container is filled with water, 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. 16000
B. 12000
C. 13500
Correct D. 14715

Correct Answer: D

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Question 22 View Details
A long straight wire carries a current of 10 A. Calculate the magnetic field strength at a distance of 0.05 m from the wire. Use the formula B = (μ₀ * I) / (2 * π * r), where μ₀ = 4π × 10⁻⁷ Tm/A.
A. 6e-6
B. 8e-6
Correct C. 4e-6
D. 2e-6

Correct Answer: C

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Question 23 View Details
A car travels 60 km north and then 80 km east. Calculate the resultant displacement of the car from its starting point.
A. 110
B. 80
C. 90
Correct D. 100

Correct Answer: D

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Question 24 View Details
A gas occupies a volume of 2.0 m³ at a pressure of 100 kPa. If the volume is reduced to 1.0 m³, what will be the new pressure of the gas, assuming it behaves ideally? Use Boyle's Law.
A. 250
B. 150
Correct C. 200
D. 300

Correct Answer: C

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Question 25 View Details
A circuit consists of a 12 V battery connected in series with a resistor of 4 Ω and a resistor of 6 Ω. Calculate the total current flowing through the circuit.
A. 0.8
B. 1.5
Correct C. 1.2
D. 1.0

Correct Answer: C

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