waec model questions vol1 2025 physics | Objective

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Question 1
A box is pushed across a horizontal surface with a force of 50 N. If the box moves a distance of 10 m and the frictional force opposing the motion is 30 N, calculate the work done on the box by the applied force.
A. 300 J
B. 600 J
Correct C. 500 J
D. 400 J

Correct Answer: C

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

Correct Answer: B

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Question 3
A container holds 5 liters of gas at a pressure of 200 kPa. If the volume of the gas is reduced to 2 liters while keeping the temperature constant, what will be the new pressure of the gas?
A. 300 kPa
Correct B. 500 kPa
C. 600 kPa
D. 400 kPa

Correct Answer: B

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Question 4
In a laboratory setup, a student measures the length of a metal rod using a vernier caliper. The main scale reads 5 cm, and the vernier scale reads 0.6 cm. Calculate the total length of the rod, and illustrate the measurement process.
A. 5.8 cm
Correct B. 5.6 cm
C. 5.2 cm
D. 6.0 cm

Correct Answer: B

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Question 5
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 loop is rotated at a constant angular velocity of 2 rad/s, calculate the induced electromotive force (emf) in the loop.
Correct A. 0.0314 V
B. 0.0628 V
C. 0.0157 V
D. 0.0250 V

Correct Answer: A

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Question 6
A metal rod is heated from 20°C to 80°C. If the rod has a length of 2.0 meters at 20°C and expands uniformly, calculate the change in length of the rod. The coefficient of linear expansion for the metal is 1.2 x 10^-5 /°C.
A. 1.20 mm
B. 2.88 mm
C. 0.96 mm
Correct D. 1.44 mm

Correct Answer: D

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Question 7
A radioactive substance has a half-life of 5 years. If you start with 80 grams of this substance, how much will remain after 15 years? Show your calculations.
A. 20 g
Correct B. 10 g
C. 40 g
D. 5 g

Correct Answer: B

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Question 8
Convert 2500 milliliters to liters and express your answer in decimal form.
A. 2.0 L
Correct B. 2.5 L
C. 2.2 L
D. 3.0 L

Correct Answer: B

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Question 9
An atom has 12 protons and 12 neutrons. Calculate its atomic mass and identify the element.
A. 20, Calcium
Correct B. 24, Magnesium
C. 22, Sodium
D. 26, Aluminum

Correct Answer: B

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Question 10
A force of 50 N is applied to a 10 kg object. Calculate the acceleration of the object and determine if it will move if the frictional force is 20 N.
A. 4 m/s², Yes
B. 5 m/s², Yes
Correct C. 3 m/s², Yes
D. 2 m/s², No

Correct Answer: C

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Question 11
A metal rod is heated from 20°C to 80°C. If the rod has a length of 2 meters at 20°C, calculate the increase in length of the rod, given that the coefficient of linear expansion for the metal is 0.000012 per °C.
A. 1.20 mm
B. 1.60 mm
C. 1.80 mm
Correct D. 1.44 mm

Correct Answer: D

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Question 12
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.
A. 25.0°
B. 15.0°
Correct C. 19.1°
D. 22.5°

Correct Answer: C

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Question 13
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.
A. 0.25 m
B. 1.5 m
Correct C. 0.5 m
D. 1.0 m

Correct Answer: C

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Question 14
A 5 kg block of ice at 0°C is placed in a container with 2 kg of water at 80°C. Assuming no heat loss to the surroundings, calculate the final equilibrium temperature of the system. The specific heat capacity of water is 4.2 kJ/kg°C and the latent heat of fusion of ice is 334 kJ/kg.
A. 15.0°C
Correct B. 20.5°C
C. 30.0°C
D. 25.0°C

Correct Answer: B

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Question 15
A force diagram is provided showing a block on an inclined plane. The block has a mass of 10 kg, the angle of inclination is 30°, and the coefficient of friction between the block and the plane is 0.2. Calculate the net force acting on the block when it is released from rest.
A. 18.75 N
B. 25.00 N
Correct C. 32.08 N
D. 40.50 N

Correct Answer: C

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Question 16
A charged particle is placed in a uniform electric field of strength 200 N/C. If the particle has a charge of 5 µC, calculate the force acting on the particle. Then, determine the work done when the particle is moved 0.5 m in the direction of the electric field.
A. 3 × 10^-4 J
Correct B. 5 × 10^-4 J
C. 4 × 10^-4 J
D. 6 × 10^-4 J

Correct Answer: B

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Question 17
A block of mass 10 kg is resting on a horizontal surface. If a horizontal force of 30 N is applied to the block, and the coefficient of static friction between the block and the surface is 0.4, determine whether the block will move. If it does move, calculate the acceleration of the block.
A. 10 m/s²
Correct B. 0 m/s²
C. 5 m/s²
D. 2 m/s²

Correct Answer: B

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Question 18
A diagram shows a block being lifted vertically by a force of 50 N over a distance of 2 m. Calculate the work done against gravity if the mass of the block is 10 kg. Also, find the total work done if the lifting force is constant and the block is raised at a constant speed.
Correct A. 100 J
B. 150 J
C. 80 J
D. 120 J

Correct Answer: A

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Question 19
A container holds 5 kg of gas at a pressure of 200 kPa. If the volume of the gas is reduced from 0.5 m³ to 0.3 m³, calculate the work done on the gas during this compression process.
Correct A. 40,000 J
B. 30,000 J
C. 50,000 J
D. 20,000 J

Correct Answer: A

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Question 20
A sound wave travels through air at a speed of 340 m/s. If the frequency of the sound wave is 170 Hz, calculate the wavelength of the sound wave. Then, determine the wavelength if the frequency is doubled.
A. 2.5 m, 1.25 m
B. 3 m, 1.5 m
Correct C. 2 m, 1 m
D. 1.5 m, 0.75 m

Correct Answer: C

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Question 21
A car travels 60 km north and then 80 km east. Calculate the resultant displacement of the car from its starting point.
A. 80 km
B. 110 km
C. 90 km
Correct D. 100 km

Correct Answer: D

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Question 22
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.
Correct A. 4
B. 3
C. 2
D. 5

Correct Answer: A

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Question 23
A beam of light passes from air into water at an angle of incidence of 30 degrees. If the refractive index of water is 1.33, calculate the angle of refraction.
A. 30.0 degrees
Correct B. 22.1 degrees
C. 25.3 degrees
D. 18.5 degrees

Correct Answer: B

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Question 24
An object is thrown vertically upward with an initial velocity of 20 m/s. Calculate the maximum height reached by the object, assuming acceleration due to gravity is -9.8 m/s².
A. 25.6 m
B. 15.2 m
Correct C. 20.4 m
D. 30.0 m

Correct Answer: C

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Question 25
A lever is used to lift a load of 300 N with an effort of 75 N. If the distance from the fulcrum to the load is 0.5 m and the distance from the fulcrum to the effort is unknown, calculate the distance from the fulcrum to the effort.
A. 1 m
B. 3 m
Correct C. 2 m
D. 1.5 m

Correct Answer: C

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