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waec model questions vol1 2020 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 2020 physics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

A metal rod is heated from 20°C to 80°C. If the rod expands by 0.5 cm during this process, calculate the coefficient of linear expansion of the metal. Assume the original length of the rod is 100 cm.

A. 1.00e-4

B. 5.00e-5

C. 6.25e-5

Correct D. 8.33e-5

Correct Answer: D

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Question 2

A 5 kg block is resting on a horizontal surface. If a horizontal force of 15 N is applied to the block, calculate the acceleration of the block, assuming the coefficient of friction between the block and the surface is 0.2.

A. 1.500

B. 0.900

C. 0.750

Correct D. 1.038

Correct Answer: D

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Question 3

In a circuit, a 12 V battery is connected to a resistor of 4 Ω and a second resistor of 6 Ω in series. Calculate the total current flowing through the circuit and the voltage drop across each resistor.

A. 1.5 A, 6.0 V, 6.0 V

B. 1.0 A, 4.0 V, 8.0 V

Correct C. 1.2 A, 4.8 V, 7.2 V

D. 0.8 A, 3.2 V, 8.8 V

Correct Answer: C

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Question 4

A parallel circuit consists of three resistors: 2 Ω, 3 Ω, and 6 Ω. Calculate the total resistance of the circuit and the current through each resistor if the total voltage across the circuit is 24 V.

A. 1.5 Ω, 16 A, 10 A, 4 A

Correct B. 1 Ω, 12 A, 8 A, 4 A

C. 3 Ω, 8 A, 4 A, 2 A

D. 2 Ω, 10 A, 6 A, 3 A

Correct Answer: B

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Question 5

A container holds 10 liters of gas at a pressure of 200 kPa and a temperature of 300 K. If the gas is compressed to a volume of 5 liters while maintaining the temperature constant, calculate the new pressure of the gas using Boyle's Law.

A. 250

Correct B. 400

C. 350

D. 300

Correct Answer: B

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Question 6

A student is conducting an experiment to measure the density of a liquid using a graduated cylinder and a balance. The mass of the empty graduated cylinder is 150 g, and the mass of the graduated cylinder filled with the liquid is 250 g. If the volume of the liquid is measured to be 100 cm³, calculate the density of the liquid. Show all your workings.

A. 0.5 g/cm³

B. 2 g/cm³

C. 1.5 g/cm³

Correct D. 1 g/cm³

Correct Answer: D

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Question 7

A thermometer reads 25°C in a room. If the temperature increases by 15°C, what will be the new temperature reading on the thermometer? Explain your reasoning.

A. 50°C

B. 30°C

C. 35°C

Correct D. 40°C

Correct Answer: D

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Question 8

A car travels from point A to point B, covering a distance of 120 km in 2 hours. It then continues from point B to point C, which is 180 km away, at a speed of 90 km/h. Calculate the total time taken for the journey from A to C. Show your calculations.

A. 5 hours

B. 6 hours

Correct C. 4 hours

D. 3 hours

Correct Answer: C

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Question 9

A container holds 5 liters of gas at a pressure of 200 kPa. If the volume of the gas is reduced to 3 liters while keeping the temperature constant, what will be the new pressure of the gas? Use Boyle's Law to solve the problem.

A. 400 kPa

B. 250 kPa

Correct C. 333.33 kPa

D. 150 kPa

Correct Answer: C

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Question 10

An alpha particle is emitted from a radioactive source with an initial activity of 800 Bq. If the half-life of the source is 4 hours, calculate the activity after 12 hours. Show your calculations.

A. 400 Bq

B. 50 Bq

C. 200 Bq

Correct D. 100 Bq

Correct Answer: D

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Question 11

A beam of light passes from air into a glass medium at an angle of incidence of 30 degrees. If the refractive index of glass is 1.5, calculate the angle of refraction in the glass. Additionally, determine the critical angle for total internal reflection at the air-glass boundary.

A. 15.00 degrees for angle of refraction; 50.00 degrees for critical angle.

Correct B. 19.47 degrees for angle of refraction; 41.81 degrees for critical angle.

C. 22.50 degrees for angle of refraction; 45.00 degrees for critical angle.

D. 25.00 degrees for angle of refraction; 35.00 degrees for critical angle.

Correct Answer: B

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Question 12

A box of mass 10 kg is lifted vertically to a height of 5 meters. Calculate the work done against gravity. If the box is then pushed horizontally across a distance of 3 meters with a force of 20 N, determine the total work done on the box.

A. 450 J

B. 600 J

C. 500 J

Correct D. 550.5 J

Correct Answer: D

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Question 13

A vector A has a magnitude of 5 units and is directed at an angle of 60 degrees to the horizontal. Calculate the horizontal and vertical components of vector A.

Correct A. 2.5 units (horizontal), 4.33 units (vertical)

B. 3.0 units (horizontal), 3.0 units (vertical)

C. 2.0 units (horizontal), 5.0 units (vertical)

D. 4.0 units (horizontal), 2.5 units (vertical)

Correct Answer: A

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Question 14

In the diagram, a block of mass 2 kg is resting on a frictionless surface. A force of 10 N is applied at an angle of 30 degrees to the horizontal. Calculate the horizontal and vertical components of the applied force, and determine the net force acting on the block.

A. 6.0 N (net force)

Correct B. 8.66 N (net force)

C. 7.5 N (net force)

D. 9.0 N (net force)

Correct Answer: B

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Question 15

A pendulum of length 2 m swings with a maximum angle of 45 degrees from the vertical. Calculate the height of the pendulum bob at its maximum displacement compared to its lowest point. Also, determine the potential energy at this height if the mass of the bob is 1 kg.

A. 0.707 m height; 6.86 J potential energy

Correct B. 0.586 m height; 5.75 J potential energy

C. 0.500 m height; 4.90 J potential energy

D. 0.400 m height; 3.92 J potential energy

Correct Answer: B

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Question 16

A block of mass 5 kg is placed on a frictionless inclined plane that makes an angle of 30° with the horizontal. Calculate the acceleration of the block down the incline and the net force acting on it.

Correct A. 4.9 m/s², 24.5 N

B. 5.0 m/s², 25.0 N

C. 6.0 m/s², 30.0 N

D. 4.0 m/s², 20.0 N

Correct Answer: A

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Question 17

An atom has a nucleus containing 6 protons and 6 neutrons. If one neutron decays into a proton, what will be the new atomic number and mass number of the atom?

Correct A. 7, 12

B. 7, 10

C. 6, 12

D. 8, 14

Correct Answer: A

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Question 18

A coil of wire with 100 turns is placed in a magnetic field of strength 0.5 T. If the area of the coil is 0.2 m² and the magnetic field is perpendicular to the plane of the coil, calculate the magnetic flux through the coil.

A. 5 Wb

B. 20 Wb

Correct C. 10 Wb

D. 15 Wb

Correct Answer: C

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Question 19

Two point charges, +3 µC and -5 µC, are separated by a distance of 0.1 m in a vacuum. Calculate the magnitude of the electric force between them. (Use Coulomb's law: \( F = k \frac{|q_1 q_2|}{r^2} \), where \( k = 8.99 \times 10^9 \text{ N m}^2/ ext{C}^2 \)).

Correct A. 1.35 N

B. 2.00 N

C. 0.50 N

D. 0.75 N

Correct Answer: A

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Question 20

A beam of light passes from air into a glass medium with a refractive index of 1.5. If the angle of incidence is 30°, calculate the angle of refraction using Snell's law.

A. 25.0°

Correct B. 19.1°

C. 22.3°

D. 15.5°

Correct Answer: B

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Question 21

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 1.2 × 10⁻⁵ °C⁻¹, calculate the change in length of the rod.

A. 1.20 mm

B. 1.80 mm

Correct C. 1.44 mm

D. 1.00 mm

Correct Answer: C

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Question 22

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 0.02 m² and the magnetic field is perpendicular to the plane of the coil, calculate the induced electromotive force (emf) when the magnetic field is reduced to zero in 0.1 seconds.

A. 25 V

Correct B. 20 V

C. 30 V

D. 15 V

Correct Answer: B

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Question 23

A gas expands from an initial volume of 1.5 m³ to a final volume of 3.0 m³ at a constant pressure of 100 kPa. Calculate the work done by the gas during this expansion.

A. 200 kJ

B. 75 kJ

C. 100 kJ

Correct D. 150 kJ

Correct Answer: D

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Question 24

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.

A. 3 m

B. 1 m

Correct C. 2 m

D. 4 m

Correct Answer: C

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Question 25

A thermometer reads 25°C. If the temperature is increased to 75°C, calculate the change in temperature in Kelvin.

A. 45 K

B. 30 K

C. 60 K

Correct D. 50 K

Correct Answer: D

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