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waec model questions vol1 2022 physics | Objective

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Question 1 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. 90 km

Correct B. 100 km

C. 80 km

D. 110 km

Correct Answer: B

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Question 2 View Details

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.

A. 3 m

Correct B. 2 m

C. 1 m

D. 4 m

Correct Answer: B

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Question 3 View Details

A force of 200 N is applied to a surface area of 0.5 m². Calculate the pressure exerted on the surface.

A. 200 Pa

Correct B. 400 Pa

C. 300 Pa

D. 500 Pa

Correct Answer: B

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Question 4 View Details

A vector A has a magnitude of 10 units and makes an angle of 30° with the positive x-axis. Calculate the x and y components of vector A.

A. A_x ≈ 9 units, A_y = 4 units

Correct B. A_x ≈ 8.66 units, A_y = 5 units

C. A_x ≈ 8 units, A_y = 5.5 units

D. A_x ≈ 7 units, A_y = 6 units

Correct Answer: B

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Question 5 View Details

A cylinder has a height of 2 m and a base radius of 0.5 m. Calculate the pressure at the base of the cylinder if the density of the liquid inside is 800 kg/m³.

A. 14000 Pa

Correct B. 15696 Pa

C. 12000 Pa

D. 18000 Pa

Correct Answer: B

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Question 6 View Details

In a laboratory setup, a student measures the mass of a liquid using a balance and finds it to be 250 grams. The volume of the liquid is measured to be 300 cm³. Calculate the density of the liquid and express your answer in kg/m³.

Correct A. 833.33

B. 1000.00

C. 500.00

D. 750.00

Correct Answer: A

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Question 7 View Details

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?

A. 40

B. 20

C. 5

Correct D. 10

Correct Answer: D

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Question 8 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.

Correct A. 1.2

B. 1.5

C. 1.0

D. 0.8

Correct Answer: A

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Question 9 View Details

A car accelerates uniformly from rest to a speed of 20 m/s in 10 seconds. Calculate the distance covered by the car during this time.

A. 120

Correct B. 100

C. 80

D. 50

Correct Answer: B

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Question 10 View Details

Two point charges, +3 µC and -5 µC, are placed 0.2 m apart in a vacuum. Calculate the magnitude of the force between them using Coulomb's law.

A. 2500

Correct B. 3370

C. 4100

D. 2900

Correct Answer: B

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Question 11 View Details

A block of mass 5 kg is resting on a horizontal surface. A force of 20 N is applied horizontally to the block, but the block does not move. If the coefficient of static friction between the block and the surface is 0.4, determine the maximum static frictional force acting on the block.

Correct A. 19.6 N

B. 15.6 N

C. 18.4 N

D. 20.0 N

Correct Answer: A

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Question 12 View Details

A metal rod is heated from one end, causing it to expand. If the initial length of the rod is 2 m and the coefficient of linear expansion is 0.000012 /°C, calculate the change in length of the rod when the temperature increases by 50°C.

A. 0.6 cm

B. 1.0 cm

Correct C. 1.2 cm

D. 1.5 cm

Correct Answer: C

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Question 13 View Details

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.

A. 1 m

B. 4 m

Correct C. 2 m

D. 3 m

Correct Answer: C

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Question 14 View Details

A wave travels along a string with a frequency of 5 Hz and a wavelength of 0.4 m. Calculate the speed of the wave.

A. 3 m/s

Correct B. 2 m/s

C. 4 m/s

D. 1 m/s

Correct Answer: B

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Question 15 View Details

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 changes to 0.2 T in 0.1 seconds.

A. 150 V

Correct B. 120 V

C. 80 V

D. 100 V

Correct Answer: B

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Question 16 View Details

A metal block of mass 2 kg is heated from 20 °C to 80 °C. If the specific heat capacity of the metal is 500 J/kg°C, calculate the amount of heat energy absorbed by the block. Additionally, if the block is then placed in 1 kg of water at 25 °C, what will be the final equilibrium temperature of the system? Assume no heat is lost to the surroundings.

Correct A. 39.33 °C

B. 42.50 °C

C. 37.75 °C

D. 35.00 °C

Correct Answer: A

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Question 17 View Details

A vector A has a magnitude of 10 units and is directed at an angle of 30° to the horizontal. Calculate the horizontal and vertical components of vector A.

Correct A. Horizontal: 8.66 units, Vertical: 5 units

B. 9.00 units, 6.00 units

C. 10.00 units, 0 units

D. 7.50 units, 3.00 units

Correct Answer: A

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Question 18 View Details

A thermometer reads 30 °C in a room. If the temperature is increased to 50 °C, what is the change in temperature in Kelvin? Explain the relationship between Celsius and Kelvin scales.

Correct A. 20 K

B. 25 K

C. 15 K

D. 30 K

Correct Answer: A

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Question 19 View Details

In a circuit, a resistor of 10 Ω is connected in series with a 5 Ω resistor and a 12 V battery. Calculate the total current flowing through the circuit. If the 10 Ω resistor is replaced with a 20 Ω resistor, what will be the new current? Show all calculations.

A. 1.2 A (initial), 0.72 A (new)

B. 0.6 A (initial), 0.36 A (new)

Correct C. 0.8 A (initial), 0.48 A (new)

D. 0.4 A (initial), 0.24 A (new)

Correct Answer: C

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Question 20 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, while the distance from the fulcrum to the load is 0.5 m, calculate the mechanical advantage of the lever. If the effort distance is increased to 2 m, what will be the new mechanical advantage? Show all calculations.

Correct A. 4 (initial), 4 (new)

B. 2 (initial), 2 (new)

C. 3 (initial), 3 (new)

D. 5 (initial), 5 (new)

Correct Answer: A

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Question 21 View Details

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 constant force of 15 N, what is the total work done on the box?

A. 450 J

B. 600 J

Correct C. 535.5 J

D. 500 J

Correct Answer: C

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Question 22 View Details

A metal rod of length 2 m and cross-sectional area 0.01 m² is heated from 20°C to 100°C. If the coefficient of linear expansion of the metal is 0.000012 /°C, calculate the increase in length of the rod. Additionally, if the rod is then cooled back to 20°C, what will be the change in length?

A. 1.50 mm; -1.50 mm

Correct B. 1.92 mm; -1.92 mm

C. 1.00 mm; -1.00 mm

D. 2.40 mm; -2.40 mm

Correct Answer: B

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Question 23 View Details

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? Additionally, if the gas is then heated at constant volume until the pressure reaches 300 kPa, what will be the new temperature in Kelvin?

A. 200 kPa; 350 K

Correct B. 333.33 kPa; 447 K

C. 250 kPa; 400 K

D. 300 kPa; 500 K

Correct Answer: B

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Question 24 View Details

A rectangular piece of metal has a length of 4 m, a width of 2 m, and a height of 1 m. Calculate the volume of the metal piece. If the density of the metal is 8,000 kg/m³, what is the mass of the metal piece?

Correct A. 64,000 kg

B. 80,000 kg

C. 48,000 kg

D. 32,000 kg

Correct Answer: A

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Question 25 View Details

A gas occupies a volume of 10 m³ at a temperature of 300 K and a pressure of 100 kPa. If the gas is compressed to a volume of 5 m³ while maintaining the temperature constant, what will be the new pressure? If the gas is then heated to a temperature of 600 K at the new volume, what will be the new pressure?

A. 100 kPa; 300 kPa

Correct B. 200 kPa; 400 kPa

C. 150 kPa; 350 kPa

D. 250 kPa; 450 kPa

Correct Answer: B

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