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waec model questions vol1 2023 physics | Objective

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Question 1 View Details

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.

Correct A. 4.905

B. 5.200

C. 3.500

D. 6.300

Correct Answer: A

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Question 2 View Details

A car travels 60 km north and then 80 km east. Calculate the magnitude of the resultant displacement from the starting point.

A. 70

B. 90

C. 110

Correct D. 100

Correct Answer: D

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Question 3 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 angle between the magnetic field and the normal to the coil is 60°, calculate the induced electromotive force (emf) when the magnetic field is reduced to zero in 2 seconds.

Correct A. 2.5

B. 4.0

C. 1.5

D. 3.0

Correct Answer: A

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Question 4 View Details

A radioactive substance has a half-life of 5 years. If the initial quantity of the substance is 160 grams, how much of the substance will remain after 15 years?

A. 60

B. 80

Correct C. 20

D. 40

Correct Answer: C

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Question 5 View Details

A container holds 2 m³ of gas at a pressure of 100 kPa. If the volume of the gas is reduced to 1 m³ while keeping the temperature constant, what will be the new pressure of the gas?

A. 250

Correct B. 200

C. 150

D. 300

Correct Answer: B

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Question 6 View Details

A block of mass 5 kg is placed on a frictionless surface and is subjected to a constant force of 20 N. Calculate the acceleration of the block and determine the distance it travels in 4 seconds.

A. 24 m

Correct B. 32 m

C. 28 m

D. 30 m

Correct Answer: B

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Question 7 View Details

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 and the average speed.

A. 150 m

Correct B. 125 m

C. 100 m

D. 175 m

Correct Answer: B

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Question 8 View Details

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? Also, calculate the number of half-lives that have passed.

Correct A. 10 g

B. 40 g

C. 20 g

D. 5 g

Correct Answer: A

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Question 9 View Details

A 10 kg object is lifted to a height of 5 meters. Calculate the work done against gravity and the potential energy gained by the object. Assume g = 9.8 m/s².

A. 350 J

B. 980 J

C. 245 J

Correct D. 490 J

Correct Answer: D

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Question 10 View Details

A spring with a spring constant of 200 N/m is compressed by 0.1 m. Calculate the potential energy stored in the spring and the force exerted by the spring when it is released.

A. 0.5 J

B. 2 J

C. 0.1 J

Correct D. 1 J

Correct Answer: D

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Question 11 View Details

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.

A. 1

B. 3

Correct C. 2

D. 4

Correct Answer: C

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Question 12 View Details

Two point charges, +3 µC and -5 µC, are placed 0.5 m apart in a vacuum. Calculate the electric field intensity at a point midway between the two charges.

A. 720000

B. 576000

Correct C. 288000

D. 144000

Correct Answer: C

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Question 13 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 is 30 degrees, calculate the angle of refraction.

Correct A. 19.47

B. 22.10

C. 25.00

D. 15.30

Correct Answer: A

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Question 14 View Details

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 0.000012 /°C, calculate the change in length of the rod.

A. 1.80

B. 1.20

Correct C. 1.44

D. 1.60

Correct Answer: C

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Question 15 View Details

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. 2

C. 5

D. 3

Correct Answer: A

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Question 16 View Details

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 interface.

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

B. 20.00 degrees for angle of refraction; 45.00 degrees for critical angle.

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

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

Correct Answer: A

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Question 17 View Details

A metal rod is heated from 20°C to 80°C. If the rod has a linear expansion coefficient of 0.000012 /°C, calculate the change in length of the rod if its original length is 2 meters.

A. 1.00 mm

Correct B. 1.44 mm

C. 1.80 mm

D. 1.20 mm

Correct Answer: B

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Question 18 View Details

A light ray strikes a plane mirror at an angle of 45 degrees to the normal. Calculate the angle of reflection. If the mirror is rotated by 30 degrees about its axis, what will be the new angle of reflection?

A. 45 degrees initially; 90 degrees after rotation.

B. 30 degrees initially; 60 degrees after rotation.

Correct C. 45 degrees initially; 75 degrees after rotation.

D. 60 degrees initially; 90 degrees after rotation.

Correct Answer: C

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Question 19 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. Additionally, if the frequency is doubled, what will be the new wavelength?

A. 2.5 m initially; 1.25 m after frequency is doubled.

Correct B. 2 m initially; 1 m after frequency is doubled.

C. 1.5 m initially; 0.75 m after frequency is doubled.

D. 3 m initially; 1.5 m after frequency is doubled.

Correct Answer: B

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Question 20 View Details

A tuning fork produces a sound wave with a frequency of 440 Hz. If the speed of sound in air is 343 m/s, calculate the wavelength of the sound produced. If the temperature of the air increases, causing the speed of sound to increase to 350 m/s, what will be the new wavelength at the same frequency?

A. 0.700 m initially; 0.720 m after speed increase.

B. 0.750 m initially; 0.765 m after speed increase.

Correct C. 0.780 m initially; 0.795 m after speed increase.

D. 0.800 m initially; 0.810 m after speed increase.

Correct Answer: C

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Question 21 View Details

A metal rod of length 2.0 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 2.0 × 10⁻⁵ °C⁻¹, calculate the increase in length of the rod.

A. 2.0 mm

B. 3.2 mm

Correct C. 2.4 mm

D. 1.6 mm

Correct Answer: C

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Question 22 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 current flowing through the circuit and the potential difference across each resistor.

A. Current: 1.0 A; V across 4 Ω: 4.0 V; V across 6 Ω: 6.0 V

B. Current: 1.5 A; V across 4 Ω: 6.0 V; V across 6 Ω: 9.0 V

Correct C. Current: 1.2 A; V across 4 Ω: 4.8 V; V across 6 Ω: 7.2 V

D. Current: 0.8 A; V across 4 Ω: 3.2 V; V across 6 Ω: 4.8 V

Correct Answer: C

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Question 23 View Details

A gas occupies a volume of 5.0 L at a pressure of 1.0 atm and a temperature of 300 K. If the temperature is increased to 600 K while keeping the pressure constant, what will be the new volume of the gas?

Correct A. 10.0 L

B. 5.0 L

C. 7.5 L

D. 15.0 L

Correct Answer: A

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Question 24 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. 1.0 m

B. 3.0 m

C. 4.0 m

Correct D. 2.0 m

Correct Answer: D

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Question 25 View Details

A bar magnet is placed in a uniform magnetic field. If the magnetic field strength is 0.5 T and the angle between the magnetic field and the magnetic moment of the bar magnet is 30°, calculate the torque acting on the magnet.

A. 0.100 N·m

Correct B. 0.125 N·m

C. 0.250 N·m

D. 0.0625 N·m

Correct Answer: B

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