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waec model questions vol1 2017 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, calculate the work done on the box. Additionally, if the box has a mass of 5 kg and the coefficient of kinetic friction between the box and the surface is 0.2, determine the net work done on the box after accounting for friction.

A. 300 J

Correct B. 401.9 J

C. 450 J

D. 500 J

Correct Answer: B

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Question 2

A wave travels along a string with a frequency of 5 Hz and a wavelength of 2 m. Calculate the speed of the wave. If the tension in the string is increased, resulting in a new wave speed of 10 m/s, determine the new frequency of the wave while keeping the wavelength constant.

A. 20 Hz

B. 2 Hz

C. 10 Hz

Correct D. 5 Hz

Correct Answer: D

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Question 3

A vector A has a magnitude of 10 units and is directed 30 degrees above the horizontal. A vector B has a magnitude of 15 units and is directed 60 degrees above the horizontal. Calculate the resultant vector R of A and B using the component method.

Correct A. 24.17 units

B. 20.50 units

C. 22.00 units

D. 18.75 units

Correct Answer: A

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Question 4

A car travels from point A to point B, covering a distance of 120 km in 2 hours. It then returns from point B to point A in 1.5 hours. Calculate the average speed of the car for the entire journey.

A. 80.00 km/h

B. 60.00 km/h

Correct C. 68.57 km/h

D. 75.00 km/h

Correct Answer: C

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Question 5

In a circuit, a resistor of 10 ohms is connected in series with a resistor of 20 ohms. If a voltage of 60 V is applied across the series combination, calculate the total current flowing through the circuit. Then, if a third resistor of 30 ohms is added in parallel to the 20-ohm resistor, determine the new total current flowing through the circuit.

A. 2.00 A

Correct B. 2.73 A

C. 1.50 A

D. 3.00 A

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 liquid is found to be 150 grams, and the volume is measured to be 200 cm³. Calculate the density of the liquid and express your answer in grams per cubic centimeter (g/cm³).

A. 0.50

B. 1.00

Correct C. 0.75

D. 1.25

Correct Answer: C

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Question 7

In a circuit, a resistor of 10 ohms is connected in series with a 12-volt battery and a second resistor of unknown resistance. If the total current flowing through the circuit is 2 amperes, calculate the resistance of the second resistor.

A. 8

B. 10

C. 6

Correct D. 4

Correct Answer: D

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Question 8

A block of wood weighing 20 N is resting on a horizontal surface. If a horizontal force of 5 N is applied to the block, calculate the net force acting on the block and determine whether it will move, assuming the coefficient of static friction between the block and the surface is 0.4.

A. The net force is 10 N.

Correct B. The block will not move.

C. The block will slide off the surface.

D. The block will move.

Correct Answer: B

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Question 9

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, given that the refractive index of water is 1.33.

A. 15.00

B. 45.00

Correct C. 22.09

D. 30.00

Correct Answer: C

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Question 10

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 and determine if it is efficient.

Correct A. 4

B. 3

C. 5

D. 2

Correct Answer: A

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Question 11

A long straight wire carries a current of 5 A. Calculate the magnetic field strength at a distance of 0.1 m from the wire. Assume the permeability of free space is 4π × 10^-7 Tm/A.

A. 3 × 10^-6 T

B. 2 × 10^-6 T

C. 5 × 10^-7 T

Correct D. 1 × 10^-6 T

Correct Answer: D

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Question 12

A car travels at a constant speed of 60 km/h for 2 hours. How far does the car travel in that time?

A. 90 km

B. 150 km

C. 100 km

Correct D. 120 km

Correct Answer: D

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Question 13

A block of mass 10 kg is lifted to a height of 5 m. Calculate the work done against gravity. (Take g = 9.8 m/s²)

A. 500 J

B. 550 J

C. 450 J

Correct D. 490 J

Correct Answer: D

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Question 14

A gas occupies a volume of 2 m³ at a pressure of 100 kPa. If the volume is reduced to 1 m³, what will be the new pressure of the gas, assuming it behaves ideally? (Use Boyle's Law)

A. 250 kPa

Correct B. 200 kPa

C. 150 kPa

D. 300 kPa

Correct Answer: B

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Question 15

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 16

A metal rod has a length of 2.5 meters at a temperature of 20°C. If the coefficient of linear expansion of the metal is 0.000012 per °C, what will be the length of the rod at 100°C?

A. 2.5048 m

Correct B. 2.5024 m

C. 2.5000 m

D. 2.4984 m

Correct Answer: B

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Question 17

A sound wave travels through air at a speed of 340 m/s. If the frequency of the sound is 680 Hz, what is the wavelength of the sound wave?

A. 1.0 m

B. 0.8 m

C. 0.3 m

Correct D. 0.5 m

Correct Answer: D

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Question 18

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°, what is the angle of refraction in the glass?

A. 25.0°

Correct B. 19.1°

C. 15.5°

D. 22.3°

Correct Answer: B

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Question 19

A block of mass 5 kg is resting on a horizontal surface. A force of 20 N is applied horizontally to the block. If the coefficient of static friction between the block and the surface is 0.4, will the block move? Use a force diagram to support your answer.

A. No, the block will not move.

Correct B. Yes, the block will move.

C. Yes, the block will remain stationary.

D. No, the block will slide back.

Correct Answer: B

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Question 20

A 2 kg mass is heated from 20°C to 80°C. If the specific heat capacity of the material is 500 J/kg°C, how much heat energy is required for this temperature change?

Correct A. 60000 J

B. 40000 J

C. 30000 J

D. 80000 J

Correct Answer: A

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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 100 °C. If the coefficient of linear expansion of the metal is 2 × 10⁻⁵ °C⁻¹, calculate the increase in length of the rod.

A. 1.6 mm

Correct B. 3.2 mm

C. 4.0 mm

D. 2.4 mm

Correct Answer: B

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Question 22

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. 25.00°

Correct B. 19.19°

C. 22.30°

D. 15.50°

Correct Answer: B

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Question 23

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?

A. 5 g

Correct B. 10 g

C. 15 g

D. 20 g

Correct Answer: B

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Question 24

A gas occupies a volume of 2 m³ at a pressure of 100 kPa. If the volume is reduced to 1 m³, what will be the new pressure of the gas, assuming it behaves ideally?

A. 300 kPa

Correct B. 200 kPa

C. 150 kPa

D. 250 kPa

Correct Answer: B

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Question 25

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.

A. 30.2 °C

B. 28.5 °C

Correct C. 25.4 °C

D. 22.1 °C

Correct Answer: C

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