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POST UTME WELLSPRING UNIVERSITY 2019 Physics | Objective

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Question 1 View Details

A particle of mass 2 kg is moving in a circular path of radius 3 m with a cons\tant speed of 4 m/s. If the particle is subjected to a centripetal force of 12 N, what is the angular velocity of the particle?

Correct A. \( \frac{2pi}{5} \) rad/s

B. \( \frac{2pi}{3} \) rad/s

C. \( \frac{2pi}{4} \) rad/s

D. \( \frac{2pi}{2} \) rad/s

Correct Answer: A

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Question 2 View Details

A 10 μF capacitor is connected in series with a 20 Ω resistor and a 50 V battery. If the switch is closed at time t = 0, what is the current in the circuit at time t = 5 s?

A. ( 0.5 A )

Correct B. ( 1 A )

C. ( 2 A )

D. ( 5 A )

Correct Answer: B

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Question 3 View Details

A wave of frequency 100 Hz and amplitude 0.5 m is traveling along a string. If the string is plucked at time t = 0, what is the displacement of the string at time t = 0.01 s?

Correct A. ( 0.25 m )

B. ( 0.5 m )

C. ( 0.75 m )

D. ( 1 m )

Correct Answer: A

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Question 4 View Details

A particle of mass 1 kg is moving in a straight line with an initial velocity of 5 m/s. If the particle is subjected to a force of 10 N, what is the acceleration of the particle?

A. \( 2 m/s^2 \)

B. \( 5 m/s^2 \)

Correct C. \( 10 m/s^2 \)

D. \( 20 m/s^2 \)

Correct Answer: C

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Question 5 View Details

A 5 μF capacitor is connected in parallel with a 10 μF capacitor. If a voltage of 50 V is applied across the combination, what is the equivalent capaci\tance?

A. ( 10 μF )

Correct B. ( 15 μF )

C. ( 20 μF )

D. ( 25 μF )

Correct Answer: B

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Question 6 View Details

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the dielectric cons\tant of the material between the plates is 3, calculate the capaci\tance.

A. 1.6 x 10^-9 F

Correct B. 3.2 x 10^-9 F

C. 4.8 x 10^-9 F

D. 6.4 x 10^-9 F

Correct Answer: B

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Question 7 View Details

A particle of mass 2 kg is attached to a spring with spring cons\tant 100 N/m. If the particle is displaced by 0.1 m from its equilibrium position and released from rest, calculate the total energy of the particle.

A. 1 J

B. 2 J

Correct C. 5 J

D. 10 J

Correct Answer: C

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Question 8 View Details

A wave has a frequency of 50 Hz and a wavelength of 0.1 m. Calculate the speed of the wave.

A. 5 m/s

B. 10 m/s

Correct C. 20 m/s

D. 50 m/s

Correct Answer: C

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Question 9 View Details

A circuit consists of a 10 Ω resistor and a 20 Ω resistor connected in series. If a voltage of 20 V is applied across the circuit, calculate the current flowing through the circuit.

A. 0.5 A

Correct B. 1 A

C. 2 A

D. 5 A

Correct Answer: B

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Question 10 View Details

A gas expands from an initial volume of 0.1 m^3 to a final volume of 0.5 m^3. If the initial pressure is 100 kPa, calculate the final pressure.

A. 20 kPa

Correct B. 50 kPa

C. 100 kPa

D. 200 kPa

Correct Answer: B

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Question 11 View Details

A gas is enclosed in a container of volume 2.5 m³ at a temperature of 300 K. If the pressure of the gas is 1.5 atm, what is the number of moles of the gas present, assuming ideal gas behavior?

A. 0.05 mol

Correct B. 0.1 mol

C. 0.15 mol

D. 0.2 mol

Correct Answer: B

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Question 12 View Details

A particle of mass 0.1 kg is moving in a circular path with a radius of 0.5 m. If the particle has a speed of 2 m/s, what is the magnitude of the centripetal acceleration?

A. 0.5 m/s²

B. 1 m/s²

Correct C. 2 m/s²

D. 5 m/s²

Correct Answer: C

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Question 13 View Details

A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 5 Ω resistor connected in series. If a voltage of 12 V is applied across the circuit, what is the current flowing through the circuit?

A. 0.5 A

Correct B. 1 A

C. 2 A

D. 3 A

Correct Answer: B

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Question 14 View Details

A beam of light is incident on a prism at an angle of 30°. If the re\fractive index of the prism is 1.5, what is the angle of re\fraction?

Correct A. 20°

B. 30°

C. 40°

D. 50°

Correct Answer: A

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Question 15 View Details

A wave has a frequency of 100 Hz and a wavelength of 0.5 m. What is the speed of the wave?

A. 50 m/s

Correct B. 100 m/s

C. 150 m/s

D. 200 m/s

Correct Answer: B

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Question 16 View Details

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the dielectric cons\tant of the material between the plates is 3, calculate the capaci\tance.

A. 1.6 x 10^-11 F

Correct B. 3.2 x 10^-11 F

C. 4.8 x 10^-11 F

D. 6.4 x 10^-11 F

Correct Answer: B

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Question 17 View Details

A sound wave has a frequency of 200 Hz and a wavelength of 0.5 m. Calculate the speed of the sound wave.

A. 100 m/s

Correct B. 200 m/s

C. 300 m/s

D. 400 m/s

Correct Answer: B

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Question 18 View Details

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. Calculate the total resis\tance and the current flowing through the circuit.

Correct A. 10 Ω, 1.2 A

B. 12 Ω, 1.0 A

C. 6 Ω, 2.0 A

D. 4 Ω, 3.0 A

Correct Answer: A

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Question 19 View Details

A block of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. Calculate the frequency of oscillation.

Correct A. 1.59 Hz

B. 1.79 Hz

C. 1.99 Hz

D. 2.19 Hz

Correct Answer: A

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Question 20 View Details

A liquid of density 1000 kg/m^3 is flowing through a pipe with a cross-sectional area of 0.01 m^2. Calculate the pressure of the liquid.

Correct A. 9800 Pa

B. 98000 Pa

C. 980000 Pa

D. 9800000 Pa

Correct Answer: A

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Question 21 View Details

A uniform electric field of magnitude 2.0 x 10^4 N/C is directed along the positive x-axis. A point charge of +3.0 μC is placed at the origin. What is the magnitude of the electric force acting on the charge?

A. 6.0 x 10^-3 N

Correct B. 6.0 x 10^-2 N

C. 6.0 x 10^-1 N

D. 6.0 x 10^1 N

Correct Answer: B

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Question 22 View Details

A gas at 300 K expands from 1.0 L to 2.0 L against an external pressure of 1.0 atm. What is the work done by the gas?

Correct A. -2.0 J

B. -1.0 J

C. 0.0 J

D. 1.0 J

Correct Answer: A

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Question 23 View Details

A particle of mass 2.0 kg is moving in a circular path of radius 3.0 m with a cons\tant speed of 4.0 m/s. What is the magnitude of the centripetal force acting on the particle?

A. 1.0 N

B. 2.0 N

Correct C. 3.0 N

D. 4.0 N

Correct Answer: C

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Question 24 View Details

A block of mass 5.0 kg is attached to a horizontal spring with a force cons\tant of 100 N/m. The block is displaced by 2.0 m from its equilibrium position and released from rest. What is the maximum speed of the block?

A. 1.0 m/s

B. 2.0 m/s

Correct C. 3.0 m/s

D. 4.0 m/s

Correct Answer: C

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Question 25 View Details

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. What is the maximum height reached by the projectile?

A. 5.0 m

Correct B. 10.0 m

C. 15.0 m

D. 20.0 m

Correct Answer: B

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