POST UTME DELSU 2025 Physics | Objective

Are you preparing for POST UTME DELSU exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2025 Physics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1
A block of mass 10 kg is susp\ended from a spring with spring cons\tant 100 N/m. If the block is displaced by 0.2 m from its equilibrium position and released from rest, what is the maximum speed of the block?
A. 5 m/s
Correct B. 10 m/s
C. 15 m/s
D. 20 m/s

Correct Answer: B

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Question 2
A gas at 300 K expands from 1 L to 2 L against a cons\tant external pressure of 2 atm. What is the work done by the gas?
A. -200 J
Correct B. -400 J
C. -600 J
D. -800 J

Correct Answer: B

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Question 3
A particle of mass 5 kg is moving in a circular path with a radius of 2 m. If the particle has a speed of 10 m/s, what is the magnitude of the centripetal acceleration?
A. 10 m/s^2
B. 20 m/s^2
Correct C. 30 m/s^2
D. 40 m/s^2

Correct Answer: C

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Question 4
A capacitor consists of two parallel plates separated by a dis\tance of 1 mm. If the capaci\tance is 10 μF, what is the charge stored on the capacitor when a potential difference of 5 V is applied?
A. 50 μC
Correct B. 100 μC
C. 150 μC
D. 200 μC

Correct Answer: B

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Question 5
A wave has a frequency of 100 Hz and a wavelength of 0.1 m. What is the speed of the wave?
A. 10 m/s
B. 20 m/s
Correct C. 30 m/s
D. 40 m/s

Correct Answer: C

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Question 6
A parallel plate capacitor has plates of area 0.01 m^2 and separation 0.001 m. The capaci\tance is 1.5 nF. If a potential difference of 10 V is applied across the plates, calculate the charge stored on the capacitor.
A. 15 \mu C
Correct B. 30 \mu C
C. 45 \mu C
D. 60 \mu C

Correct Answer: B

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Question 7
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. Calculate the magnitude of the force acting on the particle.
A. 12 N
B. 24 N
Correct C. 36 N
D. 48 N

Correct Answer: C

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Question 8
A wave has a frequency of 50 Hz and a wavelength of 0.05 m. Calculate the speed of the wave.
A. 2.5 m/s
B. 5 m/s
Correct C. 10 m/s
D. 20 m/s

Correct Answer: C

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Question 9
A circuit consists of a 10 Ω resistor and a 20 Ω resistor connected in series. If a voltage of 12 V is applied across the circuit, calculate the current flowing through the circuit.
A. 0.4 A
B. 0.6 A
Correct C. 0.8 A
D. 1 A

Correct Answer: C

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Question 10
A sound wave has a frequency of 200 Hz and a speed of 340 m/s. Calculate the wavelength of the wave.
A. 0.0017 m
B. 0.0018 m
Correct C. 0.0019 m
D. 0.002 m

Correct Answer: C

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Question 11
A 5 kg block of ice at 0°C is placed in a 10°C water bath. Assuming the specific heat capacity of ice is 2090 J/(kg°C) and the specific heat capacity of water is 4186 J/(kg°C), calculate the time it takes for the ice to melt completely.
A. 10 minutes
B. 20 minutes
Correct C. 30 minutes
D. 40 minutes

Correct Answer: C

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Question 12
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, calculate the angle through which the particle will rotate in 5 seconds.
A. 10°
B. 20°
Correct C. 30°
D. 40°

Correct Answer: C

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Question 13
A capacitor of capaci\tance 10 μF is connected in series with a resistor of resis\tance 20 Ω. If a voltage of 50 V is applied across the circuit, calculate the current flowing through the circuit.
A. 0.25 A
Correct B. 0.5 A
C. 0.75 A
D. 1 A

Correct Answer: B

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Question 14
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, calculate the angle of re\fraction.
A. 20°
B. 30°
Correct C. 40°
D. 50°

Correct Answer: C

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Question 15
A quantum particle of mass 1 kg is confined to a one-dimensional box of length 2 m. If the particle is in its ground state, calculate the energy of the particle.
A. 10^-34 J
B. 10^-33 J
Correct C. 10^-32 J
D. 10^-31 J

Correct Answer: C

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Question 16
A particle of mass m is confined to a one-dimensional box of length L. U\sing the time-indep\endent Schrödinger equation, derive an expression for the energy eigenvalues of the particle.
Correct A. E_n = \frac{n^2 \pi^2 \hbar^2}{2mL^2}
B. E_n = \frac{n^2 \pi^2 \hbar^2}{mL^2}
C. E_n = \frac{n^2 \pi^2 \hbar^2}{2mL}
D. E_n = \frac{n^2 \pi^2 \hbar^2}{mL}

Correct Answer: A

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Question 17
A block of mass m is placed on a frictionless surface and connected to a horizontal spring of spring cons\tant k. The block is displaced by a dis\tance x from its equilibrium position and released from rest. U\sing the equation of motion, derive an expression for the angular frequency of the block.
Correct A. \omega = \sqrt{\frac{k}{m}}
B. \omega = \sqrt{\frac{m}{k}}
C. \omega = \sqrt{\frac{k}{m^2}}
D. \omega = \sqrt{\frac{m^2}{k}}

Correct Answer: A

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Question 18
A gas is contained in a cylinder of volume V and is heated from temperature T1 to temperature T2. U\sing the ideal gas law, derive an expression for the change in pressure of the gas.
Correct A. \Delta P = \frac{nR\Delta T}{V}
B. \Delta P = \frac{nRT1}{V}
C. \Delta P = \frac{nRT2}{V}
D. \Delta P = \frac{nR\( T1 - T2 \)}{V}

Correct Answer: A

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Question 19
A projectile is launched from the origin with an initial velocity v0 at an angle θ to the horizontal. U\sing the equations of motion, derive an expression for the time of flight of the projectile.
Correct A. \frac{2v_0 \sin \theta}{g}
B. \frac{2v_0 \cos \theta}{g}
C. \frac{v_0 \sin \theta}{g}
D. \frac{v_0 \cos \theta}{g}

Correct Answer: A

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Question 20
A circuit consists of a resistor R, an inductor L, and a capacitor C connected in series. U\sing Kirchhoff's laws, derive an expression for the impedance of the circuit.
Correct A. \sqrt{R^2 + \( \omega L - \frac{1}{\omega C} \)^2}
B. \sqrt{R^2 + \( \omega L + \frac{1}{\omega C} \)^2}
C. \sqrt{R^2 + \( \omega L - \frac{1}{\omega C} \)}
D. \sqrt{R^2 + \( \omega L + \frac{1}{\omega C} \)}

Correct Answer: A

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Question 21
A 2.5 mH inductor is connected in series with a 10 Ω resistor and a 20 V AC source. If the frequency of the source is 50 Hz, calculate the impedance of the circuit u\sing the formula \( Z = \sqrt{R^2 + X_L^2} \), where \( X_L = 2pi f L \).
A. 14.14 Ω
Correct B. 15.62 Ω
C. 17.32 Ω
D. 18.85 Ω

Correct Answer: B

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Question 22
A particle of mass 0.5 kg is attached to a spring with a spring cons\tant of 100 N/m. If the particle is displaced by 2 m from its equilibrium position and released from rest, calculate the frequency of oscillation u\sing the equation \( f = \frac{1}{2pi} \sqrt{\frac{k}{m}} \).
A. 0.25 Hz
Correct B. 0.5 Hz
C. 0.75 Hz
D. 1 Hz

Correct Answer: B

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Question 23
A beam of light passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction u\sing Snell's law \( n_1 \sin \theta_1 = n_2 \sin \theta_2 \).
A. 20°
Correct B. 22.5°
C. 25°
D. 27.5°

Correct Answer: B

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Question 24
A 100 W light bulb is connected to a 220 V AC source. If the power factor of the bulb is 0.8, calculate the current drawn by the bulb u\sing the formula \( P = VI \cos phi \), where ( phi ) is the power factor.
A. 0.45 A
Correct B. 0.5 A
C. 0.55 A
D. 0.6 A

Correct Answer: B

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Question 25
A particle of mass 1 kg is moving in a circular path of radius 2 m with a speed of 4 m/s. If the particle is subject to a centripetal force of 10 N, calculate the time period of the motion u\sing the equation \( T = \frac{2pi r}{v} \).
A. 2.5 s
Correct B. 3 s
C. 3.5 s
D. 4 s

Correct Answer: B

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