POST UTME AFE BABALOLA UNIVERSITY 2025 Physics | Objective

Are you preparing for POST UTME AFE BABALOLA UNIVERSITY 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 particle of mass $m$ is confined to a one-dimensional box of length $L$. The wave function of the particle is given by (psi(x) = \sqrt{\frac{2}{L}} \sinleft\( \frac{npi x}{L}\right \)). What is the expectation value of the position operator for this particle?
Correct A. \frac{L}{2}
B. \frac{L}{4}
C. \frac{3L}{4}
D. \frac{L}{3}

Correct Answer: A

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Question 2
A sound wave with frequency $f$ is traveling through a medium with speed $v$. If the amplitude of the wave is doubled, what happens to the intensity of the wave?
A. Increases by a factor of 2
Correct B. Increases by a factor of 4
C. Increases by a factor of 8
D. Remains the same

Correct Answer: B

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Question 3
A particle of mass $m$ is moving in a circular orbit of radius $r$ with angular frequency $\omega$. What is the magnitude of the centripetal acceleration of the particle?
Correct A. \frac{v^2}{r}
B. \frac{v^2}{r^2}
C. \frac{v^3}{r}
D. \frac{v^2}{r^3}

Correct Answer: A

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Question 4
A radioactive sample has a half-life of $T_{1/2}$. If the initial activity of the sample is $A_0$, what is the activity of the sample after a time $t$?
Correct A. A_0 e^{-t/T_{1/2}}
B. A_0 e^{t/T_{1/2}}
C. A_0 \( 1 - e^{-t/T_{1/2}} \)
D. A_0 \( 1 + e^{-t/T_{1/2}} \)

Correct Answer: A

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Question 5
A wave function is given by (psi(x) = Ae^{-kx}). What is the expectation value of the position operator for this wave function?
Correct A. \frac{1}{k}
B. \frac{1}{k^2}
C. \frac{1}{k^3}
D. \frac{1}{k^4}

Correct Answer: A

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Question 6
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 magnitude of the acceleration of the particle?
A. 4 m/s^2
B. 6 m/s^2
Correct C. 8 m/s^2
D. 10 m/s^2

Correct Answer: C

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Question 7
A 100 V, 50 Hz AC source is connected to a 20 Ω resistor. What is the rms value of the current flowing through the resistor?
A. 2 A
Correct B. 4 A
C. 6 A
D. 8 A

Correct Answer: B

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Question 8
A wave has a frequency of 200 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 9
A body of mass 5 kg is moving with a velocity of 10 m/s. If it is subjected to a force of 20 N, what is the acceleration of the body?
A. 2 m/s^2
Correct B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2

Correct Answer: B

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Question 10
A 1000 W heater is connected to a 230 V AC source. What is the current drawn by the heater?
A. 4 A
B. 6 A
Correct C. 8 A
D. 10 A

Correct Answer: C

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Question 11
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 magnitude of the force?
A. 8 N
Correct B. 12 N
C. 16 N
D. 20 N

Correct Answer: B

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Question 12
A 10 μF capacitor is connected in series with a 20 Ω resistor and a 5 V battery. If the switch is closed at time t = 0, what is the current in the circuit at time t = 2 s?
A. 0.25 A
B. 0.5 A
Correct C. 1 A
D. 2 A

Correct Answer: C

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Question 13
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. If the air resis\tance is negligible, what is the maximum height reached by the projectile?
A. 10 m
B. 15 m
Correct C. 20 m
D. 25 m

Correct Answer: C

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Question 14
A 100 μF capacitor is connected in parallel with a 200 μF capacitor. If a 12 V battery is connected across the combination, what is the equivalent capaci\tance?
A. 50 μF
B. 100 μF
Correct C. 150 μF
D. 200 μF

Correct Answer: C

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Question 15
A 5 Ω resistor is connected in series with a 10 Ω resistor and a 15 Ω resistor. If a 12 V battery is connected across the combination, what is the current in the circuit?
A. 0.5 A
B. 1 A
Correct C. 1.5 A
D. 2 A

Correct Answer: C

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Question 16
A radioactive sample emits \alpha particles with a half-life of 5 days. If the initial activity is 100 Bq, what is the activity after 10 days?
Correct A. 12.5 Bq
B. 25 Bq
C. 50 Bq
D. 100 Bq

Correct Answer: A

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Question 17
A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle has a speed of 4 m/s, what is the centripetal acceleration?
A. 0.5 m/s^2
B. 1 m/s^2
Correct C. 2 m/s^2
D. 4 m/s^2

Correct Answer: C

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Question 18
A gas is contained in a cylinder with a volume of 2 L. If the temperature is increased from 20°C to 50°C, what is the new volume?
A. 2.5 L
B. 3 L
Correct C. 4 L
D. 5 L

Correct Answer: C

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Question 19
A projectile is launched at an angle of 30° above the horizontal with an initial velocity of 20 m/s. If the air resis\tance is negligible, what is the maximum height reached by the projectile?
A. 10 m
B. 15 m
Correct C. 20 m
D. 25 m

Correct Answer: C

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Question 20
A sound wave has a frequency of 200 Hz and a wavelength of 0.5 m. If the speed of sound is 340 m/s, what is the amplitude of the wave?
A. 0.05 m
Correct B. 0.1 m
C. 0.15 m
D. 0.2 m

Correct Answer: B

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Question 21
A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. If a potential difference of 12 V is applied across the circuit, what is the current flowing through the 10 Ω resistor?
A. 0.1 A
Correct B. 0.2 A
C. 0.3 A
D. 0.4 A

Correct Answer: B

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Question 22
A gas at a pressure of 2 atm and a temperature of 300 K is heated to a temperature of 400 K. What is the new pressure of the gas?
A. 2 atm
Correct B. 2.67 atm
C. 3 atm
D. 4 atm

Correct Answer: B

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Question 23
A coil of wire with a resis\tance of 5 Ω is connected to a battery of 12 V. If the current flowing through the coil is 2 A, what is the induc\tance of the coil?
A. 0.1 H
Correct B. 0.191 H
C. 0.2 H
D. 0.3 H

Correct Answer: B

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Question 24
A 100 μF capacitor is connected in series with a 10 kΩ resistor. If a voltage of 10 V is applied across the circuit, what is the time cons\tant of the circuit?
A. 0.01 s
Correct B. 0.1 s
C. 1 s
D. 10 s

Correct Answer: B

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Question 25
A 50 Ω resistor is connected in parallel with a 20 Ω resistor. If a potential difference of 12 V is applied across the circuit, what is the current flowing through the 50 Ω resistor?
A. 0.1 A
Correct B. 0.2 A
C. 0.3 A
D. 0.4 A

Correct Answer: B

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