POST UTME OAU 2023 Physics | Objective

Are you preparing for POST UTME OAU exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2023 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1
A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. If a 12 V battery is connected across the circuit, what is the potential difference across the 20 Ω resistor?
A. 6 V
Correct B. 8 V
C. 10 V
D. 12 V

Correct Answer: B

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Question 2
A radioactive sample has a half-life of 5 years. If the initial activity is 1000 Bq, what is the activity after 10 years?
A. 500 Bq
B. 250 Bq
C. 125 Bq
Correct D. 62.5 Bq

Correct Answer: D

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Question 3
A gas is heated from 20°C to 50°C at cons\tant volume. If the initial pressure is 1 atm, what is the final pressure?
A. 1 atm
B. 2 atm
Correct C. 3 atm
D. 4 atm

Correct Answer: C

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Question 4
A 100 W bulb is connected to a 230 V mains supply. What is the current drawn by the bulb?
A. 0.4 A
Correct B. 0.5 A
C. 0.6 A
D. 0.7 A

Correct Answer: B

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Question 5
A 5 μF capacitor is connected in series with a 10 Ω resistor. If a 12 V battery is connected across the circuit, what is the time cons\tant?
A. 0.2 s
Correct B. 0.5 s
C. 1 s
D. 2 s

Correct Answer: B

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Question 6
A block of mass 2 kg is moving with a velocity of 5 m/s on a horizontal frictionless surface. If the block collides with a stationary block of mass 3 kg, what is the velocity of the system after the collision?
A. 4 m/s
Correct B. 6 m/s
C. 8 m/s
D. 10 m/s

Correct Answer: B

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Question 7
A 10 V battery is connected to a 2 Ω resistor in series with a 4 Ω resistor. What is the current flowing through the circuit?
A. 0.5 A
Correct B. 1 A
C. 2 A
D. 4 A

Correct Answer: B

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Question 8
A radioactive sample has a half-life of 10 years. If the initial activity is 100 Bq, what is the activity after 20 years?
A. 25 Bq
Correct B. 50 Bq
C. 75 Bq
D. 100 Bq

Correct Answer: B

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Question 9
A 2 kg block is attached to a horizontal spring with a force cons\tant of 100 N/m. If the block is displaced by 0.1 m from its equilibrium position, what is the potential energy stored in the spring?
A. 1 J
Correct B. 2 J
C. 5 J
D. 10 J

Correct Answer: B

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Question 10
A 10 Ω resistor is connected in parallel with a 20 Ω resistor. What is the equivalent resis\tance of the circuit?
A. 5 Ω
B. 10 Ω
Correct C. 15 Ω
D. 20 Ω

Correct Answer: C

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Question 11
A particle of mass $m$ is projected from the origin with an initial velocity $v_0$ at an angle $\theta$ to the horizontal. If the particle experiences a uniform gravitational field of strength $g$, find the time $t$ at which the particle reaches its maximum height.
Correct A. \( \frac{v_0 \sin \theta}{g} \)
B. \( \frac{v_0 \cos \theta}{g} \)
C. \( \frac{v_0 \sin \theta}{g^2} \)
D. \( \frac{v_0 \cos \theta}{g^2} \)

Correct Answer: A

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Question 12
A parallel plate capacitor has a capaci\tance of $C$ and is charged to a potential difference of $V$. If the dis\tance between the plates is increased by a factor of $k$, find the new potential difference $V'$.
Correct A. \( \frac{V}{k} \)
B. \( \frac{V}{k^2} \)
C. \( \frac{V}{k^3} \)
D. \( \frac{V}{k^4} \)

Correct Answer: A

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Question 13
A block of mass $m$ is placed on a frictionless surface and a horizontal force $F$ is applied to it. If the block accelerates at a rate of $a$, find the force $F$.
Correct A. \( ma \)
B. \( \frac{ma}{2} \)
C. \( \frac{ma}{3} \)
D. \( \frac{ma}{4} \)

Correct Answer: A

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Question 14
A uniform rod of length $L$ and mass $M$ is pivoted at one \end. If a force $F$ is applied at the other \end, find the torque $\tau$.
Correct A. \( FL \)
B. \( \frac{FL}{2} \)
C. \( \frac{FL}{3} \)
D. \( \frac{FL}{4} \)

Correct Answer: A

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Question 15
A circuit consists of a resistor $R$ and an inductor $L$ connected in series. If the current $I$ is increa\sing at a rate of $\frac{dI}{dt}$, find the voltage $V$ across the inductor.
Correct A. \( L\frac{dI}{dt} \)
B. \( \frac{L}{R}\frac{dI}{dt} \)
C. \( \frac{L}{R^2}\frac{dI}{dt} \)
D. \( \frac{L}{R^3}\frac{dI}{dt} \)

Correct Answer: A

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Question 16
A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. If the total resis\tance is 60 Ω, what is the value of the unknown resistor?
Correct A. 5 Ω
B. 10 Ω
C. 20 Ω
D. 30 Ω

Correct Answer: A

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Question 17
A magnetic field is produced by a current-carrying wire. If the current is doubled, what happens to the magnetic field?
A. Increases by a factor of 2
Correct B. Increases by a factor of 4
C. Remains the same
D. Decreases by a factor of 2

Correct Answer: B

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Question 18
A wave has a frequency of 50 Hz and a wavelength of 2 m. What is the speed of the wave?
A. 100 m/s
Correct B. 200 m/s
C. 500 m/s
D. 1000 m/s

Correct Answer: B

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Question 19
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. 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 20
A sound wave has a frequency of 200 Hz and a wavelength of 1.5 m. What is the speed of the sound wave?
A. 300 m/s
Correct B. 600 m/s
C. 900 m/s
D. 1200 m/s

Correct Answer: B

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Question 21
A radioactive sample of Uranium-238 undergoes \alpha decay. If the initial mass of the sample is 100 g, and the half-life of Uranium-238 is 4.5 billion years, what is the mass of the sample after 9 billion years?
A. 25 g
B. 50 g
C. 75 g
Correct D. 87.5 g

Correct Answer: D

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Question 22
A block of mass 2 kg is attached to a horizontal spring with a spring cons\tant of 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. 0.2 m/s
B. 0.4 m/s
Correct C. 0.6 m/s
D. 0.8 m/s

Correct Answer: C

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Question 23
A point charge of +2 μC is placed at the origin of a coordinate system. A second point charge of -3 μC is placed at a dis\tance of 0.5 m from the origin. What is the magnitude of the electric field at a point 0.2 m from the origin?
A. 100 N/C
B. 200 N/C
Correct C. 300 N/C
D. 400 N/C

Correct Answer: C

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Question 24
A wire of length 2 m and resis\tance 5 Ω is connected in series with a 10 Ω resistor and a 20 Ω resistor. If a voltage of 12 V is applied across the circuit, what is the current flowing through the 20 Ω resistor?
A. 0.2 A
B. 0.4 A
Correct C. 0.6 A
D. 0.8 A

Correct Answer: C

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Question 25
A particle of mass 1 kg is moving in a circular path with a radius of 0.5 m and a speed of 2 m/s. What is the magnitude of the centripetal acceleration?
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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