POST UTME OAU 2020 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 2020 Physics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1
A parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 20 V is applied across its plates, what is the charge stored on each plate?
A. 200 μC
Correct B. 400 μC
C. 600 μC
D. 800 μC

Correct Answer: B

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Question 2
A particle of mass 2 kg is moving in a circular path of radius 3 m with a speed of 4 m/s. If the particle is subject to a centripetal force of 10 N, what is the angular velocity of the particle?
A. 0.5 rad/s
B. 1 rad/s
Correct C. 2 rad/s
D. 5 rad/s

Correct Answer: C

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Question 3
A wave has a frequency of 50 Hz and a wavelength of 2 m. If the wave is traveling in the positive x-direction, what is the direction of the wave's velocity?
Correct A. Right
B. Left
C. Up
D. Down

Correct Answer: A

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Question 4
A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 30 Ω resistor connected in series. If a voltage of 20 V is applied across the circuit, what is the current flowing through the circuit?
A. 0.5 A
B. 1 A
Correct C. 2 A
D. 3 A

Correct Answer: C

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Question 5
A block of mass 5 kg is placed on a frictionless surface and attached to a horizontal spring with a spring cons\tant of 100 N/m. If the block is displaced by 2 m from its equilibrium position and released, what is the maximum speed of the block?
A. 2 m/s
B. 4 m/s
Correct C. 6 m/s
D. 8 m/s

Correct Answer: C

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Question 6
A particle of mass 2 kg is moving in a circular path with a cons\tant speed of 4 m/s. If the radius of the path is 3 m, calculate the magnitude of the centripetal force acting on the particle.
A. 12 N
Correct B. 16 N
C. 20 N
D. 24 N

Correct Answer: B

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Question 7
A 100 V, 50 Hz AC supply is connected to a circuit containing a 20 Ω resistor and a 10 μF capacitor in series. Calculate the impedance of the circuit.
A. 22 Ω
B. 25 Ω
Correct C. 28 Ω
D. 30 Ω

Correct Answer: C

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Question 8
A block of mass 5 kg is placed on a frictionless surface and attached to a horizontal spring with a force cons\tant of 100 N/m. If the block is displaced by 2 m from its equilibrium position and released from rest, calculate the maximum speed of the block.
A. 2 m/s
B. 4 m/s
Correct C. 6 m/s
D. 8 m/s

Correct Answer: C

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Question 9
A 2000 W, 240 V AC supply is connected to a circuit containing a 10 Ω resistor and a 20 μF capacitor in parallel. Calculate the current drawn from the supply.
A. 10 A
Correct B. 12 A
C. 14 A
D. 16 A

Correct Answer: B

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Question 10
A particle of mass 3 kg is moving in a circular path with a cons\tant speed of 5 m/s. If the radius of the path is 4 m, calculate the magnitude of the centripetal acceleration acting on the particle.
A. 10 m/s^2
B. 12 m/s^2
Correct C. 15 m/s^2
D. 18 m/s^2

Correct Answer: C

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Question 11
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The ground state wave function of the particle is given by \( psi_0\( x \ \) = \sqrt{\frac{2}{L}} \sinleft\( \frac{pi x}{L}\right \)). What is the expectation value of the potential energy of the particle in the ground state?
Correct A. \( \frac{1}{2}mleft\( \frac{h}{2pi}\right \ \)^2 \frac{pi^2}{L^2})
B. \( \frac{1}{2}mleft\( \frac{h}{2pi}\right \ \)^2 \frac{2pi^2}{L^2})
C. \( \frac{1}{2}mleft\( \frac{h}{2pi}\right \ \)^2 \frac{4pi^2}{L^2})
D. \( \frac{1}{2}mleft\( \frac{h}{2pi}\right \ \)^2 \frac{8pi^2}{L^2})

Correct Answer: A

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Question 12
A simple p\endulum of length $L$ has a mass $m$ attached to its \end. The p\endulum is released from an initial angle of $\theta_0$ from the vertical. What is the angular frequency of the p\endulum?
Correct A. \( \sqrt{\frac{g}{L}} \)
B. \( \sqrt{\frac{L}{g}} \)
C. \( \frac{g}{L} \)
D. \( \frac{L}{g} \)

Correct Answer: A

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Question 13
A magnetic field of magnitude $B$ is directed perp\endicular to the plane of a circular loop of radius $R$. The loop carries a current $I$. What is the magnitude of the magnetic moment of the loop?
Correct A. \( Ipi R^2 \)
B. ( Ipi R )
C. \( Ipi R^3 \)
D. \( Ipi R^4 \)

Correct Answer: A

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Question 14
A gas of molecules is contained in a cylinder of volume $V$. The gas is heated, cau\sing the molecules to expand. What is the change in the internal energy of the gas?
Correct A. \( nC_VDelta T \)
B. \( nC_PDelta T \)
C. ( nRDelta T )
D. \( nC_VDelta P \)

Correct Answer: A

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Question 15
A particle of mass $m$ is moving in a circular orbit of radius $R$ with a speed $v$. What is the magnitude of the centripetal force acting on the particle?
Correct A. \( \frac{mv^2}{R} \)
B. \( \frac{mR^2}{v^2} \)
C. \( \frac{mv^2}{R^2} \)
D. \( \frac{mR^2}{v} \)

Correct Answer: A

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Question 16
A 50 Hz, 200 V AC source is connected to a 100 Ω resistor. Calculate the rms current flowing through the resistor.
A. 1 A
Correct B. 2 A
C. 4 A
D. 5 A

Correct Answer: B

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Question 17
A particle of mass 2 kg is moving in a circular path of radius 3 m with a speed of 4 m/s. Calculate the centripetal force acting on the particle.
A. 10 N
B. 20 N
Correct C. 30 N
D. 40 N

Correct Answer: C

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Question 18
A 10 V battery is connected to a 20 Ω resistor and a 5 Ω resistor in parallel. Calculate the total 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 19
A 2 kg block is moving with a speed of 5 m/s on a frictionless surface. Calculate the work done by the block in moving 10 m.
A. 25 J
Correct B. 50 J
C. 75 J
D. 100 J

Correct Answer: B

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Question 20
A 5 Ω resistor is connected to a 10 V battery. Calculate the power consumed by the resistor.
A. 5 W
Correct B. 10 W
C. 15 W
D. 20 W

Correct Answer: B

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Question 21
A 2.5 m long wire of resis\tance 3.5 Ω is connected in series with a 6 V battery. If the current flowing through the wire is 0.5 A, what is the potential difference across the wire?
A. 1.75 V
B. 2.25 V
Correct C. 3.5 V
D. 4.5 V

Correct Answer: C

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Question 22
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. What is the magnitude of the force acting on the particle?
A. 10 N
B. 12 N
Correct C. 15 N
D. 20 N

Correct Answer: C

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Question 23
A lens of focal length 20 cm is used to form an image of an object placed 30 cm from the lens. What is the nature of the image formed?
Correct A. Real and inverted
B. Virtual and erect
C. Real and erect
D. Virtual and inverted

Correct Answer: A

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Question 24
A body of mass 5 kg is moving with a velocity of 10 m/s. What is its kinetic energy?
A. 50 J
Correct B. 100 J
C. 150 J
D. 200 J

Correct Answer: B

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Question 25
A 100 W bulb is connected to a 220 V power supply. What is the current drawn by the bulb?
A. 0.5 A
Correct B. 1 A
C. 2 A
D. 4 A

Correct Answer: B

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