POST UTME SKYLINE UNIVERSITY 2025 Physics | Objective

Are you preparing for POST UTME SKYLINE 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 2 kg is moving in a circular path with a cons\tant speed of 4 m/s. If the radius of the circular path is 3 m, calculate the magnitude of the centripetal acceleration.
A. 4 m/s^2
B. 8 m/s^2
Correct C. 16/3 m/s^2
D. 32 m/s^2

Correct Answer: C

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Question 2
A block of mass 5 kg is placed on a frictionless surface. A force of 10 N is applied to the block, cau\sing it to accelerate at 2 m/s^2. What is the normal force exerted by the surface on the block?
A. 50 N
Correct B. 60 N
C. 70 N
D. 80 N

Correct Answer: B

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Question 3
A 100 W heater is used to heat a 10 kg block of copper from 20°C to 80°C. If the specific heat capacity of copper is 0.385 J/g°C, calculate the time taken for the heating process.
A. 20 s
Correct B. 23.1 s
C. 25 s
D. 30 s

Correct Answer: B

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Question 4
A 2 m long wire is connected to a 12 V battery. If the wire has a resis\tance of 4 Ω, calculate the current flowing through the wire.
A. 1 A
B. 2 A
Correct C. 3 A
D. 4 A

Correct Answer: C

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Question 5
A 5 kg block is attached to a horizontal spring with a force cons\tant of 200 N/m. If the block is displaced by 0.2 m from its equilibrium position, calculate the magnitude of the force exerted by the spring on the block.
A. 20 N
B. 30 N
Correct C. 40 N
D. 50 N

Correct Answer: C

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Question 6
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 position operator for this state?
Correct A. \( \frac{L}{2} \)
B. \( \frac{L}{4} \)
C. \( \frac{3L}{4} \)
D. \( \frac{L}{pi} \)

Correct Answer: A

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Question 7
A radioactive sample decays according to the equation \( \frac{dN}{dt} = -lambda N \), where $N$ is the number of nuclei and $lambda$ is the decay cons\tant. If the initial number of nuclei is $N_0$ and the half-life of the sample is $T_{1/2}$, what is the time $t$ at which the number of nuclei is reduced to $\frac{N_0}{4}?
A. $T_{1/2} ln 2$
Correct B. $T_{1/2} ln 4$
C. $T_{1/2} ln 8$
D. $T_{1/2} ln 16$

Correct Answer: B

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Question 8
A block of mass $m$ is attached 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. Assuming that the block undergoes simple harmonic motion, what is the angular frequency $omega$ of the block?
Correct A. $\sqrt{\frac{k}{m}}$
B. $\sqrt{\frac{m}{k}}$
C. $\frac{k}{m}$
D. $\frac{m}{k}$

Correct Answer: A

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Question 9
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. What is the magnitude of the centripetal acceleration $a_c$ of the particle?
Correct A. $\frac{v^2}{r}$
B. $\frac{v^2}{2r}$
C. $\frac{2v^2}{r}$
D. $\frac{v^2}{3r}$

Correct Answer: A

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Question 10
A force $F$ is applied to a spring of spring cons\tant $k$. The resulting displacement $x$ of the spring is given by Hooke's Law: $F = kx$. If the force is doubled, what is the new displacement $x'$ of the spring?
A. $2x$
Correct B. $x/2$
C. $x/3$
D. $x/4$

Correct Answer: B

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Question 11
A 2.5 µF capacitor is connected in series with a 5 µF capacitor and a 10 V AC source. If the frequency of the source is 50 Hz, what is the impedance of the circuit?
Correct A. \( 10 \sqrt{2} \) µF
B. \( 10 \sqrt{3} \) µF
C. \( 10 \sqrt{5} \) µF
D. \( 10 \sqrt{7} \) µF

Correct Answer: A

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Question 12
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 subjected 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 13
A 100 W bulb is connected to a 220 V AC source. If the power factor of the bulb is 0.8, what is the current drawn by the bulb?
A. ( 0.5 ) A
Correct B. ( 0.8 ) A
C. ( 1.2 ) A
D. ( 1.5 ) A

Correct Answer: B

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Question 14
A capacitor of capaci\tance 10 µF is connected in parallel with a resistor of resis\tance 100 µF. If the frequency of the source is 50 Hz, what is the impedance of the circuit?
Correct A. \( 10 \sqrt{2} \) µF
B. \( 10 \sqrt{3} \) µF
C. \( 10 \sqrt{5} \) µF
D. \( 10 \sqrt{7} \) µF

Correct Answer: A

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Question 15
A particle of mass 1 kg is moving in a circular path of radius 2 m with a speed of 3 m/s. If the particle is subjected to a centripetal force of 5 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 16
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. 2 m/s^2
B. 4 m/s^2
Correct C. 6 m/s^2
D. 8 m/s^2

Correct Answer: C

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Question 17
A block of mass 5 kg is placed on a frictionless surface and attached to a horizontal spring with a force cons\tant of 200 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 18
A parallel plate capacitor has a capaci\tance of 2 μF and is charged to a potential difference of 10 V. If the dis\tance between the plates is increased to 5 mm, what is the new capaci\tance?
A. 1 μF
Correct B. 2 μF
C. 3 μF
D. 4 μF

Correct Answer: B

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Question 19
A magnetic field of 2 T is applied to a current-carrying wire of length 1 m. If the current in the wire is 5 A, what is the magnitude of the force on the wire?
A. 10 N
B. 20 N
Correct C. 30 N
D. 40 N

Correct Answer: C

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Question 20
A heat engine operates between a high-temperature reservoir at 500 K and a low-temperature reservoir at 300 K. If the engine has an efficiency of 30%, what is the temperature of the high-temperature reservoir?
A. 400 K
Correct B. 450 K
C. 500 K
D. 550 K

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, calculate the mass of the sample after 1 billion years.
A. 50 g
B. 25 g
C. 75 g
Correct D. 37.5 g

Correct Answer: D

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Question 22
A long, straight wire carries a current of 5 A. If the magnetic field at a dis\tance of 2 cm from the wire is 0.05 T, what is the current in a second wire that is placed perp\endicular to the first wire at the same dis\tance?
A. 2 A
B. 5 A
Correct C. 10 A
D. 20 A

Correct Answer: C

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Question 23
A block of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.1 m and released, what is the maximum speed of the block?
A. 0.5 m/s
B. 1 m/s
Correct C. 2 m/s
D. 5 m/s

Correct Answer: C

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Question 24
A parallel plate capacitor has a capaci\tance of 10 μF. If a voltage of 5 V is applied across the plates, what is the energy stored in the capacitor?
A. 0.25 J
Correct B. 0.5 J
C. 1 J
D. 2 J

Correct Answer: B

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Question 25
A wave function is given by ψ(x) = Ae^(ikx). If the wave function is normalized, what is the value of A?
A. 1
B. 1/√2
Correct C. 1/√π
D. 1/√2π

Correct Answer: C

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