POST UTME SKYLINE UNIVERSITY 2025 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A gas at 300 K and 1 atm expands from 1 L to 2 L. Assuming ideal gas behavior, find the work done by the gas.
A. 100 J
B. 200 J
C. 300 J
D. 400 J
Question 2
A projectile is launched at an angle of 60° to the horizontal with an initial velocity of 20 m/s. Calculate the time of flight.
A. 2 s
B. 4 s
C. 6 s
D. 8 s
Question 3
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?
A. $\frac{v^2}{r}$
B. $\frac{v^2}{2r}$
C. $\frac{2v^2}{r}$
D. $\frac{v^2}{3r}$
Question 4
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?
A. \( 10 \sqrt{2} \) µF
B. \( 10 \sqrt{3} \) µF
C. \( 10 \sqrt{5} \) µF
D. \( 10 \sqrt{7} \) µF
Question 5
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
D. 37.5 g
Question 6
A particle of mass 2 kg moves in a circular path of radius 3 m with a cons\tant speed of 4 m/s. Find the magnitude of the centripetal force acting on the particle.
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 7
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. $2x$
B. $x/2$
C. $x/3$
D. $x/4$
Question 8
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
B. 450 K
C. 500 K
D. 550 K
Question 9
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
C. 6 m/s^2
D. 8 m/s^2
Question 10
A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 30 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
C. 0.8 A
D. 1.2 A
Question 11
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
C. ( 2 ) rad/s
D. ( 5 ) rad/s
Question 12
A 12 V battery is connected in series with a 4 Ω resistor and a 6 Ω resistor. Find the current flowing through the circuit.
A. 1.5 A
B. 2.0 A
C. 2.5 A
D. 3.0 A
Question 13
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If a potential difference of 10 V is applied across the plates, calculate the capaci\tance.
A. 2.5 x 10^-10 F
B. 5.0 x 10^-10 F
C. 1.0 x 10^-9 F
D. 2.0 x 10^-9 F
Question 14
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?
A. $\sqrt{\frac{k}{m}}$
B. $\sqrt{\frac{m}{k}}$
C. $\frac{k}{m}$
D. $\frac{m}{k}$
Question 15
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?
A. \( 10 \sqrt{2} \) µF
B. \( 10 \sqrt{3} \) µF
C. \( 10 \sqrt{5} \) µF
D. \( 10 \sqrt{7} \) µF

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