POST UTME SKYLINE UNIVERSITY 2024 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A circuit consists of a resistor, an inductor, and a capacitor connected in series. The resis\tance of the resistor is 10 Ω, the inductive reac\tance is 20 Ω, and the capacitive reac\tance is 15 Ω. Calculate the impedance of the circuit.
A. 25 Ω
B. 30 Ω
C. 35 Ω
D. 40 Ω
Question 2
A 2 kg block is attached to a horizontal spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.5 m from its equilibrium position, calculate the potential energy stored in the spring.
A. 12.5 J
B. 25 J
C. 50 J
D. 100 J
Question 3
A capacitor consists of two parallel plates, each of area 0.01 m^2, separated by a dis\tance of 0.001 m. The capaci\tance of the capacitor is given by C = ε0A/d. Calculate the capaci\tance of the capacitor.
A. 10^-9 F
B. 10^-10 F
C. 10^-11 F
D. 10^-12 F
Question 4
A circuit consists of a 12 V battery, a 4 Ω resistor, and a capacitor with capaci\tance C. The circuit is connected in series. Find the current in the circuit when the switch is closed.
A. \frac{12}{4+\frac{1}{C\omega}}
B. \frac{12}{4-\frac{1}{C\omega}}
C. \frac{12}{4+\frac{1}{C\omega^2}}
D. \frac{12}{4-\frac{1}{C\omega^2}}
Question 5
A particle of mass 1 kg is moving in a circular path of radius 2 m with a cons\tant speed of 3 m/s. If the particle is subject to a centripetal force of 6 N, what is the magnitude of the acceleration of the particle?
A. 3 m/s^2
B. 4 m/s^2
C. 5 m/s^2
D. 6 m/s^2
Question 6
A particle of mass $m$ is attached to a spring with spring cons\tant $k$. The particle is displaced by a dis\tance $x$ from its equilibrium position and released from rest. Assuming the motion is simple harmonic, find the angular frequency of the particle's motion.
A. \sqrt{k/m}
B. k/m
C. m/k
D. \sqrt{m/k}
Question 7
A 1000 W heater is connected to a 240 V AC supply. If the power factor is 0.8, calculate the current drawn from the supply.
A. 4.17 A
B. 5.12 A
C. 6.25 A
D. 7.69 A
Question 8
A circuit consists of a 10 Ω resistor and a 20 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 A
Question 9
A circuit consists of a 12 V battery, a 4 Ω resistor, and an inductor with induc\tance L. The circuit is connected in series. Find the current in the circuit when the switch is closed.
A. \frac{12}{4+L\omega}
B. \frac{12}{4-L\omega}
C. \frac{12}{4+L\omega^2}
D. \frac{12}{4-L\omega^2}
Question 10
A block of mass 5 kg is placed on a frictionless surface and a horizontal force of 10 N is applied to it. What is the acceleration of the block?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 11
A body is in equilibrium under the action of two forces, one of magnitude 10 N and the other of magnitude 15 N. Calculate the angle between the two forces.
A. 30°
B. 45°
C. 60°
D. 75°
Question 12
A particle of mass m is moving in a circular path of radius r with a cons\tant speed v. Find the force exerted on the particle by the centripetal force.
A. \frac{mv^2}{r}
B. \frac{mr^2}{v}
C. \frac{v^2}{mr}
D. \frac{r^2}{mv}
Question 13
A s\tanding wave is formed by a string fixed at both \ends. If the wavelength of the wave is 2 m, calculate the length of the string.
A. 1 m
B. 2 m
C. 3 m
D. 4 m
Question 14
A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. It is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the angular frequency of the particle's motion.
A. 1 rad/s
B. 2 rad/s
C. 5 rad/s
D. 10 rad/s
Question 15
A radioactive sample has a half-life of 5 years. If the initial activity is 100 Bq, calculate the activity after 10 years.
A. 12.5 Bq
B. 25 Bq
C. 50 Bq
D. 100 Bq

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