POST UTME KSU 2022 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
In a series RLC circuit, the impedance is given by \( Z = \sqrt{R^2 + \( X_L - X_C \ \)^2} ). If the resis\tance is 10 Ω, the inductive reac\tance is 20 Ω, and the capacitive reac\tance is 15 Ω, what is the impedance of the circuit?
A. 25 Ω
B. 30 Ω
C. 35 Ω
D. 40 Ω
Question 2
A radioactive sample of Uranium-238 has a half-life of 4.5 billion years. If the initial activity of the sample is 1000 Bq, what is the activity after 9 billion years?
A. 125 Bq
B. 250 Bq
C. 500 Bq
D. 1000 Bq
Question 3
A circuit consists of a 10 Ω resistor, a 20 Ω inductor, and a 15 Ω capacitor connected in series. If a potential difference of 20 V is applied across the circuit, what is the current flowing through the circuit?
A. 0.5 A
B. 0.6 A
C. 0.7 A
D. 0.8 A
Question 4
A gas is enclosed in a container with a movable piston. The gas is heated at cons\tant pressure. What is the relationship between the initial and final volumes of the gas?
A. V1 = V2
B. V1 > V2
C. V1 < V2
D. V1 = kV2
Question 5
A force of 10 N is applied to an object of mass 5 kg, cau\sing it to accelerate at 2 m/s^2. Determine the work done by the force in moving the object a dis\tance of 3 m.
A. 15 J
B. 20 J
C. 25 J
D. 30 J
Question 6
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 current in the circuit?
A. 0.5 A
B. 1.0 A
C. 1.5 A
D. 2.0 A
Question 7
A 1000 μF capacitor is connected in parallel with a 2000 μF capacitor. If a 12 V battery is connected across the circuit, what is the equivalent capaci\tance?
A. 1000 μF
B. 2000 μF
C. 3000 μF
D. 4000 μF
Question 8
A projectile is launched from the origin with an initial velocity $v_0$ at an angle $\theta$ above the horizontal. What is the maximum height reached by the projectile?
A. \( \frac{v_0^2 \sin^2 \theta}{2g} \)
B. \( \frac{v_0^2 \cos^2 \theta}{2g} \)
C. \( \frac{v_0^2 \sin \theta}{2g} \)
D. \( \frac{v_0^2 \cos \theta}{2g} \)
Question 9
A parallel plate capacitor has a capaci\tance of 10 μF. The potential difference between the plates is 5 V. What is the charge on the positive plate?
A. 0.05 C
B. 0.1 C
C. 0.15 C
D. 0.2 C
Question 10
A 100 W light bulb is connected to a 220 V power source. What is the current flowing through the bulb?
A. 0.45 A
B. 0.5 A
C. 0.55 A
D. 0.6 A
Question 11
A 100 W bulb is connected to a 220 V AC supply. If the bulb is rated for 1000 hours of operation, what is the total energy consumed by the bulb in kWh?
A. 1.0 kWh
B. 2.0 kWh
C. 3.0 kWh
D. 4.0 kWh
Question 12
A parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 20 V is applied across it, what is the charge stored on the plates?
A. 0.2 C
B. 0.4 C
C. 0.6 C
D. 0.8 C
Question 13
A block of mass 2 kg is attached to a horizontal spring with a spring cons\tant of 100 N/m. 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. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 14
A radioactivity experiment involves the decay of a sample of uranium-238. If the half-life of uranium-238 is 4.5 billion years, how many half-lives will have passed if the sample has decayed to 1/64 of its original mass?
A. 3 half-lives
B. 4 half-lives
C. 5 half-lives
D. 6 half-lives
Question 15
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_1\( x \ \) = \sqrt{\frac{2}{L}} \sinleft\( \frac{pi x}{L}\right \)). What is the probability of finding the particle in the region $0 < x < \frac{L}{4}$?
A. \( \frac{1}{2} \)
B. \( \frac{1}{4} \)
C. \( \frac{1}{8} \)
D. \( \frac{1}{16} \)

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Help others prepare! Share this practice hub: