POST UTME AAUA 2024 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A 100 V AC source is connected to a 50 Ω resistor. What is the current flowing through the resistor?
A. 2 A
B. 4 A
C. 6 A
D. 8 A
Question 2
A 10 mH inductor is connected to a 100 V AC source. What is the impedance of the circuit?
A. 10 Ω
B. 20 Ω
C. 30 Ω
D. 40 Ω
Question 3
A sound wave with a frequency of 200 Hz and a wavelength of 5 m is traveling through a medium. What is the speed of the sound wave?
A. 1000 m/s
B. 2000 m/s
C. 3000 m/s
D. 4000 m/s
Question 4
A 50 Ω resistor is connected in parallel with a 100 Ω resistor. If the voltage across the 50 Ω resistor is 10 V, what is the current flowing through the 100 Ω resistor?
A. 0.2 A
B. 0.4 A
C. 0.6 A
D. 0.8 A
Question 5
A 1000 J of heat energy is transferred to a system at a temperature of 300 K. If the system is in thermal equilibrium with its surroundings, what is the change in entropy of the system?
A. 1 J/K
B. 2 J/K
C. 3 J/K
D. 4 J/K
Question 6
A particle of mass 2 kg is attached to a spring with spring cons\tant 100 N/m. It is displaced by 0.5 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the maximum kinetic energy of the particle.
A. 0.5 J
B. 1 J
C. 1.5 J
D. 2 J
Question 7
A magnetic field is described by the equation $vec{B} = \( 2hat{i} + 3hat{j} \) \times 10^{-3}$ T. What is the magnitude of the magnetic field?
A. 3.61 µT
B. 4.24 µT
C. 5.00 µT
D. 6.36 µT
Question 8
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. 10 m/s^2
B. 12 m/s^2
C. 15 m/s^2
D. 20 m/s^2
Question 9
A block of mass 5 kg is placed on a frictionless surface and connected 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. 10 m/s
B. 15 m/s
C. 20 m/s
D. 25 m/s
Question 10
A simple harmonic motion is described by the equation $x(t) = A \cos\( omega t + phi \)$. If the amplitude is $A = 2$ cm, the angular frequency is $omega = 3$ rad/s, and the phase angle is $phi = pi/4$, what is the displacement of the particle at $t = 1$ s?
A. 1.41 cm
B. 2.83 cm
C. 4.24 cm
D. 5.66 cm
Question 11
A capacitor consists of two parallel plates, each of area 0.1 m², separated by a dis\tance of 0.01 m. If the capaci\tance is 10 μF, what is the charge on the plates?
A. 10 μC
B. 20 μC
C. 30 μC
D. 40 μC
Question 12
A magnetic field is produced by a current-carrying wire. If the current is 2 A and the wire is 0.5 m long, what is the magnetic field strength at a dis\tance of 0.2 m from the wire?
A. 0.1 T
B. 0.2 T
C. 0.3 T
D. 0.4 T
Question 13
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The wave function of the particle is given by (psi(x) = \sqrt{\frac{2}{L}} \sinleft\( \frac{npi x}{L}\right \)). What is the expectation value of the position operator for this particle?
A. L/2
B. nπL/2
C. nπL/2 + L/2
D. nπL/2 - L/2
Question 14
A \tank is filled with water to a height of 5 m. If the density of water is 1000 kg/m^3, what is the pressure at the bottom of the \tank?
A. 5000 Pa
B. 10000 Pa
C. 15000 Pa
D. 20000 Pa
Question 15
A radioactive sample has a half-life of 10 years. If the initial activity is 100 Bq, what is the activity after 20 years?
A. 50 Bq
B. 25 Bq
C. 12.5 Bq
D. 6.25 Bq

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