POST UTME AAUA 2024 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A block of mass 5 kg is attached to a horizontal spring with a spring cons\tant of 200 N/m. If the block is displaced by 0.2 m from its equilibrium position and released, 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 2
A parallel plate capacitor has a capaci\tance of 2 μF. If a potential difference of 10 V is applied across the plates, what is the charge stored on the capacitor?
A. 20 μC
B. 40 μC
C. 60 μC
D. 80 μC
Question 3
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 4
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 5
A light ray passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 20°
B. 30°
C. 40°
D. 50°
Question 6
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 7
A thermodynamic system undergoes a cyclic process, where it absorbs 100 J of heat energy at 300 K and then releases 150 J of heat energy at 400 K. What is the change in entropy of the system?
A. 0.5 J/K
B. 1 J/K
C. 1.5 J/K
D. 2 J/K
Question 8
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 9
A 2 kg object is moving in a circular path with a cons\tant speed of 4 m/s. If the radius of the circle is 1 m, what is the magnitude of the force acting on the object?
A. 2 N
B. 4 N
C. 6 N
D. 8 N
Question 10
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 11
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 12
A sound wave with a frequency of 200 Hz and a wavelength of 0.5 m is traveling through a medium. If the speed of the wave is 340 m/s, what is the amplitude of the wave?
A. 0.05 m
B. 0.1 m
C. 0.15 m
D. 0.2 m
Question 13
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
Question 14
A 5 Ω resistor is connected in series with a 10 V battery. If the internal resis\tance of the battery is 2 Ω, what is the current flowing through the circuit?
A. 0.5 A
B. 1 A
C. 1.25 A
D. 2 A
Question 15
A point charge of 2 μC is placed at the center of a conducting sphere of radius 0.1 m. Calculate the electric field at the surface of the sphere.
A. 10^4 N/C
B. 10^5 N/C
C. 10^6 N/C
D. 10^7 N/C

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