POST UTME UNIOSUN 2021 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A 1000 Ω resistor is connected in series with a 20 μF capacitor and a 50 Ω resistor. What is the resonant frequency of the circuit?
A. 100 Hz
B. 200 Hz
C. 500 Hz
D. 1000 Hz
Question 2
A particle of mass 2 kg is moving in a circular path of radius 3 m with a speed of 4 m/s. What is the magnitude of the force acting on the particle?
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 3
A 2 kg block is attached to a horizontal spring with a force 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. 1.0 m/s
B. 1.5 m/s
C. 2.0 m/s
D. 2.5 m/s
Question 4
A circuit consists of a 12 V battery, a 4 Ω resistor, and an inductor of induc\tance 2 H. The circuit is connected to a switch that is initially open. At time $t = 0$, the switch is closed. What is the current in the circuit at $t = 1$ s?
A. 2 A
B. 4 A
C. 6 A
D. 8 A
Question 5
A 1000 Hz AC voltage source is connected to a 50 Ω resistor in series with a 20 μF capacitor. What is the impedance of the circuit at resonance?
A. 50 Ω
B. 20 Ω
C. 10 Ω
D. 5 Ω
Question 6
A particle of mass m is moving in a circular orbit of radius r under the influence of a central force F(r) = k/r^2. What is the angular momentum of the particle?
A. L = mvr
B. L = mvr^2
C. L = mvr^3
D. L = mvr^4
Question 7
A 10 kg object is moving with a velocity of 5 m/s. What is its kinetic energy?
A. 25 J
B. 50 J
C. 75 J
D. 100 J
Question 8
A uniform solid sphere of radius R and mass M is placed at the bottom of a deep well. The well is filled with a fluid of density α. What is the pressure at the bottom of the well?
A. P = πgR^2
B. P = πgR
C. P = πg
D. P = πgR^3
Question 9
A vector A has a magnitude of 5 units and makes an angle of 30° with the positive x-axis. What is the x-component of vector A?
A. 4 units
B. 5 units
C. 6 units
D. 7 units
Question 10
A particle of mass $m$ is moving in a straight line with a velocity $v$. The particle is subject to a force $F = -kv$, where $k$ is a positive cons\tant. What is the acceleration of the particle?
A. \( -kv \)
B. \( -k\frac{v^2}{m} \)
C. \( -\frac{k}{m}v \)
D. \( \frac{k}{m}v \)
Question 11
A circuit consists of a 12 V battery, a 4 Ω resistor, and an inductor with induc\tance $L$. The circuit is connected to a switch that is initially open. At $t = 0$, the switch is closed, and the current in the circuit \begins to increase. If the time cons\tant of the circuit is $RC = 0.1$ s, what is the current in the circuit at $t = 0.05$ s?
A. 0.5 A
B. 1 A
C. 1.5 A
D. 2 A
Question 12
A 5 Ω resistor and a 10 Ω resistor are connected in series to a 12 V battery. U\sing Kirchhoff's Laws, calculate the current through the 5 Ω resistor.
A. 0.6 A
B. 0.8 A
C. 1.2 A
D. 1.6 A
Question 13
A wave with a frequency of 50 Hz and a wavelength of 0.2 m is traveling through a medium. What is the speed of the wave?
A. 10 m/s
B. 20 m/s
C. 30 m/s
D. 40 m/s
Question 14
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. If the current is 2 A, what is the power dissipated by the 4 Ω resistor?
A. 4 W
B. 6 W
C. 8 W
D. 10 W
Question 15
A ray of light 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°

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