POST UTME ELIZADE UNIVERSITY 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A simple harmonic motion is given by x(t) = A \cos\( ωt + φ \). What is the angular frequency ω?
A. ω = 2πf
B. ω = 2π/T
C. ω = √\( k/m \)
D. ω = √\( 1/m \)
Question 2
A parallel plate capacitor has capaci\tance $C$ and is charged to a potential difference $V$. If the dis\tance between the plates is increased by a factor of 2, find the new capaci\tance.
A. \frac{C}{2}
B. 2C
C. C
D. 4C
Question 3
A wave function ψ(x) is given by ψ(x) = Ae^(ikx). What is the probability density of the wave function?
A. |ψ(x)|^2 = A^2
B. |ψ(x)|^2 = A^2e^(2ikx)
C. |ψ(x)|^2 = A^2e^\( -2ikx \)
D. |ψ(x)|^2 = A^2e^(ikx)
Question 4
A circuit consists of a resistor R, an inductor L, and a capacitor C connected in series. If the frequency of the AC source is f, what is the impedance of the circuit?
A. R + jωL + 1/jωC
B. R + jωL - 1/jωC
C. R - jωL + 1/jωC
D. R - jωL - 1/jωC
Question 5
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 centripetal force acting on the particle?
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 6
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the current flowing through the circuit?
A. 0.5 A
B. 1.0 A
C. 1.5 A
D. 2.0 A
Question 7
A sound wave with a frequency of 200 Hz is traveling through a medium with a speed of 340 m/s. What is the wavelength of the sound wave?
A. 1.7 m
B. 1.7 cm
C. 1.7 km
D. 1.7 μm
Question 8
A particle of mass 1 kg is moving in a straight line with an initial velocity of 5 m/s. If the particle experiences a cons\tant acceleration of 2 m/s^2, what is its velocity after 3 seconds?
A. \( v = 13 \text{ m/s} \)
B. \( v = 15 \text{ m/s} \)
C. \( v = 17 \text{ m/s} \)
D. \( v = 19 \text{ m/s} \)
Question 9
A resistor with a resis\tance of 10 Ω is connected in series with a capacitor with a capaci\tance of 100 μF. If an alternating current with a frequency of 50 Hz is applied, what is the impedance of the circuit?
A. 10 Ω
B. 100 Ω
C. 1000 Ω
D. 10000 Ω
Question 10
A particle of mass 1 kg is moving in a circular path of radius 2 m with a cons\tant speed of 4 m/s. If the particle is subject to a centripetal force of 10 N, calculate the time taken for the particle to complete one revolution.
A. 2 s
B. 4 s
C. 6 s
D. 8 s
Question 11
A parallel circuit consists of two resistors, each of resis\tance 10 Ω, connected in series with a 20 Ω resistor. If a voltage of 10 V is applied across the circuit, calculate the current flowing through the 20 Ω resistor.
A. 0.5 A
B. 1 A
C. 1.5 A
D. 2 A
Question 12
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 centripetal acceleration?
A. \( a_c = 0.8 \text{ m/s}^2 \)
B. \( a_c = 1.6 \text{ m/s}^2 \)
C. \( a_c = 2.4 \text{ m/s}^2 \)
D. \( a_c = 3.2 \text{ m/s}^2 \)
Question 13
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 2.5 x 10^-10 F, what is the dielectric cons\tant of the material between the plates?
A. 1.25
B. 2.5
C. 5.0
D. 10.0
Question 14
A capacitor has a capaci\tance of 10 μF and is connected to a battery with a voltage of 5 V. What is the charge stored on the capacitor?
A. 50 μC
B. 100 μC
C. 150 μC
D. 200 μC
Question 15
A 12 V battery is connected to a 4 Ω resistor in series with a 6 Ω resistor. What is the equivalent resis\tance of the circuit?
A. \( R_{\text{eq}} = 8 Ω \)
B. \( R_{\text{eq}} = 10 Ω \)
C. \( R_{\text{eq}} = 12 Ω \)
D. \( R_{\text{eq}} = 6 Ω \)

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