POST UTME ELIZADE UNIVERSITY 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A radioactive sample of Δₗ emits Δₗα particles. If the half-life of Δₗ is 5.27 × 10¹ years, what is the decay cons\tant λ?
A. \( λ = 1.32 × 10¹ \text{yr}^{-1} \)
B. \( λ = 2.64 × 10¹ \text{yr}^{-1} \)
C. \( λ = 5.27 × 10¹ \text{yr}^{-1} \)
D. \( λ = 1.05 × 10¹ \text{yr}^{-1} \)
Question 2
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 3
A radioactive sample decays according to the equation $N(t) = N_0 e^{-\lambda t}$, where $N(t)$ is the number of nuclei remaining at time $t$, $N_0$ is the initial number of nuclei, and $\lambda$ is the decay cons\tant. If $N_0 = 1000$ and $\lambda = 0.1$ s$^{-1}$, find the number of nuclei remaining after 5 seconds.
A. 1000
B. 900
C. 800
D. 700
Question 4
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 5
A particle of mass m is moving in a circular path of radius r with a cons\tant speed v. What is the magnitude of the force acting on the particle?
A. mv^2/r
B. mv/r
C. mvr
D. mv^2
Question 6
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 7
A light ray passes through a prism with an angle of incidence of 30°. The prism has an angle of re\fraction of 20°. What is the angle of deviation of the light ray?
A. 10°
B. 15°
C. 20°
D. 25°
Question 8
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 9
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 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 magnetic field is produced by a current-carrying wire. The magnetic field strength at a dis\tance of 0.1 m from the wire is given by \( B = \frac{\mu_0 I}{2\pi r} \ \), where \( \mu_0 \) is the magnetic cons\tant, ( I ) is the current, and ( r ) is the dis\tance from the wire. If the current is 2 A and the magnetic cons\tant is \( 4\pi \times 10^{-7} \ \) Tm/A, what is the magnetic field strength at the given dis\tance?
A. 1.6\times 10^{-5} \) T
B. 1.6\times 10^{-4} \) T
C. 1.6\times 10^{-3} \) T
D. 1.6\times 10^{-2} \) T
Question 13
A beam 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°
Question 14
A 10 kg object is placed on a spring scale, and the reading on the scale is 50 N. If the object is then placed on a surface with a coefficient of friction of 0.5, calculate the force of friction.
A. 20 N
B. 30 N
C. 40 N
D. 50 N
Question 15
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

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