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POST UTME ELIZADE UNIVERSITY 2023 Physics | Objective

Are you preparing for POST UTME ELIZADE UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2023 Physics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

A block of mass 2 kg is attached to a horizontal, massless 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. Assuming the block undergoes simple harmonic motion, calculate the maximum speed of the block as it passes through the equilibrium position.

A. 2 m/s

Correct B. 4 m/s

C. 6 m/s

D. 8 m/s

Correct Answer: B

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Question 2

A parallel plate capacitor consists of two plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 m. The space between the plates is filled with a dielectric material of dielectric cons\tant 2. If a potential difference of 10 V is applied across the capacitor, calculate the capaci\tance.

A. 0.01 F

Correct B. 0.02 F

C. 0.03 F

D. 0.04 F

Correct Answer: B

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Question 3

A radioactive sample decays at a rate given by the equation: dN/dt = -λN, where N is the number of nuclei and λ is the decay cons\tant. If the initial number of nuclei is 1000 and the decay cons\tant is 0.1 s^-1, calculate the number of nuclei remaining after 10 s.

A. 100

B. 200

Correct C. 300

D. 400

Correct Answer: C

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Question 4

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

Correct B. 4 s

C. 6 s

D. 8 s

Correct Answer: B

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Question 5

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

Correct C. 1.5 A

D. 2 A

Correct Answer: C

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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

Correct B. 2.5

C. 5.0

D. 10.0

Correct Answer: B

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Question 7

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°

Correct C. 40°

D. 50°

Correct Answer: C

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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

Correct C. 30 N

D. 40 N

Correct Answer: C

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Question 9

A wave has a frequency of 50 Hz and a wavelength of 0.2 m. What is the speed of the wave?

A. 10 m/s

B. 20 m/s

Correct C. 30 m/s

D. 40 m/s

Correct Answer: C

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Question 10

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

Correct B. 1.0 A

C. 1.5 A

D. 2.0 A

Correct Answer: B

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Question 11

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} $

Correct C. $ λ = 5.27 × 10¹ \text{yr}^{-1} $

D. $ λ = 1.05 × 10¹ \text{yr}^{-1} $

Correct Answer: C

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Question 12

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?

Correct A. $ R_{\text{eq}} = 8 Ω $

B. $ R_{\text{eq}} = 10 Ω $

C. $ R_{\text{eq}} = 12 Ω $

D. $ R_{\text{eq}} = 6 Ω $

Correct Answer: A

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Question 13

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 $

Correct 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 $

Correct Answer: B

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Question 14

A 100 W light bulb is connected to a 220 V power source. What is the current drawn by the bulb?

Correct A. $ I = 0.45 \text{ A} $

B. $ I = 0.55 \text{ A} $

C. $ I = 0.65 \text{ A} $

D. $ I = 0.75 \text{ A} $

Correct Answer: A

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Question 15

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} $

Correct C. $ v = 17 \text{ m/s} $

D. $ v = 19 \text{ m/s} $

Correct Answer: C

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Question 16

A particle of mass m is confined to a one-dimensional box of length L. If the particle is in the ground state, what is the expectation value of its position?

A. 0

Correct B. L/2

C. L

D. Not defined

Correct Answer: B

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Question 17

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?

Correct A. R + jωL + 1/jωC

B. R + jωL - 1/jωC

C. R - jωL + 1/jωC

D. R - jωL - 1/jωC

Correct Answer: A

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Question 18

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?

Correct A. mv^2/r

B. mv/r

C. mvr

D. mv^2

Correct Answer: A

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Question 19

A wave function ψ(x) is given by ψ(x) = Ae^(ikx). What is the probability density of the wave function?

Correct 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)

Correct Answer: A

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Question 20

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

Correct C. ω = √$ k/m $

D. ω = √$ 1/m $

Correct Answer: C

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Question 21

A particle of mass $m$ is attached to a spring with spring cons\tant $k$. The particle is displaced from its equilibrium position by a dis\tance $x_0$ and released from rest. Assuming the motion is simple harmonic, find the angular frequency of the particle's motion.

Correct A. \sqrt{\frac{k}{m}}

B. \frac{k}{m}

C. \frac{m}{k}

D. \frac{1}{\sqrt{mk}}

Correct Answer: A

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Question 22

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

Correct B. 900

C. 800

D. 700

Correct Answer: B

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Question 23

A charged particle of mass $m$ and charge $q$ is moving in a magnetic field $\vec{B}$ with magnitude $B$ and direction $\hat{z}$. If the particle has velocity $\vec{v} = v_0 \hat{x}$, find the force acting on the particle.

Correct A. q v_0 B \hat{y}

B. -q v_0 B \hat{y}

C. q v_0 B \hat{x}

D. -q v_0 B \hat{x}

Correct Answer: A

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Question 24

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.

Correct A. \frac{C}{2}

B. 2C

C. C

D. 4C

Correct Answer: A

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Question 25

A sound wave has frequency $f$ and wavelength $\lambda$. If the wave is reflected from a surface, find the frequency of the reflected wave.

Correct A. f

B. 2f

C. \frac{f}{2}

D. \frac{f}{4}

Correct Answer: A

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