POST UTME ELIZADE UNIVERSITY 2021 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A gas expands from an initial volume of 0.1 m^3 to a final volume of 0.5 m^3 against an external pressure of 2 x 10^5 Pa. Calculate the work done by the gas.
A. 100 J
B. 200 J
C. 300 J
D. 400 J
Question 2
A photon of energy 2.5 eV is incident on a metal surface. The work function of the metal is 1.8 eV. What is the maximum kinetic energy of the photoelectrons emitted?
A. 0.20 eV
B. 0.30 eV
C. 0.40 eV
D. 0.50 eV
Question 3
A 2 kg block 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 motion is simple harmonic, calculate the maximum speed of the block.
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 4
A 100 μF capacitor is connected in series with a 10 Ω resistor and a 20 V AC source. If the frequency of the AC source is 50 Hz, what is the reac\tance of the capacitor?
A. 10 Ω
B. 20 Ω
C. 50 Ω
D. 100 Ω
Question 5
A capacitor with a capaci\tance of 10 μF is connected to a battery with a voltage of 12 V. If the capacitor is initially uncharged, what is the charge on the capacitor after 5 seconds?
A. 0.12 C
B. 0.24 C
C. 0.36 C
D. 0.48 C
Question 6
A lens of focal length $f$ is placed in a beam of light. The object dis\tance is $u$ and the image dis\tance is $v$. What is the magnification of the lens?
A. \frac{v}{u}
B. \frac{u}{v}
C. \frac{f}{u}
D. \frac{f}{v}
Question 7
A 10 kg block is moving in a straight line with an initial velocity of 5 m/s. After 2 seconds, the block has a velocity of 3 m/s. Assuming a cons\tant acceleration, calculate the acceleration of the block.
A. 1 m/s^2
B. 2 m/s^2
C. 3 m/s^2
D. 4 m/s^2
Question 8
A 2.5 mH inductor is connected in series with a 10 Ω resistor and a 20 V AC source. If the frequency of the AC source is 50 Hz, what is the impedance of the circuit?
A. 5 Ω
B. 10 Ω
C. 15 Ω
D. 20 Ω
Question 9
A vector \vec{A} has a magnitude of 3 m and is directed at an angle of 60° to the x-axis. If a second vector \vec{B} has a magnitude of 4 m and is directed at an angle of 30° to the x-axis, what is the magnitude of the resul\tant vector \vec{A} + \vec{B}?
A. 5 m
B. 6 m
C. 6.3 m
D. 7 m
Question 10
A ray of light passes from air into a glass slab at an angle of incidence of 30°. If the re\fractive index of glass is 1.5, calculate the angle of re\fraction.
A. 20°
B. 25°
C. 30°
D. 35°
Question 11
A particle of mass 2 kg is moving in a circular path of radius 3 m with a cons\tant speed of 4 m/s. If the particle is subject to a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?
A. 6 m/s^2
B. 8 m/s^2
C. 10 m/s^2
D. 12 m/s^2
Question 12
A car of mass 1500 kg is traveling at a speed of 25 m/s when it encounters a hill with a height of 100 m. If the car is subject to a force of friction of 500 N, what is the minimum speed of the car at the top of the hill?
A. 10 m/s
B. 15 m/s
C. 20 m/s
D. 25 m/s
Question 13
A gas of $n$ molecules is enclosed in a container of volume $V$. The molecules are in thermal equilibrium with a heat reservoir at temperature $T$. The average kinetic energy of the molecules is given by $\frac{3}{2} k T$, where $k$ is the Boltzmann cons\tant. What is the average potential energy of the molecules?
A. -\frac{3}{2} k T
B. 0
C. \frac{3}{2} k T
D. \frac{5}{2} k T
Question 14
A magnetic field of 0.5 T is applied to a coil of wire with 100 turns. If the coil has a resis\tance of 5 Ω and a self-induc\tance of 0.2 H, what is the induced emf in the coil when the current is changing at a rate of 2 A/s?
A. -0.2 V
B. -0.4 V
C. -0.6 V
D. -0.8 V
Question 15
A radioactive sample has a half-life of 5 years. If the initial activity is 100 Bq, what is the activity after 10 years?
A. 20 Bq
B. 30 Bq
C. 40 Bq
D. 50 Bq

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