POST UTME ELIZADE UNIVERSITY 2021 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A 5 kg block is moving in a circular path of radius 2 m with a cons\tant speed of 4 m/s. Calculate the magnitude of the force acting on the block.
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 2
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 3
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 current in the circuit?
A. 0.5 A
B. 1 A
C. 2 A
D. 5 A
Question 4
A ray of light passes through a prism with an angle of incidence of 30° and an angle of re\fraction of 20°. If the re\fractive index of the prism is 1.5, calculate the angle of emergence.
A. 40°
B. 45°
C. 50°
D. 55°
Question 5
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 6
A block of mass 5 kg is attached to a horizontal spring with a spring cons\tant of 100 N/m. If the block is displaced by 2 m from its equilibrium position and released, calculate the maximum speed of the block.
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 7
A beam of light is incident on a glass slab of thickness $d$ and re\fractive index $n$. The angle of incidence is $\theta_i$. What is the angle of re\fraction?
A. \frac{n_1}{n_2} \theta_i
B. \frac{n_2}{n_1} \theta_i
C. \frac{\sin \theta_i}{n_2}
D. \frac{n_1}{n_2} \sin \theta_i
Question 8
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 9
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 10
A circuit consists of a 12 V battery, a 4 Ω resistor, and an inductor of induc\tance 2 H. The circuit is closed at time $t = 0$. What is the current in the circuit at time $t = 5$ s?
A. 0.5 A
B. 1 A
C. 1.5 A
D. 2 A
Question 11
A parallel plate capacitor consists of two plates, each of area 0.04 m^2, separated by a dis\tance of 0.02 m. The space between the plates is filled with a dielectric material of dielectric cons\tant 2.5. Calculate the capaci\tance of the capacitor.
A. 1.6 x 10^-10 F
B. 3.2 x 10^-10 F
C. 4.8 x 10^-10 F
D. 6.4 x 10^-10 F
Question 12
A uniform magnetic field of magnitude 2.0 T is directed along the z-axis. A current of 5.0 A flows in a circular loop of radius 0.20 m, placed in the x-y plane. What is the magnitude of the magnetic moment of the loop?
A. 0.10 A m^2
B. 0.20 A m^2
C. 0.30 A m^2
D. 0.40 A m^2
Question 13
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 14
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 15
A charged particle with a charge of 2 μC is moving in a circular path with a radius of 2 m. If the particle is subjected to a magnetic field with a strength of 1 T, what is the speed of the particle?
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s

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