POST UTME ELIZADE UNIVERSITY 2017 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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.
A. \sqrt{\frac{k}{m}}
B. \frac{k}{m}
C. \frac{m}{k}
D. \frac{1}{\sqrt{mk}}
Question 2
A magnetic field of 0.5 T is applied to a coil of 100 turns and radius 0.1 m. Calculate the induced emf in the coil.
A. 0.1 V
B. 0.5 V
C. 1 V
D. 5 V
Question 3
A magnetic field is generated by a current-carrying wire. Which of the following statements is true about the direction of the magnetic field?
A. The magnetic field lines are parallel to the wire.
B. The magnetic field lines are perp\endicular to the wire.
C. The magnetic field lines are at an angle to the wire.
D. The magnetic field lines are circular around the wire.
Question 4
A circuit consists of a battery, a resistor, and a switch. The switch is closed, and the circuit is connected. Which of the following statements is true about the current flowing through the circuit?
A. The current flowing through the circuit is zero.
B. The current flowing through the circuit is cons\tant.
C. The current flowing through the circuit increases over time.
D. The current flowing through the circuit decreases over time.
Question 5
A capacitor consists of two parallel plates separated by a dis\tance $d$. The plates have a charge $Q$ and a capaci\tance $C$. Assuming the electric field between the plates is uniform, find the potential difference between the plates.
A. \frac{Q}{C}
B. \frac{C}{Q}
C. \frac{d}{C}
D. \frac{C}{d}
Question 6
A particle of mass $m$ is in a one-dimensional potential well of depth $V_0$. Assuming the particle is in the ground state, find the energy of the particle.
A. \frac{\hbar^2}{2m} \left\( \frac{\pi}{L} \right \)^2
B. \frac{\hbar^2}{2m} \left\( \frac{2\pi}{L} \right \)^2
C. \frac{\hbar^2}{2m} \left\( \frac{3\pi}{L} \right \)^2
D. \frac{\hbar^2}{2m} \left\( \frac{4\pi}{L} \right \)^2
Question 7
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 subjected 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 8
A convex lens of focal length 20 cm is used to form an image of an object placed 30 cm in front of it. What is the magnification of the image?
A. -0.5
B. -1
C. -1.5
D. -2
Question 9
A 1000-turn coil of wire is placed in a magnetic field with a flux density of 0.5 T. If the coil is rotated by 90°, what is the change in magnetic flux through the coil?
A. 0 Wb
B. 0.5 Wb
C. 100 Wb
D. 500 Wb
Question 10
A parallel plate capacitor is connected to a battery of 12 V. If the dis\tance between the plates is 5 mm and the area of each plate is 0.01 m^2, calculate the capaci\tance u\sing the formula C = \( varepsilon_0 \frac{A}{d} \) where \( varepsilon_0 \) is the permittivity of free space.
A. 1.6 x 10^-11 F
B. 1.6 x 10^-10 F
C. 1.6 x 10^-9 F
D. 1.6 x 10^-8 F
Question 11
A magnetic field of 0.5 T is applied to a coil of wire with 100 turns. If the coil has a radius of 0.1 m, what is the magnetic flux through the coil?
A. 0.05 Wb
B. 0.1 Wb
C. 0.2 Wb
D. 0.5 Wb
Question 12
A ray of light passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction u\sing Snell's law.
A. 20°
B. 25°
C. 30°
D. 35°
Question 13
A beam of light passes through a prism and is re\fracted. The angle of incidence is $i$ and the angle of re\fraction is $r$. Assuming the prism is made of glass with a re\fractive index $n$, find the angle of deviation.
A. \( n-1 \)\( i-r \)
B. \( n-1 \)\( i+r \)
C. \( n+1 \)\( i-r \)
D. \( n+1 \)\( i+r \)
Question 14
A particle of mass 1 kg is moving in a circular path of radius 2 m with a cons\tant speed of 5 m/s. If the particle is subjected to a centripetal force of 15 N, what is the magnitude of the acceleration of the particle?
A. 10 m/s^2
B. 12 m/s^2
C. 15 m/s^2
D. 18 m/s^2
Question 15
A beam of light is incident on a prism at an angle of 30°. If the re\fractive index of the prism is 1.5, what is the angle of re\fraction?
A. 20°
B. 30°
C. 40°
D. 50°

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