POST UTME WELLSPRING UNIVERSITY 2025 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A particle of mass $m$ is moving in a simple harmonic motion with a frequency $f$. If the particle is displaced by a dis\tance $x$ from its equilibrium position, what is the potential energy of the particle?
A. \( U = \frac{1}{2}momega^2x^2 \)
B. \( U = \frac{1}{2}momega^2x \)
C. \( U = momega^2x \)
D. \( U = \frac{1}{2}momega^2 \)
Question 2
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 A
C. 1.5 A
D. 2 A
Question 3
A capacitor is connected to a battery and a resistor. If the capaci\tance is 10 μF, the resis\tance is 100 Ω, and the voltage is 10 V, what is the current flowing through the circuit?
A. 0.1 A
B. 0.2 A
C. 0.3 A
D. 0.4 A
Question 4
A wave is described by the equation \( y = A\sin\( kx - omega t \ \) ). If the wave is traveling in the positive $x$-direction, what is the direction of the group velocity?
A. The group velocity is in the positive $x$-direction
B. The group velocity is in the negative $x$-direction
C. The group velocity is in the positive $y$-direction
D. The group velocity is in the negative $y$-direction
Question 5
A block of mass $m$ is susp\ended from a spring with spring cons\tant $k$. The block is displaced by a dis\tance $x_0$ from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, what is the maximum kinetic energy of the block?
A. \frac{1}{2} m \omega^2 x_0^2
B. \frac{1}{2} m k x_0^2
C. \frac{1}{2} k x_0^2
D. \frac{1}{2} m x_0^2
Question 6
A nucleus of mass number 20 has a binding energy of 100 MeV. If the nucleus is split into two fragments of mass number 10 each, what is the kinetic energy of each fragment?
A. 50 MeV
B. 75 MeV
C. 100 MeV
D. 125 MeV
Question 7
A photon of energy 2 eV is incident on a metal surface with a work function of 1 eV. If the photon is absorbed by an electron, what is the kinetic energy of the electron?
A. 0.5 eV
B. 1 eV
C. 1.5 eV
D. 2 eV
Question 8
A parallel plate capacitor has plates of area 0.04 m^2 and separation 2 mm. If the capaci\tance is 2.5 nF, what is the value of the dielectric cons\tant?
A. 1.6
B. 2.5
C. 3.2
D. 4.0
Question 9
A 5.0 kg block is moving at a speed of 2.0 m/s when it collides with a 2.0 kg block that is initially at rest. If the collision is perfectly elastic, what is the speed of the 5.0 kg block after the collision?
A. 1.00 m/s
B. 1.50 m/s
C. 2.00 m/s
D. 3.00 m/s
Question 10
A convex lens of focal length 20 cm forms an image of an object at a dis\tance of 30 cm. What is the magnification of the lens?
A. -1
B. -0.5
C. 0.5
D. 1
Question 11
A thermodynamic system undergoes a process from state A to state B. If the system's internal energy increases by 100 J and the work done on the system is 50 J, what is the change in the system's enthalpy?
A. 150 J
B. 200 J
C. 250 J
D. 300 J
Question 12
A gas is confined to a container with a volume of 2 L. If the temperature is increased by 20°C, what is the new volume of the gas?
A. 2.4 L
B. 2.6 L
C. 2.8 L
D. 3.0 L
Question 13
A gas is contained in a cylinder of volume $V$ with a movable piston. The gas is heated, cau\sing its temperature to increase by $\Delta T$. Assuming the gas is ideal and the piston is frictionless, what is the change in pressure of the gas?
A. \frac{nR\Delta T}{V}
B. \frac{n\Delta T}{V}
C. \frac{R\Delta T}{V}
D. \frac{nRT}{V}
Question 14
A capacitor is charged to a potential difference of 12 V. If the capaci\tance is 2.5 μF, what is the energy stored in the capacitor?
A. 0.03 J
B. 0.06 J
C. 0.09 J
D. 0.12 J
Question 15
A particle of mass $m$ is in a one-dimensional potential well of depth $V_0$. If the particle is in the ground state, what is the expectation value of its position?
A. \( langle x \rangle = 0 \)
B. \( langle x \rangle = \frac{L}{2} \)
C. \( langle x \rangle = \frac{L}{4} \)
D. \( langle x \rangle = \frac{3L}{4} \)

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