POST UTME VERITAS UNIVERSITY 2025 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A circuit consists of a 15 V battery, a 6 Ω resistor, and a 3 Ω resistor connected in parallel. Calculate the total resis\tance of the circuit.
A. 3 Ω
B. 4 Ω
C. 5 Ω
D. 6 Ω
Question 2
A capacitor consists of two parallel plates, each of area 0.2 m^2, separated by a dis\tance of 0.02 m. If the capaci\tance of the capacitor is 2 \times 10^-6 F, what is the charge stored on the capacitor when a potential difference of 200 V is applied across it?
A. 4 \times 10^-6 C
B. 4 \times 10^-5 C
C. 4 \times 10^-4 C
D. 4 \times 10^-3 C
Question 3
A capacitor consists of two parallel plates of area $A$ and separation $d$. The plates are charged to a potential difference $V$. What is the capaci\tance of the capacitor?
A. \frac{\epsilon_0 A}{d}
B. \frac{\epsilon_0 A}{2d}
C. \frac{2\epsilon_0 A}{d}
D. \frac{\epsilon_0 A}{3d}
Question 4
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. Calculate the magnitude of the centripetal acceleration acting on the particle.
A. 10 m/s^2
B. 20 m/s^2
C. 30 m/s^2
D. 40 m/s^2
Question 5
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The ground state wave function of the particle is given by $psi_0(x) = \sqrt{\frac{2}{L}} \sinleft\( \frac{pi x}{L}\right \)$. What is the expectation value of the position operator $hat{x}$ in the ground state?
A. 0
B. \frac{L}{2}
C. L
D. \frac{L}{\pi}
Question 6
A charged particle of mass $m$ and charge $q$ is moving in a uniform magnetic field $\vec{B} = B_0 \hat{z}$. The particle's velocity is given by $\vec{v} = v_0 \hat{x}$. What is the particle's trajectory?
A. A circle centered at the origin
B. A circle centered at the origin with radius $\frac{mv_0}{qB_0}$
C. A straight line parallel to the x-axis
D. A parabola opening upwards
Question 7
A simple harmonic motion has a frequency of 2 Hz and an amplitude of 5 cm. What is the angular frequency of the motion?
A. 4π rad/s
B. 8π rad/s
C. 12π rad/s
D. 16π rad/s
Question 8
A vector $\vec{A}$ has a magnitude of $5$ units and makes an angle of $30^\circ$ with the positive $x$-axis. If a vector $\vec{B}$ has a magnitude of $3$ units and makes an angle of $60^\circ$ with the positive $x$-axis, what is the magnitude of the sum of $\vec{A}$ and $\vec{B}$?
A. 5
B. 6
C. 7
D. 8
Question 9
A projectile is launched from the origin with an initial velocity $v_0$ at an angle $\theta$ above the horizontal. What is the maximum height reached by the projectile?
A. \frac{v_0^2 \sin^2 \theta}{2g}
B. \frac{v_0^2 \cos^2 \theta}{2g}
C. \frac{v_0^2 \sin \theta}{2g}
D. \frac{v_0^2 \cos \theta}{2g}
Question 10
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. 15 m/s^2
B. 30 m/s^2
C. 45 m/s^2
D. 60 m/s^2
Question 11
A capacitor consists of two parallel plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 m. If the capaci\tance of the capacitor is 10^-6 F, what is the charge stored on the capacitor when a potential difference of 100 V is applied across it?
A. 10^-6 C
B. 10^-5 C
C. 10^-4 C
D. 10^-3 C
Question 12
A charged particle of mass $m$ and charge $q$ is moving in a circular path of radius $r$ in a uniform magnetic field of strength $B$. If the particle's velocity is $v$, what is the magnitude of the magnetic force acting on it?
A. 0
B. \frac{q v^2}{r}
C. \frac{q v B}{2 \pi r}
D. \frac{q B}{2 \pi r}
Question 13
A capacitor of capaci\tance $C$ is connected in series with a resistor of resis\tance $R$ and a battery of emf $\epsilon$. If the capacitor is initially uncharged, what is the time cons\tant of the circuit?
A. RC
B. \frac{RC}{2}
C. \frac{2RC}{3}
D. \frac{3RC}{4}
Question 14
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The wave function of the particle is given by $psi(x) = \sqrt{\frac{2}{L}} \sinleft\( \frac{npi x}{L}\right \)$. What is the expectation value of the position of the particle?
A. 0
B. L/2
C. L
D. nπL/2
Question 15
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. 12 m/s^2
C. 18 m/s^2
D. 24 m/s^2

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