POST UTME VERITAS UNIVERSITY 2025 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A particle of mass $m$ is moving in a one-dimensional potential $V(x) = kx^2$. What is the force $F(x)$?
A. -2mkx
B. 2mkx
C. -mkx
D. mkx
Question 2
A gas expands from an initial volume $V_i$ to a final volume $V_f$ at a cons\tant temperature $T$. What is the change in internal energy $\Delta U$?
A. 0
B. \frac{p_i V_i - p_f V_f}{T}
C. \frac{p_i V_i + p_f V_f}{T}
D. \frac{p_i V_i - p_f V_f}{T}
Question 3
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 4
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 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 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 7
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 8
A 100 W light bulb is connected to a 220 V power source. What is the current flowing through the bulb?
A. 0.5 A
B. 1 A
C. 2 A
D. 4 A
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 wave has a frequency of 50 Hz and a wavelength of 0.2 m. Calculate the speed of the wave.
A. 10 m/s
B. 20 m/s
C. 30 m/s
D. 40 m/s
Question 11
A wave has a frequency of 50 Hz and a wavelength of 0.2 m. What is the speed of the wave?
A. 10 m/s
B. 20 m/s
C. 30 m/s
D. 40 m/s
Question 12
A particle of mass 0.5 kg is moving in a circular path of radius 2 m with a speed of 4 m/s. What is the centripetal force acting on the particle?
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 13
A capacitor consists of two parallel plates of area $A$ separated by a dis\tance $d$. If the plates are charged to a potential difference $V$, what is the energy stored $U$?
A. \frac{1}{2} \frac{Q^2}{C}
B. \frac{Q^2}{C}
C. \frac{1}{2} C Q^2
D. C Q^2
Question 14
A gas is contained in a cylinder of volume 2.5 L at a temperature of 300 K. The gas is heated to a temperature of 400 K. What is the new volume of the gas?
A. 3.0 L
B. 3.5 L
C. 4.0 L
D. 4.5 L
Question 15
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}

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