POST UTME VERITAS UNIVERSITY 2019 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A simple harmonic motion has a maximum displacement of 5 cm and a frequency of 2 Hz. If the amplitude is halved, what is the new frequency?
A. 1 Hz
B. 2 Hz
C. 3 Hz
D. 4 Hz
Question 2
A wave function for a particle in a one-dimensional box is given by the equation $\psi(x) = A \sin \left\( \frac{n \pi x}{L} \right \)$, where $A$ is a cons\tant, $n$ is an integer, and $L$ is the length of the box. If the particle is in the ground state \( $n = 1$ \), what is the probability of finding the particle in the region $0 < x < L/2$?
A. 1/2
B. 1/4
C. 3/4
D. 1/4
Question 3
A radioactive sample decays at a rate given by the equation $N(t) = N_0 e^{-kt}$, where $N(t)$ is the number of nuclei remaining at time $t$, $N_0$ is the initial number of nuclei, and $k$ is the decay cons\tant. If the half-life of the sample is 10 minutes, what is the value of $k$?
A. 0.0693 min^{-1}
B. 0.0693 h^{-1}
C. 0.693 min^{-1}
D. 0.693 h^{-1}
Question 4
A light ray passes through a prism with an angle of incidence of 30° and an angle of re\fraction of 20°. If the angle of the prism is 60°, calculate the angle of deviation.
A. 10°
B. 20°
C. 30°
D. 40°
Question 5
A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. The circuit is driven by an AC voltage source with a frequency $f$. What is the impedance of the circuit?
A. \sqrt{R^2 + \( \omega L - \frac{1}{\omega C} \)^2}
B. R + L + C
C. R - L + C
D. R + L - C
Question 6
A uniform magnetic field of strength 2 T is directed along the z-axis. A current of 5 A flows in a circular loop of radius 0.1 m, placed in the x-y plane. What is the magnitude of the magnetic moment of the loop?
A. 0.1 A m^2
B. 0.2 A m^2
C. 0.5 A m^2
D. 1 A m^2
Question 7
A particle is projected from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If the acceleration due to gravity is 9.8 m/s², what is the time of flight?
A. 2 s
B. 3 s
C. 4 s
D. 5 s
Question 8
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 probability of finding the particle in the region $0 < x < \frac{L}{2}$?
A. 0
B. \frac{1}{2}
C. \frac{2}{3}
D. 1
Question 9
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. If the particle experiences a centripetal force $F_c = \frac{mv^2}{r}$, what is the magnitude of the acceleration of the particle?
A. \frac{v^2}{r}
B. \frac{mv^2}{r^2}
C. \frac{mv^2}{r}
D. \frac{v^2}{r^2}
Question 10
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in parallel. If the circuit is closed, what is the current flowing through the 4 Ω resistor?
A. 1 A
B. 2 A
C. 3 A
D. 4 A
Question 11
A 2 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position and released from rest, what is the maximum speed of the block?
A. 0.5 m/s
B. 1.0 m/s
C. 1.5 m/s
D. 2.0 m/s
Question 12
A charged particle moves through a uniform magnetic field. If the particle's velocity is perp\endicular to the magnetic field, what is the direction of the force exerted on the particle?
A. East
B. West
C. North
D. South
Question 13
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. What is the magnitude of the centripetal acceleration?
A. 2 m/s²
B. 4 m/s²
C. 6 m/s²
D. 8 m/s²
Question 14
A heat engine operates between two temperatures of 500 K and 300 K. If the efficiency of the engine is 30%, what is the work done by the engine per cycle?
A. 100 J
B. 200 J
C. 300 J
D. 400 J
Question 15
A light wave with wavelength $\lambda$ and frequency $f$ is incident on a double-slit apparatus. The slits are separated by a dis\tance $d$ and the screen is placed a dis\tance $L$ away from the slits. What is the angle of the first minimum in the interference pattern?
A. \frac{\lambda}{d}
B. \frac{d}{\lambda}
C. \frac{2\lambda}{d}
D. \frac{d}{2\lambda}

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