POST UTME VERITAS UNIVERSITY 2019 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 2
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 force acting on the particle?
A. 10 N
B. 20 N
C. 30 N
D. 40 N
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 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 5
A gas of $N$ molecules is confined to a container of volume $V$. The molecules are assumed to be non-interacting and have a mass $m$. The temperature of the gas is $T$. What is the average kinetic energy of the molecules?
A. \frac{3}{2} k_B T
B. \frac{1}{2} k_B T
C. \frac{1}{3} k_B T
D. \frac{2}{3} k_B T
Question 6
A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. If the particle is displaced by 0.2 m from its equilibrium position and released from rest, calculate the time taken for the particle to reach its maximum velocity.
A. 0.1 s
B. 0.2 s
C. 0.3 s
D. 0.4 s
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 subject to a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 8
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 9
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 10
A 2 kg block is attached to a horizontal spring with a spring cons\tant of 100 N/m. If the block is displaced by 5 cm from its equilibrium position and released, what is the maximum speed?
A. 0.5 m/s
B. 1 m/s
C. 1.5 m/s
D. 2 m/s
Question 11
A particle of mass 1 kg is moving in a circular path with a radius of 0.5 m. If the particle is moving at a speed of 2 m/s, calculate the centripetal acceleration.
A. 2 m/s²
B. 4 m/s²
C. 6 m/s²
D. 8 m/s²
Question 12
A 10 mH inductor is connected in series with a 20 Ω resistor and a 100 V AC source. If the frequency of the source is 50 Hz, what is the impedance of the circuit?
A. 20 Ω
B. 30 Ω
C. 40 Ω
D. 50 Ω
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 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. What is the equivalent resis\tance?
A. 10 Ω
B. 20 Ω
C. 30 Ω
D. 60 Ω
Question 15
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

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