POST UTME UNIOSUN 2021 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A wave with a frequency of 50 Hz and a wavelength of 0.2 m is traveling through a medium. What is the speed of the wave?
A. 10 m/s
B. 20 m/s
C. 30 m/s
D. 40 m/s
Question 2
A uniform magnetic field of magnitude 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. 0.5 A m^2
B. 1 A m^2
C. 2 A m^2
D. 5 A m^2
Question 3
A simple harmonic motion is described by the equation $x(t) = A\cos\( omega t + phi \)$, where $A$ is the amplitude, $omega$ is the angular frequency, and $phi$ is the phase angle. If the motion is periodic with a period $T = \frac{2pi}{omega}$, what is the value of $phi$?
A. 0
B. \frac{pi}{2}
C. pi
D. \frac{3pi}{2}
Question 4
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The time-indep\endent Schrödinger equation for this system is given by $-\frac{hbar^2}{2m}\frac{d^2psi(x)}{dx^2} = Epsi(x)$, where $psi(x)$ is the wave function of the particle. If the energy of the particle is $E_n = \frac{n^2pi^2hbar^2}{2mL^2}$, what is the value of $n$ for the ground state?
A. 1
B. 2
C. 3
D. 4
Question 5
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. If the current is 2 A, what is the power dissipated by the 4 Ω resistor?
A. 4 W
B. 6 W
C. 8 W
D. 10 W
Question 6
A ray of light passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 20°
B. 30°
C. 40°
D. 50°
Question 7
A 2 kg block is attached to a horizontal spring with a force cons\tant of 100 N/m. 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. 1.0 m/s
B. 1.5 m/s
C. 2.0 m/s
D. 2.5 m/s
Question 8
A particle of mass $m$ is moving in a straight line with a velocity $v$. The particle is subject to a force $F = -kv$, where $k$ is a positive cons\tant. What is the acceleration of the particle?
A. \( -kv \)
B. \( -k\frac{v^2}{m} \)
C. \( -\frac{k}{m}v \)
D. \( \frac{k}{m}v \)
Question 9
A radioactive sample has a half-life of 10 years. If the initial activity of the sample is 100 Bq, what is the activity of the sample after 20 years?
A. 25 Bq
B. 50 Bq
C. 75 Bq
D. 100 Bq
Question 10
A vector A has a magnitude of 5 units and makes an angle of 30° with the positive x-axis. What is the x-component of vector A?
A. 4 units
B. 5 units
C. 6 units
D. 7 units
Question 11
A beam of light is incident on a prism at an angle of incidence θ. The re\fracted beam is deviated by an angle δ. What is the angle of re\fraction θ'?
A. θ' = θ + δ
B. θ' = θ - δ
C. θ' = θ - δ
D. θ' = θ + δ
Question 12
A charged particle of mass m and charge q is moving in a magnetic field B. What is the force experienced by the particle?
A. F = qvB
B. F = qvB^2
C. F = qvB^3
D. F = qvB^4
Question 13
A circuit consists of a 12 V battery, a 4 Ω resistor, and an inductor of induc\tance 2 H. The circuit is connected to a switch that is initially open. At time $t = 0$, the switch is closed. What is the current in the circuit at $t = 1$ s?
A. 2 A
B. 4 A
C. 6 A
D. 8 A
Question 14
A particle of mass $m$ is moving in a circular orbit of radius $r$ with a speed $v$. If the particle is subject to a centripetal force $F_c = \frac{mv^2}{r}$, what is the kinetic energy of the particle?
A. \frac{1}{2}mv^2
B. mv^2
C. \frac{1}{2}mvr
D. mvr
Question 15
A 1000 Ω resistor is connected in series with a 20 μF capacitor and a 50 Ω resistor. What is the resonant frequency of the circuit?
A. 100 Hz
B. 200 Hz
C. 500 Hz
D. 1000 Hz

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