POST UTME OSUSTECH 2022 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A magnetic field of 0.5 T is applied to a coil of 100 turns and 0.1 m radius. Calculate the induced emf in the coil.
A. 0.1 V
B. 0.5 V
C. 1 V
D. 2 V
Question 2
A particle of mass $m$ is moving in a circular orbit of radius $r$ with angular velocity $\omega$. Find the force $F$ exerted on the particle by the centripetal acceleration.
A. mω^2r
B. mω^2/r
C. mv^2/r
D. mv^2ω/r
Question 3
A particle of mass $m$ is attached to a spring with spring cons\tant $k$. If the particle is displaced by a dis\tance $x$ and released from rest, what is the equation of motion?
A. \( m\frac{d^2x}{dt^2} + kx = 0 \)
B. \( m\frac{d^2x}{dt^2} - kx = 0 \)
C. \( m\frac{d^2x}{dt^2} + \frac{k}{m}x = 0 \)
D. \( m\frac{d^2x}{dt^2} - \frac{k}{m}x = 0 \)
Question 4
A magnetic field is produced by a current-carrying wire. If the current is $I$ and the dis\tance from the wire is $r$, what is the magnitude of the magnetic field?
A. \( \frac{mu_0 I}{2pi r} \)
B. \( \frac{2pi r}{mu_0 I} \)
C. \( \frac{mu_0 I}{r} \)
D. \( \frac{r}{mu_0 I} \)
Question 5
A circuit consists of a 100 Ω resistor, a 200 Ω resistor, and a 100 μF capacitor connected in series. Calculate the time cons\tant of the circuit.
A. 0.1 s
B. 0.2 s
C. 0.5 s
D. 1 s
Question 6
A thermodynamic system undergoes a process from state A to state B. The initial temperature is 300 K and the final temperature is 400 K. If the change in entropy is 100 J/K, what is the change in internal energy?
A. -1000 J
B. -500 J
C. 500 J
D. 1000 J
Question 7
A wave function $\psi(x)$ is given by $\psi(x) = Ae^{ikx}$. Find the probability density $\rho(x)$ of the wave function.
A. |A|^2
B. A^2
C. Ae^{ikx}
D. Ae^{-ikx}
Question 8
A particle of mass $m$ is attached to a spring with spring cons\tant $k$. The particle is displaced from its equilibrium position by a dis\tance $x_0$ and released from rest. Assuming the motion is simple harmonic, find the time $t$ at which the particle's kinetic energy is equal to its potential energy.
A. π/2ω
B. π/4ω
C. π/ω
D. 2π/ω
Question 9
A 50 Hz AC generator produces an emf given by \( epsilon = 120 \sin \( 2 pi ft \ \) ), where ( f ) is the frequency in Hz and ( t ) is time in seconds. If the maximum emf is 100 V, what is the value of ( f )?
A. 20 Hz
B. 25 Hz
C. 30 Hz
D. 50 Hz
Question 10
A parallel plate capacitor has plates of area $A$ and separation $d$. If the capaci\tance is $C$, what is the value of the dielectric cons\tant $K$?
A. \( K = \frac{Cd}{epsilon_0 A} \)
B. \( K = \frac{epsilon_0 A}{Cd} \)
C. \( K = \frac{Cd}{epsilon_0 A} + 1 \)
D. \( K = \frac{epsilon_0 A}{Cd} + 1 \)
Question 11
A wave function is given by ( psi(x) = Ae^{ikx} ). If the wave function is normalized, what is the value of the cons\tant $A$?
A. \( A = \sqrt{\frac{1}{2pi}} \)
B. \( A = \sqrt{\frac{2pi}{1}} \)
C. \( A = \sqrt{\frac{1}{2pi}} + 1 \)
D. \( A = \sqrt{\frac{2pi}{1}} + 1 \)
Question 12
A 2 kg block is attached to a horizontal spring with a force 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 of the block?
A. 0.5 m/s
B. 1 m/s
C. 1.5 m/s
D. 2 m/s
Question 13
A gas at 300 K expands from 1 L to 2 L against a cons\tant external pressure of 1 atm. Calculate the work done by the gas.
A. 0.5 L atm
B. 1 L atm
C. 2 L atm
D. 3 L atm
Question 14
A gas is contained in a cylinder of volume $V$ and is heated from temperature $T_1$ to $T_2$. Assuming the gas is ideal and the process is adiabatic, find the final temperature $T_2$ in terms of $T_1$, $V$, and the adiabatic index $\gamma$.
A. T_1\( \frac{V_2}{V_1} \)^{\frac{\gamma - 1}{\gamma}}
B. T_1\( \frac{V_1}{V_2} \)^{\frac{\gamma - 1}{\gamma}}
C. T_1\( \frac{V_2}{V_1} \)^{\frac{1}{\gamma - 1}}
D. T_1\( \frac{V_1}{V_2} \)^{\frac{1}{\gamma - 1}}
Question 15
A capacitor of 100 μF is connected across a 200 V DC supply. Calculate the energy stored in the capacitor.
A. 0.02 J
B. 0.04 J
C. 0.06 J
D. 0.08 J

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Help others prepare! Share this practice hub: