POST UTME JOSEPH AYO BABALOLA UNIVERSITY 2019 Physics | Objective
Practice these randomly selected questions to test your readiness.
Question 1
A thermodynamic system undergoes a process from state A to state B, where the initial temperature is $T_1 = 300 K$ and the final temperature is $T_2 = 400 K$. If the change in entropy is $\Delta S = 100 J/K$, calculate the heat transfer $Q$ u\sing the formula $\Delta S = \frac{Q}{T}$.
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. If the particle is subjected to a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?
Question 3
A charged particle of mass 2 kg and charge 3 C is moving in a magnetic field of strength 2 T. If the particle experiences a force of 15 N, what is the magnitude of the velocity of the particle?
Question 4
A block of mass $10 \text{ kg}$ is attached to a horizontal spring with a force cons\tant of $100 \text{ N m}^{-1}$. If the block is displaced by $0.5 \text{ m}$ from its equilibrium position and released from rest, calculate the maximum speed of the block.
Question 5
A radioactive sample of $^{238} \text{U}$ has an initial activity of $1.0 \times 10^4 \text{ Bq}$. If the half-life of $^{238} \text{U}$ is $4.5 \times 10^9 \text{ years}$, calculate the activity of the sample after $1.0 \times 10^9 \text{ years}$.
Question 6
A quantum mechanical system is described by the wave function $\psi(x) = Ae^{ikx}$, where $A$ is a cons\tant and $k$ is the wave number. If the energy of the system is $E = \hbar^2 k^2 / 2m$, calculate the momentum $p$ u\sing the formula $p = \hbar k$.
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. What is the magnitude of the force acting on the particle?
Question 8
A gas at $20^{circ}C$ is compressed adiabatically from an initial volume of $2.0 \times 10^{-3} \text{ m}^3$ to a final volume of $1.0 \times 10^{-3} \text{ m}^3$. If the gas cons\tant is $8.314 \text{ J K}^{-1} \text{ mol}^{-1}$ and the initial pressure is $1.0 \times 10^5 \text{ Pa}$, calculate the final pressure of the gas.
Question 9
A magnetic field is produced by a current-carrying wire. If the current is $I = 2 A$ and the length of the wire is $L = 1 m$, calculate the magnetic field strength $B$ u\sing the formula $B = \frac{\mu_0 I}{2 \pi r}$, where $r$ is the dis\tance from the wire.
Question 10
A 100 Ω resistor is connected in parallel with a 200 Ω resistor. If a 10 V DC source is applied across the circuit, what is the current in the 100 Ω resistor?
Question 11
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. Find the magnitude of the centripetal acceleration $a_c$ of the particle.
Question 12
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 experiences a centripetal acceleration of 2 m/s^2, what is the magnitude of the net force acting on the particle?
Question 13
A charged particle of mass 1 kg and charge 2 C is moving in a magnetic field of strength 5 T. If the particle experiences a force of 10 N, what is the magnitude of the velocity of the particle?
Question 14
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 angular frequency $omega$ of the particle's motion.
Question 15
A particle of mass $m$ is moving in a straight line with a cons\tant acceleration $a$. Find the velocity $v$ of the particle after a time $t$.
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