POST UTME OAU 2018 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A gas is confined to a container with a volume of 2.5 L. If the temperature of the gas is increased from 20°C to 50°C, and the pressure is increased from 1 atm to 2 atm, calculate the new volume of the gas.
A. 5 L
B. 10 L
C. 15 L
D. 20 L
Question 2
A charged particle of mass 1 kg and charge 2 C is moving in a magnetic field of strength 5 T. The particle has a velocity of 3 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 100 W light bulb is connected to a 220 V AC source. Calculate the current flowing through the bulb.
A. 0.5 A
B. 1 A
C. 2 A
D. 4 A
Question 4
A particle of mass 1 kg is moving in a potential energy function U(x) = 2x^2 + 5x. If the particle is initially at x = 2 m, what is the force acting on the particle at x = 3 m?
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 5
A parallel plate capacitor has plates of area $A$ and separation $d$. If the capaci\tance is $C$, find the value of the dielectric cons\tant $kappa$.
A. \frac{Cd}{\epsilon_0A}
B. \frac{\epsilon_0A}{Cd}
C. \frac{Cd}{\epsilon_0}
D. \frac{\epsilon_0}{Cd}
Question 6
A particle of mass 1 kg is moving in a circular path of radius 2 m with a cons\tant speed of 3 m/s. Calculate the magnitude of the centripetal acceleration acting on the particle.
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 7
A 10 μF capacitor is connected in series with a 20 Ω resistor and a 100 V battery. If the switch is closed at t = 0, what is the time cons\tant of the circuit?
A. 0.2 s
B. 0.4 s
C. 0.6 s
D. 0.8 s
Question 8
A circuit consists of a resistor $R$ and an inductor $L$ connected in series. The circuit is driven by a voltage source $V(t) = V_0 \cos\( \omega t \)$. If the induc\tance is $L = 0.1 H$ and the resis\tance is $R = 10 \Omega$, calculate the impedance $Z$ of the circuit.
A. \sqrt{R^2 + \omega^2 L^2}
B. \sqrt{R^2 - \omega^2 L^2}
C. \sqrt{R^2 + \frac{1}{\omega^2 L^2}}
D. \sqrt{R^2 - \frac{1}{\omega^2 L^2}}
Question 9
A circuit consists of a $10\Omega$ resistor, a $20\Omega$ resistor, and a $5\Omega$ resistor connected in parallel. If the voltage across the $10\Omega$ resistor is $10V$, find the current through the $5\Omega$ resistor.
A. 0.2A
B. 0.4A
C. 0.6A
D. 0.8A
Question 10
A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 5 V. What is the energy stored in the capacitor?
A. 0.25 J
B. 0.5 J
C. 1 J
D. 2 J
Question 11
A 100 V, 10 A current source is connected in series with a 20 Ω resistor and a 30 Ω resistor. What is the total resis\tance in the circuit?
A. 40 Ω
B. 50 Ω
C. 60 Ω
D. 70 Ω
Question 12
A capacitor of capaci\tance 10 μF is connected in series with a resistor of resis\tance 20 Ω. If a voltage of 50 V is applied across the circuit, what is the current flowing through the circuit?
A. 0.25 A
B. 0.5 A
C. 1 A
D. 2 A
Question 13
A circuit consists of a resistor $R$ and a capacitor $C$ connected in series. The circuit is driven by a voltage source $V(t) = V_0 \cos\( \omega t \)$. If the capaci\tance is $C = 0.1 F$ and the resis\tance is $R = 10 \Omega$, calculate the reac\tance $X_C$ of the capacitor.
A. \frac{1}{\omega C}
B. \omega C
C. \sqrt{\frac{1}{\omega C}}
D. \sqrt{\omega C}
Question 14
A 100 V, 10 A current source is connected in parallel with a 20 Ω resistor and a 30 Ω resistor. What is the total current in the circuit?
A. 10 A
B. 15 A
C. 20 A
D. 25 A
Question 15
A magnetic field is produced by a current-carrying wire. If the current is $I$ and the dis\tance from the wire is $r$, find the magnetic field strength $B$.
A. \frac{\mu_0I}{2\pi r}
B. \frac{2\pi r}{\mu_0I}
C. \frac{\mu_0I}{r}
D. \frac{r}{\mu_0I}

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