POST UTME OAU 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A point charge of +2 μC is placed at the origin of a coordinate system. A second point charge of -3 μC is placed at a dis\tance of 0.5 m from the origin. What is the magnitude of the electric field at a point 0.2 m from the origin?
A. 100 N/C
B. 200 N/C
C. 300 N/C
D. 400 N/C
Question 2
A light source is placed 2 m away from a convex mirror with a focal length of 0.5 m. What is the image dis\tance?
A. d_i = 1 m
B. d_i = 2 m
C. d_i = 3 m
D. d_i = 4 m
Question 3
A radioactive sample has a half-life of 10 years. If the initial activity is 100 Bq, what is the activity after 20 years?
A. 25 Bq
B. 50 Bq
C. 75 Bq
D. 100 Bq
Question 4
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. The magnitude of the force acting on the particle is
A. 8 N
B. 12 N
C. 16 N
D. 20 N
Question 5
A block of mass $m$ is placed on a frictionless surface and a horizontal force $F$ is applied to it. If the block accelerates at a rate of $a$, find the force $F$.
A. \( ma \)
B. \( \frac{ma}{2} \)
C. \( \frac{ma}{3} \)
D. \( \frac{ma}{4} \)
Question 6
A gas is compressed from an initial volume of 2 m^3 to a final volume of 1 m^3. If the initial pressure is 100 kPa and the final pressure is 200 kPa, what is the work done on the gas?
A. W = 100 kJ
B. W = 200 kJ
C. W = 300 kJ
D. W = 400 kJ
Question 7
A gas is heated from 20°C to 50°C at cons\tant volume. If the initial pressure is 1 atm, what is the final pressure?
A. 1 atm
B. 2 atm
C. 3 atm
D. 4 atm
Question 8
A circuit consists of a resistor $R$ and an inductor $L$ connected in series. If the current $I$ is increa\sing at a rate of $\frac{dI}{dt}$, find the voltage $V$ across the inductor.
A. \( L\frac{dI}{dt} \)
B. \( \frac{L}{R}\frac{dI}{dt} \)
C. \( \frac{L}{R^2}\frac{dI}{dt} \)
D. \( \frac{L}{R^3}\frac{dI}{dt} \)
Question 9
A 100 Ω resistor is connected in parallel with a 200 Ω resistor. The equivalent resis\tance of the circuit is
A. 50 Ω
B. 66.67 Ω
C. 100 Ω
D. 200 Ω
Question 10
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. The maximum height reached by the projectile is
A. 10 m
B. 15 m
C. 20 m
D. 25 m
Question 11
A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. If the total resis\tance is 60 Ω, what is the value of the unknown resistor?
A. 5 Ω
B. 10 Ω
C. 20 Ω
D. 30 Ω
Question 12
A 100 W bulb is connected to a 230 V mains supply. What is the current drawn by the bulb?
A. 0.4 A
B. 0.5 A
C. 0.6 A
D. 0.7 A
Question 13
A 5 μF capacitor is connected in series with a 10 Ω resistor. If a 12 V battery is connected across the circuit, what is the time cons\tant?
A. 0.2 s
B. 0.5 s
C. 1 s
D. 2 s
Question 14
A sound wave has a frequency of 200 Hz and a speed of 340 m/s. If the amplitude of the wave is 0.01 m, calculate the intensity of the wave.
A. 10^-3 W/m^2
B. 10^-4 W/m^2
C. 10^-5 W/m^2
D. 10^-6 W/m^2
Question 15
A wire of length 2 m and resis\tance 5 Ω is connected in series with a 10 Ω resistor and a 20 Ω resistor. If a voltage of 12 V is applied across the circuit, what is the current flowing through the 20 Ω resistor?
A. 0.2 A
B. 0.4 A
C. 0.6 A
D. 0.8 A

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