POST UTME BOWEN UNIVERSITY 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A particle of mass 0.5 kg is attached to a spring with a spring cons\tant of 100 N/m. It is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the total energy of the particle at time t = 0.
A. 10 J
B. 20 J
C. 30 J
D. 40 J
Question 2
A particle of mass 2 kg is attached to a spring with a force cons\tant of 100 N/m. If the particle is displaced by 0.2 m from its equilibrium position and released from rest, what is its angular frequency?
A. 2 rad/s
B. 5 rad/s
C. 10 rad/s
D. 20 rad/s
Question 3
A 5 μF capacitor is connected in series with a 10 kΩ resistor and a 20 V battery. If the initial charge on the capacitor is 0 C, calculate the time taken for the charge to reach 10 μC.
A. 0.1 s
B. 0.5 s
C. 1 s
D. 2 s
Question 4
A body is moving in a circular path with a radius of 2 m. If the body completes one revolution in 4 s, what is its angular velocity?
A. 1.57 rad/s
B. 3.14 rad/s
C. 4.71 rad/s
D. 6.28 rad/s
Question 5
A 100 V AC supply is connected across a 50 Ω resistor. If the current through the resistor is 2 A, what is the power dissipated by the resistor?
A. 100 W
B. 150 W
C. 200 W
D. 250 W
Question 6
A particle of mass 1 kg is in a one-dimensional potential well given by V(x) = 0 for 0 ≤ x ≤ 2 m and V(x) = ∞ for x < 0 and x > 2 m. Determine the ground-state energy of the particle.
A. 0.1 J
B. 0.2 J
C. 0.3 J
D. 0.4 J
Question 7
A convex lens of focal length 20 cm is used to form an image of an object placed 30 cm in front of it. Calculate the magnification of the image.
A. 0.5
B. 1
C. 2
D. 3
Question 8
A coil of wire with $N$ turns and radius $r$ carries a current $I$. The magnetic field at the center of the coil is given by $B = \frac{\mu_0 N I}{2r}$. What is the magnetic flux through the coil?
A. \frac{\mu_0 N I A}{2r}
B. \frac{\mu_0 N I}{2r}
C. \frac{\mu_0 N I A}{r}
D. \frac{\mu_0 N I}{r}
Question 9
A 5 Ω resistor is connected in parallel with a 10 Ω resistor. If a voltage of 20 V is applied across the combination, what is the current through the 5 Ω resistor?
A. 2 A
B. 3 A
C. 4 A
D. 5 A
Question 10
A beam of light passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, determine the angle of re\fraction.
A. 20°
B. 25°
C. 30°
D. 35°
Question 11
A heat engine operates between the temperatures of 500 K and 300 K. If the engine absorbs 1000 J of heat energy, what is its efficiency?
A. 0.25
B. 0.33
C. 0.4
D. 0.5
Question 12
A circuit consists of a 12 V battery, a 4 Ω resistor, and an inductor with an induc\tance of 0.5 H. If the current in the circuit is 2 A, what is the voltage drop across the inductor?
A. 6 V
B. 8 V
C. 10 V
D. 12 V
Question 13
A \tank is filled with water to a height of $h$. The pressure at the bottom of the \tank is given by $P = \rho gh$, where $\rho$ is the density of water and $g$ is the acceleration due to gravity. What is the pressure at the bottom of the \tank?
A. \rho gh
B. \frac{\rho gh}{2}
C. \frac{\rho g}{h}
D. \frac{\rho}{gh}
Question 14
A 50 Ω resistor is connected in parallel with a 100 Ω resistor. If a 10 V battery is connected across the combination, what is the total current drawn from the battery?
A. 0.2 A
B. 0.4 A
C. 0.6 A
D. 0.8 A
Question 15
A 2 kg block is moving in a straight line with a speed of 5 m/s. If a force of 10 N is applied to the block, what is its acceleration?
A. 2 m/s^2
B. 3 m/s^2
C. 4 m/s^2
D. 5 m/s^2

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