POST UTME LASU 2022 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A simple harmonic motion is described by the equation x(t) = 2 \sin(3t). What is the angular frequency?
A. 1 rad/s
B. 2 rad/s
C. 3 rad/s
D. 4 rad/s
Question 2
A particle of mass 1 kg is moving in a straight line with a velocity of 5 m/s. If the particle is subjected to a force of 10 N, directed perp\endicular to the velocity, what is the acceleration of the particle?
A. 2 m/s^2
B. 5 m/s^2
C. 10 m/s^2
D. 20 m/s^2
Question 3
A capacitor of capaci\tance $C$ is charged to a potential difference $V$. If the capacitor is then connected to a resistor of resis\tance $R$, what is the time cons\tant of the circuit?
A. R C
B. C R
C. \frac{R}{C}
D. \frac{C}{R}
Question 4
A car of mass 1500 kg is traveling at a speed of 25 m/s. If the car is brought to rest in a dis\tance of 50 m, calculate the force applied to the car.
A. 3000 N
B. 6000 N
C. 9000 N
D. 12000 N
Question 5
A parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 12 V is applied across it, what is the charge stored on the plates?
A. 120 μC
B. 1200 μC
C. 12 μC
D. 1.2 μC
Question 6
A solid sphere of radius $R$ is made of a material with density $\rho$. If the sphere is susp\ended in a fluid of density $sigma$, what is the magnitude of the buoyant force acting on the sphere?
A. 4\pi R^3 \rho g
B. 4\pi R^3 \sigma g
C. 2\pi R^3 \rho g
D. 2\pi R^3 \sigma g
Question 7
A beam of light passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 18°
B. 20°
C. 22°
D. 25°
Question 8
A particle of mass 2 kg is moving in a circular path of radius 3 m with a speed of 4 m/s. What is the centripetal force acting on the particle?
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 9
A charged particle of mass 2 × 10^-6 kg and charge 3 × 10^-6 C is moving in a magnetic field of strength 0.5 T. If the particle is moving at a speed of 2 × 10^4 m/s, calculate the force acting on the particle.
A. 1.5 × 10^-3 N
B. 3.0 × 10^-3 N
C. 4.5 × 10^-3 N
D. 6.0 × 10^-3 N
Question 10
A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle experiences a centripetal force of 10 N, what is its angular velocity?
A. 2 rad/s
B. 4 rad/s
C. 6 rad/s
D. 8 rad/s
Question 11
A simple p\endulum of length 1 m is released from an initial angle of 30°. If the p\endulum is released from rest, calculate the time taken for the p\endulum to complete one oscillation.
A. 2 s
B. 4 s
C. 6 s
D. 8 s
Question 12
A gas is enclosed in a container with a movable piston. The gas is heated, cau\sing its pressure to increase. Which of the following statements is true about the change in the gas's volume?
A. The volume of the gas decreases
B. The volume of the gas increases
C. The volume of the gas remains cons\tant
D. The volume of the gas decreases and then increases
Question 13
A particle of mass 0.5 kg is moving in a circular path with a radius of 0.2 m. The particle has a velocity of 2 m/s. What is the centripetal force acting on the particle?
A. 0.5 N
B. 1.0 N
C. 2.0 N
D. 5.0 N
Question 14
A 100 W light bulb is connected to a 220 V power source. If the bulb is 5% efficient, what is the resis\tance of the bulb?
A. 10 Ω
B. 20 Ω
C. 30 Ω
D. 40 Ω
Question 15
A gas is enclosed in a container of volume 2.5 m³ at a temperature of 300 K. If the pressure of the gas is 1.2 × 10^5 Pa, calculate the number of moles of the gas u\sing the ideal gas equation.
A. 0.01 mol
B. 0.02 mol
C. 0.03 mol
D. 0.04 mol

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