POST UTME LAUTECH 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A body of mass 5 kg is moving with a velocity of 10 m/s. If it is subjected to a force of 20 N, calculate the acceleration.
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 2
A simple harmonic motion has a maximum displacement of 2 m and a period of 4 s. What is the angular frequency?
A. 1.57 rad/s
B. 3.14 rad/s
C. 6.28 rad/s
D. 9.42 rad/s
Question 3
A particle of mass $m$ is moving in a circular path with a radius $r$. If the particle experiences a centripetal force $F_c$ due to a uniform gravitational field of strength $g$, determine the angular velocity $\omega$ of the particle.
A. \( \sqrt{\frac{F_c}{m r}} \)
B. \( \sqrt{\frac{m r}{F_c}} \)
C. \( \sqrt{\frac{m}{F_c r}} \)
D. \( \sqrt{\frac{F_c r}{m}} \)
Question 4
A particle of mass 5 kg is moving in a circular path of radius 2 m with a cons\tant speed of 10 m/s. Calculate the centripetal force.
Question 5
A heat engine operates between the temperatures 300 K and 600 K. If it has an efficiency of 30%, calculate the work done per cycle.
A. 100 J
B. 200 J
C. 300 J
D. 400 J
Question 6
A lens of focal length 0.2 m is used to form an image of an object 0.5 m away. If the object is moved 0.1 m closer, calculate the new image dis\tance.
A. 0.3 m
B. 0.4 m
C. 0.5 m
D. 0.6 m
Question 7
A rigid rod of length 2 m is pivoted at one \end and subjected to a force of 10 N at the other \end. If the force is applied at a dis\tance of 1.5 m from the pivot, what is the magnitude of the torque acting on the rod?
A. 5 Nm
B. 10 Nm
C. 15 Nm
D. 20 Nm
Question 8
A 10 V battery is connected in series with a 5 ohm resistor and a 2 ohm resistor. Calculate the current flowing through the 5 ohm resistor.
A. 0.5 A
B. 1.0 A
C. 1.5 A
D. 2.0 A
Question 9
A block of mass 5 kg is placed on a frictionless surface and connected to a spring with a spring cons\tant of 200 N/m. If the block is displaced by 0.2 m from its equilibrium position and released from rest, what is the maximum speed of the block?
A. 1 m/s
B. 2 m/s
C. 3 m/s
D. 4 m/s
Question 10
A radioactive sample of Uranium-238 undergoes \alpha decay. If the initial mass of the sample is 100 g, and the half-life of Uranium-238 is 4.5 billion years, what is the mass of the sample after 9 billion years?
A. 12.5 g
B. 25 g
C. 50 g
D. 100 g
Question 11
A 2 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position and released from rest, what is the maximum speed of the block?
A. 0.2 m/s
B. 0.5 m/s
C. 1 m/s
D. 2 m/s
Question 12
A point charge of +2 μC is placed at the origin of a coordinate system. If a second point charge of -1 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. 500 N/C
D. 1000 N/C
Question 13
A radioactive sample has an initial activity of 100 Bq. If it decays with a half-life of 10 minutes, calculate the activity after 20 minutes.
A. 25 Bq
B. 50 Bq
C. 75 Bq
D. 100 Bq
Question 14
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. If the circuit is closed at $t = 0$, determine the current $I$ in the circuit at $t = 2$ s.
A. \( \frac{12}{4} \)
B. \( \frac{12}{6} \)
C. \( \frac{12}{10} \)
D. \( \frac{12}{8} \)
Question 15
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, determine the new volume $V$ of the gas.
A. \( \frac{2.5 \times 330}{293} \)
B. \( \frac{2.5 \times 293}{330} \)
C. \( \frac{2.5 \times 293}{293} \)
D. \( \frac{2.5 \times 330}{330} \)

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Help others prepare! Share this practice hub: