POST UTME LAUTECH 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 2
A block of mass 2 kg is attached to a horizontal spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.1 m from its equilibrium position and released from rest, calculate the maximum speed of the block.
A. 0.1 m/s
B. 0.2 m/s
C. 0.3 m/s
D. 0.4 m/s
Question 3
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 4
A 5 ohm resistor is connected in parallel with a 10 ohm resistor. Calculate the equivalent resis\tance of the circuit.
A. 2.5 ohm
B. 3.0 ohm
C. 3.5 ohm
D. 4.0 ohm
Question 5
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 6
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 7
A force of 10 N acts on a body of mass 5 kg. If the body is moving with an initial velocity of 5 m/s, calculate the acceleration.
A. 2 m/s^2
B. 5 m/s^2
C. 10 m/s^2
D. 20 m/s^2
Question 8
A block of mass 5 kg is placed on a frictionless surface. A force of 10 N is applied to the block, cau\sing it to accelerate at 2 m/s^2. What is the magnitude of the force exerted by the normal reaction?
A. 50 N
B. 55 N
C. 60 N
D. 65 N
Question 9
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. \( \frac{2.5 \times 330}{330} \)
Question 10
A gas is heated from 300 K to 400 K at cons\tant volume. What is the ratio of the final pressure to the initial pressure?
A. 1.33
B. 1.5
C. 1.67
D. 2
Question 11
A \tank is filled with water to a height of 5 m. If the density of water is 1000 kg/m^3, what is the pressure at the bottom of the \tank?
A. 5000 Pa
B. 10000 Pa
C. 15000 Pa
D. 20000 Pa
Question 12
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 13
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 14
A 100 W bulb is connected to a 220 V AC supply. If the power factor is 0.8, calculate the current drawn by the bulb.
A. 0.5 A
B. 0.6 A
C. 0.7 A
D. 0.8 A
Question 15
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

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