POST UTME DELSU 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A particle of mass $m$ is attached to a spring with spring cons\tant $k$. The particle is displaced from its equilibrium position by a dis\tance $x_0$ and released from rest. Assuming the motion is simple harmonic, find the angular frequency $omega$ in terms of $k$ and $m$.
A. \omega = \frac{k}{m}
B. \omega = \sqrt{\frac{m}{k}}
C. \omega = \frac{m}{k}
D. \omega = \sqrt{\frac{k}{m}}
Question 2
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. What is the maximum height reached by the projectile?
A. 10 m
B. 15 m
C. 20 m
D. 25 m
Question 3
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 gas?
A. The gas expands to fill the container.
B. The gas contracts to occupy less space.
C. The gas remains at cons\tant pressure.
D. The gas undergoes a phase transition.
Question 4
A simple harmonic motion has a maximum displacement of 0.05 m and a period of 0.2 s. What is the angular frequency of the motion?
A. 10 rad/s
B. 20 rad/s
C. 30 rad/s
D. 40 rad/s
Question 5
A convex lens has a focal length of 0.2 m. If an object is placed 0.3 m in front of the lens, what is the image dis\tance?
A. 0.1 m
B. 0.2 m
C. 0.3 m
D. 0.4 m
Question 6
A 5 kg block is moving with a velocity of 2 m/s on a frictionless surface. If a force of 10 N is applied to the block, what is its new velocity?
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 7
A block of wood is placed on a horizontal surface. A force is applied to the block, cau\sing it to accelerate. Which of the following statements is true about the block?
A. The block has a cons\tant velocity.
B. The block has a cons\tant acceleration.
C. The block has a cons\tant force.
D. The block has a cons\tant mass.
Question 8
A gas expands from an initial volume of 0.1 m^3 to a final volume of 0.5 m^3 at a cons\tant temperature of 300 K. What is the work done by the gas?
A. 50 J
B. 100 J
C. 150 J
D. 200 J
Question 9
A circuit consists of a battery, a resistor, and a switch. The switch is closed, cau\sing the circuit to be complete. Which of the following statements is true about the circuit?
A. The circuit is in a state of equilibrium.
B. The circuit is in a state of non-equilibrium.
C. The circuit is in a state of steady-state.
D. The circuit is in a state of transient.
Question 10
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, what is the acceleration of the body?
A. 2 m/s²
B. 4 m/s²
C. 6 m/s²
D. 8 m/s²
Question 11
A capacitor consists of two parallel plates, each with a surface area of 0.01 m^2. The dis\tance between the plates is 0.001 m. If the capaci\tance is 10 nF, what is the energy stored in the capacitor when it is charged to a potential difference of 10 V?
A. 0.1 J
B. 0.2 J
C. 0.3 J
D. 0.4 J
Question 12
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, what is the maximum speed of the block?
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 13
A capacitor consists of two parallel plates, each with a surface area of 0.1 m^2. If the dis\tance between the plates is 0.01 m and the dielectric cons\tant is 2, what is the capaci\tance of the capacitor?
A. 1 nF
B. 10 nF
C. 100 nF
D. 1000 nF
Question 14
A light ray passes from air into a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 20°
B. 30°
C. 40°
D. 50°
Question 15
A particle of mass 0.5 kg is moving in a circular path of radius 0.2 m with a speed of 2 m/s. What is the magnitude of the force acting on the particle?
A. 0.2 N
B. 0.4 N
C. 0.6 N
D. 0.8 N

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