POST UTME VERITAS UNIVERSITY 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A block of mass 2 kg is attached to a spring with a spring cons\tant of 100 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. 0.2 m/s
B. 0.4 m/s
C. 0.6 m/s
D. 0.8 m/s
Question 2
A heat engine operates between two reservoirs at temperatures 500 K and 300 K. If the engine absorbs 1000 J of heat from the high-temperature reservoir, what is the efficiency of the engine?
A. 0.25
B. 0.30
C. 0.35
D. 0.40
Question 3
A 5 kg block is moving at 10 m/s on a horizontal, frictionless surface. A 2 kg block is moving at 5 m/s in the opposite direction. Find the velocity of the 5 kg block after the collision.
A. 5 m/s
B. 7.5 m/s
C. 10 m/s
D. 12.5 m/s
Question 4
A 5 kg block is moving at 10 m/s on a horizontal, frictionless surface. A 2 kg block is dropped from rest above the first block. Find the velocity of the 5 kg block after the collision.
A. 5 m/s
B. 10 m/s
C. 15 m/s
D. 20 m/s
Question 5
A ray of light passes from air into a glass block with re\fractive index 1.5. If the angle of incidence is 30°, find the angle of re\fraction.
A. 20°
B. 30°
C. 40°
D. 50°
Question 6
A parallel plate capacitor consists of two plates, each of area $A$ and separated by a dis\tance $d$. The space between the plates is filled with a dielectric material of dielectric cons\tant $K$. If a potential difference of $V$ is applied across the plates, calculate the capaci\tance of the capacitor.
A. \frac{KA\epsilon_0}{d}
B. \frac{KA\epsilon_0}{d^2}
C. \frac{KA^2\epsilon_0}{d}
D. \frac{KA\epsilon_0}{d^3}
Question 7
A ray of light passes through a convex lens of focal length 10 cm. If the object dis\tance is 20 cm, calculate the image dis\tance.
A. 10 cm
B. 20 cm
C. 30 cm
D. 40 cm
Question 8
A gas is compressed from an initial volume of 2 m^3 to a final volume of 1 m^3. If the initial pressure is 100 kPa and the final pressure is 200 kPa, determine the work done on the gas.
A. 100 J
B. 200 J
C. 300 J
D. 400 J
Question 9
A particle of mass 2 kg is moving in a circular path of radius 3 m with a cons\tant speed of 4 m/s. If the particle is subject to a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?
A. 8 m/s^2
B. 12 m/s^2
C. 16 m/s^2
D. 20 m/s^2
Question 10
A block of mass 3 kg is placed on a frictionless surface and a horizontal force of 15 N is applied to it. If the coefficient of kinetic friction between the block and the surface is 0.3, determine the acceleration of the block.
A. 4 m/s^2
B. 5 m/s^2
C. 6 m/s^2
D. 7 m/s^2
Question 11
A magnetic field of 0.5 T is applied to a current-carrying wire of length 2 m. If the current in the wire is 5 A, what is the force on the wire?
A. 0.5 N
B. 1.0 N
C. 1.5 N
D. 2.0 N
Question 12
A block of mass 5 kg is placed on a frictionless surface and a horizontal force of 10 N is applied to it. If the coefficient of static friction between the block and the surface is 0.5, determine the acceleration of the block.
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 13
A \sinusoidal voltage source has a maximum voltage of 10 V and a frequency of 50 Hz. If the voltage is connected in series with a resistor of 10 ohms, what is the maximum current flowing through the resistor?
A. 0.1 A
B. 0.2 A
C. 0.3 A
D. 0.4 A
Question 14
A radioactive sample has a half-life of 5 years. If the initial activity of the sample is 100 Bq, what is the activity of the sample after 10 years?
A. 50 Bq
B. 25 Bq
C. 12.5 Bq
D. 6.25 Bq
Question 15
A radioactive sample emits \alpha particles with a half-life of 3.8 days. If the initial activity is 120 Bq, calculate the activity after 10 days.
A. 10 Bq
B. 20 Bq
C. 40 Bq
D. 80 Bq

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