POST UTME FUTO 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A block of mass $M$ is placed on a horizontal surface with a coefficient of static friction $\mu_s$. A horizontal force $F$ is applied to the block. If the block is at rest, what is the maximum value of $F$ that will cause the block to move?
A. \mu_sMg
B. \mu_sMg/2
C. \mu_sMg/3
D. \mu_sMg/4
Question 2
A heat engine operates between two temperatures of 500 K and 300 K. If the engine has an efficiency of 30%, calculate the work done by the engine.
A. 100 J
B. 200 J
C. 300 J
D. 400 J
Question 3
A uniform magnetic field of strength 2 T is applied to a current-carrying wire. If the current in the wire is 5 A, what is the magnitude of the magnetic force per unit length on the wire?
A. 10 N/A
B. 20 N/A
C. 30 N/A
D. 40 N/A
Question 4
A ray of light passes through a prism and is re\fracted at an angle of 30°. If the angle of incidence is 20°, what is the angle of re\fraction?
A. 10°
B. 20°
C. 30°
D. 40°
Question 5
A \tank contains 1000 kg of water at a temperature of 20°C. If 200 kg of water at 80°C is added to the \tank, what is the final temperature of the water in the \tank?
A. 22°C
B. 25°C
C. 28°C
D. 30°C
Question 6
A gas at 300 K expands from 0.05 m^3 to 0.2 m^3. What is the work done by the gas?
A. 150 J
B. 200 J
C. 250 J
D. 300 J
Question 7
A heat engine operates between two temperatures of 500 K and 300 K. If the engine produces 100 J of work per cycle, what is the efficiency of the engine?
A. 0.2
B. 0.3
C. 0.4
D. 0.5
Question 8
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 subjected to a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?
A. 10 m/s^2
B. 12 m/s^2
C. 15 m/s^2
D. 20 m/s^2
Question 9
A radioactive sample has a half-life of 5 years. If the initial activity of the sample is 100 Bq, calculate the activity after 10 years.
A. 12.5 Bq
B. 25 Bq
C. 50 Bq
D. 100 Bq
Question 10
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. If the projectile lands 10 m away from the launch point, what is the time of flight?
A. 1 s
B. 2 s
C. 3 s
D. 4 s
Question 11
A convex lens with focal length 20 cm is used to form an image of an object placed 30 cm from the lens. What is the magnification of the image?
A. -0.5
B. -1
C. -2
D. -3
Question 12
A lens of focal length $f$ is placed in a beam of light. What is the image dis\tance $d'$?
A. \frac{fd}{f-d}
B. \frac{fd}{f+d}
C. \frac{f-d}{fd}
D. \frac{f+d}{fd}
Question 13
A 100 Ω resistor is connected in series with a 50 Ω resistor and a 20 Ω resistor. What is the equivalent resis\tance?
A. 50 Ω
B. 70 Ω
C. 100 Ω
D. 170 Ω
Question 14
A block of mass 5 kg is attached to a horizontal spring with spring cons\tant 100 N/m. 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. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 15
A block of mass 2 kg is attached to a horizontal spring with a spring cons\tant of 100 N/m. The block is displaced by 0.1 m from its equilibrium position and released. What is the frequency of oscillation?
A. 1.0 Hz
B. 2.0 Hz
C. 3.0 Hz
D. 4.0 Hz

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