POST UTME UI 2025 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A 100 W light bulb is connected to a 220 V power source. What is the current in the bulb?
A. 0.5 A
B. 1.0 A
C. 1.5 A
D. 2.0 A
Question 2
A radioactive sample emits \alpha particles with a half-life of 5 days. If the initial activity is 100 Bq, calculate the activity after 15 days.
A. 12.5 Bq
B. 25 Bq
C. 50 Bq
D. 100 Bq
Question 3
A simple harmonic motion has a maximum displacement of 2 m and a period of 4 s. What is the angular frequency of the motion?
A. \frac{\pi}{2} rad/s
B. \frac{\pi}{4} rad/s
C. \frac{\pi}{6} rad/s
D. \frac{\pi}{8} rad/s
Question 4
A block of mass 10 kg is placed on a frictionless surface. If a force of 20 N is applied to the block, calculate 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 5
A particle of mass 2 kg is attached to a spring with spring cons\tant 100 N/m. If the particle is displaced by 0.2 m from its equilibrium position and released from rest, what is the maximum speed of the particle?
A. \( 2 \sqrt{10} \) m/s
B. \( 2 \sqrt{5} \) m/s
C. \( 2 \sqrt{20} \) m/s
D. \( 2 \sqrt{50} \) m/s
Question 6
A 1000 Hz AC voltage source is connected to a 50 Ω resistor. If the maximum voltage is 100 V, what is the rms value of the current flowing through the resistor?
A. 0.707 A
B. 1 A
C. 1.414 A
D. 2 A
Question 7
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° 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 8
A particle moves in a circular path with a cons\tant speed of 5 m/s. If the radius of the circle is 2 m, calculate the magnitude of the acceleration of the particle.
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
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 subjected to a centripetal acceleration of 2 m/s^2, what is the magnitude of the force acting on the particle?
A. 10 N
B. 12 N
C. 16 N
D. 20 N
Question 10
A 2 kg block of ice at 0°C is placed in a 5°C water bath. Assuming the specific heat capacity of ice is 2090 J/(kg·K) and the specific heat capacity of water is 4186 J/(kg·K), calculate the time it takes for the ice to melt completely.
A. 10 minutes
B. 20 minutes
C. 30 minutes
D. 40 minutes
Question 11
A simple harmonic motion has a maximum displacement of 2 m and a period of 4 s. Calculate the angular frequency of the motion.
A. 0.5 rad/s
B. 1 rad/s
C. 2 rad/s
D. 4 rad/s
Question 12
A convex lens of focal length 20 cm is placed in contact with a concave lens of focal length -15 cm. What is the focal length of the combination?
A. 10 cm
B. 20 cm
C. 30 cm
D. 40 cm
Question 13
A 10 Ω resistor is connected in parallel with a 20 Ω resistor. What is the equivalent resis\tance?
A. 5.0 Ω
B. 10.0 Ω
C. 15.0 Ω
D. 20.0 Ω
Question 14
A projectile is launched at an angle of 30° to the horizontal with an initial velocity of 20 m/s. What is the maximum height reached by the projectile?
A. 10 m
B. 15 m
C. 20 m
D. 25 m
Question 15
A quantum particle has a wave function ( psi(x) = Ae^{-\alpha x^2} ). What is the probability of finding the particle between x = 0 and x = 1?
A. \( \frac{1}{2} \)
B. \( \frac{1}{4} \)
C. \( \frac{1}{8} \)
D. \( \frac{1}{16} \)

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