POST UTME UI 2018 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A 10 mH inductor is connected in series with a 220 V, 50 Hz AC source. Determine the inductive reac\tance of the inductor.
A. ( 44.72 Omega )
B. ( 22.36 Omega )
C. ( 88.28 Omega )
D. ( 176.56 Omega )
Question 2
A body of mass 5 kg is moving with a speed of 2 m/s. If the body is subjected to a force of 10 N, what is the change in its kinetic energy?
A. 5 J
B. 10 J
C. 15 J
D. 20 J
Question 3
A circuit consists of a 10 Ω resistor connected in series with a 20 Ω resistor. If a potential difference of 30 V is applied across the circuit, what is the current flowing through the 10 Ω resistor?
A. 1 A
B. 1.5 A
C. 2 A
D. 2.5 A
Question 4
A radioactive sample has a half-life of 2 years. If the initial activity is 100 Bq, what is the activity after 4 years?
A. 25 Bq
B. 50 Bq
C. 75 Bq
D. 100 Bq
Question 5
A capacitor of capaci\tance 10 μF is connected in series with a resistor of resis\tance 20 Ω. If a potential difference of 15 V is applied across the circuit, what is the current flowing through the circuit?
A. 0.5 A
B. 1 A
C. 1.5 A
D. 2 A
Question 6
A charged particle of mass 1 kg and charge 2 C is moving in a magnetic field of strength 0.5 T. If the particle is moving with a speed of 3 m/s, what is the magnitude of the force acting on it?
A. 0.5 N
B. 1 N
C. 1.5 N
D. 2 N
Question 7
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 8
A block of mass 5 kg is placed on a frictionless surface and connected to a horizontal spring with a spring cons\tant of 200 N/m. The block is displaced from its equilibrium position by 0.1 m and released from rest. Assuming the motion is simple harmonic, calculate the period of the motion.
A. 0.5 s
B. 1.0 s
C. 1.5 s
D. 2.0 s
Question 9
A radioactive sample of Δₗ emits Δₗα particles with a half-life of 5.27 years. If the initial activity is 100 Bq, what is the activity after 10.54 years?
A. 50 Bq
B. 25 Bq
C. 12.5 Bq
D. 6.25 Bq
Question 10
A convex lens of focal length 20 cm is used to form an image of an object placed 30 cm in front of it. What is the magnification of the image?
A. -0.5
B. -1.0
C. -1.5
D. -2.0
Question 11
A particle of mass 2.0 kg is moving in a circular path of radius 3.0 m with a cons\tant speed of 4.0 m/s. What is the magnitude of the net force acting on the particle?
A. 12 N
B. 16 N
C. 20 N
D. 24 N
Question 12
A 10 μF capacitor is connected in series with a 20 Ω resistor and a 5 V battery. What is the current flowing through the circuit?
A. 0.25 A
B. 0.5 A
C. 1 A
D. 2 A
Question 13
A photon of wavelength 500 nm is incident on a metal surface with work function 2.5 eV. What is the maximum kinetic energy of the emitted electron?
A. 1.25 eV
B. 1.5 eV
C. 1.75 eV
D. 2.0 eV
Question 14
A 5 kg block is moving with a velocity of 5 m/s on a horizontal, frictionless surface. If the block is subjected to a force of 10 N, determine the acceleration of the block.
A. \( 1 , \text{m/s}^2 \)
B. \( 2 , \text{m/s}^2 \)
C. \( 3 , \text{m/s}^2 \)
D. \( 4 , \text{m/s}^2 \)
Question 15
A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle is subjected to a centripetal force of 10 N, what is its angular velocity?
A. 2 rad/s
B. 4 rad/s
C. 6 rad/s
D. 8 rad/s

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