POST UTME UI 2025 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A magnetic field of 1 T is directed perp\endicular to a wire of length 2 m carrying a current of 5 A. What is the magnitude of the magnetic force acting on the wire?
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 2
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 3
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 4
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 5
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. \( \frac{1}{16} \)
Question 6
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 7
A 5 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 2 m from its equilibrium position and released from rest. What is the maximum kinetic energy of the block?
A. 10 J
B. 20 J
C. 30 J
D. 40 J
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 uniform magnetic field of 2 T, directed perp\endicular to the plane of the circular path, what is the magnitude of the magnetic force acting on the particle?
A. 8 N
B. 16 N
C. 32 N
D. 64 N
Question 9
A magnetic field of 2 T is applied to a coil of 100 turns. If the coil has a resis\tance of 10 Ω, calculate the induced emf in the coil.
A. 20 V
B. 40 V
C. 60 V
D. 80 V
Question 10
A vector has a magnitude of 5 m and makes an angle of 30° with the x-axis. Calculate the x and y components of the vector.
A. x = 4 m, y = 2.5 m
B. x = 2 m, y = 4 m
C. x = 3 m, y = 3 m
D. x = 1 m, y = 1 m
Question 11
A wave of wavelength 5 m and frequency 2 Hz is traveling through a medium with a speed of 10 m/s. What is the amplitude of the wave?
A. 0.5 m
B. 1 m
C. 1.5 m
D. 2 m
Question 12
A simple harmonic motion has a maximum acceleration of 10 m/s² and a period of 2 s. What is the angular frequency?
A. ( 2 pi ) rad/s
B. ( 4 pi ) rad/s
C. ( 5 pi ) rad/s
D. ( 10 pi ) rad/s
Question 13
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. ( 45° )
D. ( 60° )
Question 14
A gas is enclosed in a container with a volume of 2 L. If the pressure is 3 atm and the temperature is 300 K, calculate the number of moles of gas present.
A. 0.1 mol
B. 0.2 mol
C. 0.3 mol
D. 0.4 mol
Question 15
A particle of mass 1 kg is moving in a straight line with an initial velocity of 5 m/s. If the particle is subjected to a force of 2 N, what is the acceleration of the particle?
A. 1 m/s^2
B. 2 m/s^2
C. 3 m/s^2
D. 4 m/s^2

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