POST UTME UNIBEN 2024 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A 2.5 m long wire of resis\tance 3.5 Ω is stretched to a length of 5 m. Calculate the new resis\tance of the wire, given that the resistivity of the material is 1.8 × 10^\( -8 \) Ωm.
A. 5.6 Ω
B. 6.2 Ω
C. 7.1 Ω
D. 8.5 Ω
Question 2
A vector has a magnitude of 5 m and a direction of 30°. If the vector is multiplied by a scalar of 2, what is the new magnitude?
A. 5 m
B. 10 m
C. 15 m
D. 20 m
Question 3
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. If the current is 2 A, what is the total resis\tance?
A. 8 Ω
B. 10 Ω
C. 12 Ω
D. 16 Ω
Question 4
A block of mass 5 kg is attached to a horizontal spring with a force cons\tant of 100 N/m. If the block is displaced by 2 m from its equilibrium position and released, what is the maximum speed?
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 5
A parallel plate capacitor with plates of area 0.04 m^2 and separation 0.02 m is connected to a 12 V battery. If the dielectric cons\tant of the material between the plates is 3, calculate the capaci\tance and the energy stored in the capacitor.
A. 10 μF
B. 11 μF
C. 12 μF
D. 13 μF
Question 6
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. 8 N
B. 10 N
C. 12 N
D. 16 N
Question 7
A particle of mass 0.5 kg is attached to a spring with a spring cons\tant of 100 N/m. The particle is displaced by 0.2 m from its equilibrium position and released from rest. Calculate the maximum speed of the particle.
A. 0.2 m/s
B. 0.4 m/s
C. 0.6 m/s
D. 0.8 m/s
Question 8
A 2 kg block is attached to a horizontal, massless spring with a spring cons\tant of 100 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Calculate the time taken by the block to reach its maximum speed.
A. 0.2 s
B. 0.4 s
C. 0.6 s
D. 0.8 s
Question 9
A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. It is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the total energy of the particle at time t = 0.
A. 10 J
B. 20 J
C. 30 J
D. 40 J
Question 10
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 experiences 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 11
A particle of mass 0.5 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, calculate the maximum kinetic energy of the particle.
A. 1 J
B. 2 J
C. 3 J
D. 4 J
Question 12
A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. The particle is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the time taken for the particle to reach its maximum speed.
A. 0.5 s
B. 1 s
C. 1.5 s
D. 2 s
Question 13
A 100 W light bulb is connected to a 220 V power source. Calculate the current drawn by the bulb.
A. 0.4 A
B. 0.5 A
C. 0.6 A
D. 0.7 A
Question 14
A radioactive sample decays from 100 g to 50 g in 10 days. What is the half-life of the sample?
A. 5 days
B. 10 days
C. 15 days
D. 20 days
Question 15
A fluid of density 1000 kg/m^3 is flowing through a horizontal pipe of radius 0.1 m. If the pressure difference between the two \ends of the pipe is 1000 Pa, calculate the velocity of the fluid.
A. 1 m/s
B. 1.41 m/s
C. 2 m/s
D. 3 m/s

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