POST UTME ABU 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 0.5 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. 50 J
D. 100 J
Question 2
A light ray passes through a prism and is re\fracted. What is the angle of deviation?
A. 10°
B. 20°
C. 30°
D. 40°
Question 3
A block of mass 2 kg is attached to a horizontal spring with a force cons\tant of 100 N/m. If 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. 0.5 m/s
B. 1 m/s
C. 1.5 m/s
D. 2 m/s
Question 4
A sound wave has a frequency of 200 Hz and a speed of 340 m/s. If the wavelength is 1.7 m, what is the amplitude?
A. 0.1 m
B. 0.2 m
C. 0.3 m
D. 0.4 m
Question 5
A capacitor of capaci\tance 20 μF is connected in parallel with a resistor of resis\tance 10 Ω. If a voltage of 100 V is applied across the circuit, what is the current flowing through the resistor?
A. 10 A
B. 20 A
C. 30 A
D. 40 A
Question 6
A particle of mass 1 kg is moving in a circular path with a radius of 0.5 m. If the particle has a speed of 2 m/s, what is the centripetal acceleration?
A. 4 m/s²
B. 6 m/s²
C. 8 m/s²
D. 10 m/s²
Question 7
A magnetic field of 0.5 T is applied to a current-carrying wire with a length of 0.2 m and a resis\tance of 10 Ω. If the current in the wire is 2 A, what is the force exerted on the wire?
A. 0.1 N
B. 0.2 N
C. 0.3 N
D. 0.4 N
Question 8
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. If the current through the circuit is 2 A, what is the voltage across the 6 Ω resistor?
A. 6 V
B. 8 V
C. 10 V
D. 12 V
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 force of 12 N, what is the magnitude of the force?
A. 8 N
B. 12 N
C. 16 N
D. 24 N
Question 10
A \tank is filled with water to a height of 10 m. If a hole of area 0.01 m^2 is drilled at the bottom of the \tank, calculate the rate at which the water level falls after 5 minutes.
A. 0.1 m/min
B. 0.2 m/min
C. 0.3 m/min
D. 0.4 m/min
Question 11
A quantum particle has a wave function given by ψ(x) = Ae^\( -αx^2 \). If the average value of x is 0.5 m, what is the value of α?
A. 0.01 m^\( -2 \)
B. 0.1 m^\( -2 \)
C. 1 m^\( -2 \)
D. 10 m^\( -2 \)
Question 12
A capacitor with a capaci\tance of 10 μF is connected to a battery with a voltage of 5 V. If the capacitor is initially uncharged, what is the charge on the capacitor after 1 second?
A. 0.05 C
B. 0.1 C
C. 0.15 C
D. 0.2 C
Question 13
A beam of light is incident on a glass slab at an angle of 45°. If the re\fractive index of the glass is 1.5, what is the angle of re\fraction?
A. 30°
B. 35°
C. 40°
D. 45°
Question 14
A block of mass 5 kg is moving with a velocity of 10 m/s on a frictionless surface. It collides with a stationary block of mass 10 kg. Assuming the collision is perfectly elastic, calculate the velocity of the 10 kg block after the collision.
A. 5 m/s
B. 10 m/s
C. 15 m/s
D. 20 m/s
Question 15
A radioactive sample has a half-life of 10 years. If the initial activity is 100 Bq, calculate the activity after 20 years.
A. 25 Bq
B. 50 Bq
C. 75 Bq
D. 100 Bq

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