POST UTME ABU 2025 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A particle of mass 0.5 kg is moving in a circular path of radius 2 m with a cons\tant speed of 4 m/s. If the particle is subject to a centripetal force of 10 N, calculate the time it takes for the particle to complete one revolution.
A. 2 s
B. 4 s
C. 6 s
D. 8 s
Question 2
A wave has a frequency of 50 Hz and a wavelength of 2 m. What is the speed of the wave?
A. 100 m/s
B. 200 m/s
C. 300 m/s
D. 400 m/s
Question 3
A capacitor consists of two parallel plates, each of area 0.1 m², separated by a dis\tance of 0.01 m. If the capaci\tance is 10 µF, what is the energy stored on the capacitor when a potential difference of 100 V is applied across it?
A. 0.1 J
B. 0.2 J
C. 0.3 J
D. 0.4 J
Question 4
A capacitor consists of two parallel plates, each of area 0.1 m², separated by a dis\tance of 0.01 m. If the capaci\tance is 10 µF, what is the charge stored on the capacitor when a potential difference of 100 V is applied across it?
A. 0.01 C
B. 0.02 C
C. 0.03 C
D. 0.04 C
Question 5
A thermodynamic system undergoes a process from state A to state B, where the temperature increases from 20°C to 50°C. What is the change in entropy of the system?
A. 10 J/K
B. 20 J/K
C. 30 J/K
D. 40 J/K
Question 6
A 100 Ω resistor is connected in series with a 20 mH inductor and a 10 μF capacitor. If the circuit is driven by a 10 V AC source at a frequency of 50 Hz, calculate the impedance of the circuit.
A. 120 Ω
B. 140 Ω
C. 160 Ω
D. 180 Ω
Question 7
A light ray passes through a prism of re\fractive index $n$ and is deviated by an angle $\delta$. If the angle of incidence is $i$, determine the angle of re\fraction $r$.
A. \sin i = n \sin r
B. \sin i = \frac{1}{n} \sin r
C. \sin i = \sin r
D. \sin i = \cos r
Question 8
A body of mass 5 kg is at rest on a frictionless surface. A horizontal force of 10 N is applied to the body. Calculate the acceleration of the body.
A. 0.5 m/s^2
B. 1 m/s^2
C. 2 m/s^2
D. 5 m/s^2
Question 9
A particle of mass $m$ is projected from the origin with an initial velocity $v_0$ at an angle $\theta$ to the horizontal. If the particle experiences a cons\tant acceleration $g$ due to gravity, determine the time $t$ at which the particle reaches its maximum height.
A. t = \frac{v_0 \sin \theta}{g}
B. t = \frac{v_0 \cos \theta}{g}
C. t = \frac{v_0 \sin \theta}{g^2}
D. t = \frac{v_0 \cos \theta}{g^2}
Question 10
A charged particle of mass $m$ and charge $q$ is moving in a circular path of radius $r$ in a magnetic field of strength $B$. If the particle experiences a centripetal force $F_c$, determine the speed $v$ of the particle.
A. F_c = \frac{q v B}{2 \pi r}
B. F_c = \frac{q v^2}{2 \pi r}
C. F_c = \frac{q B}{2 \pi r}
D. F_c = \frac{q v}{2 \pi r}
Question 11
A particle of mass 2 kg is moving in a circular path with a cons\tant speed of 4 m/s. If the radius of the path is 3 m, calculate the magnitude of the centripetal acceleration.
A. 4 m/s^2
B. 6 m/s^2
C. 8 m/s^2
D. 10 m/s^2
Question 12
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. 25°
C. 30°
D. 35°
Question 13
A radioactive sample decays at a rate of 0.1% per minute. If the initial activity is 1000 Bq, what is the activity after 10 minutes?
A. 900 Bq
B. 950 Bq
C. 990 Bq
D. 999 Bq
Question 14
A capacitor of capaci\tance 10 μF is charged to a potential difference of 12 V. What is the energy stored in the capacitor?
A. 120 J
B. 150 J
C. 180 J
D. 200 J
Question 15
A wave has a frequency of 20 Hz and a wavelength of 0.5 m. Calculate the speed of the wave.
A. 10 m/s
B. 20 m/s
C. 30 m/s
D. 40 m/s

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