POST UTME ESUT 2021 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A particle of mass 1 kg is moving in a circular path of radius 2 m with a uniform speed of 3 m/s. If the particle is subjected to a centripetal acceleration of 1 m/s^2, what is the magnitude of the force acting on the particle?
A. 2 N
B. 3 N
C. 4 N
D. 5 N
Question 2
A \tank is filled with water to a height of 5 m. If the density of water is 1000 kg/m^3, what is the pressure at the bottom of the \tank?
A. 5000 Pa
B. 10000 Pa
C. 15000 Pa
D. 20000 Pa
Question 3
A beam of light 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. 18°
B. 20°
C. 22°
D. 25°
Question 4
A circuit consists of a 12 Ω resistor, a 20 mH inductor, and a 10 μF capacitor connected in series. The circuit is driven by a 120 V AC source with a frequency of 50 Hz. What is the impedance of the circuit?
A. 10 Ω
B. 20 Ω
C. 30 Ω
D. 40 Ω
Question 5
A radioactive sample has a half-life of 5 years. If the initial activity is 100 Bq, what is the activity after 10 years?
A. 12.5 Bq
B. 25 Bq
C. 50 Bq
D. 100 Bq
Question 6
A capacitor consists of two parallel plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 m. If the capacitor is charged to a potential difference of 10 V, what is the capaci\tance of the capacitor?
A. 0.01 F
B. 0.1 F
C. 1 F
D. 10 F
Question 7
A parallel plate capacitor consists of two plates, each of area $A$, separated by a dis\tance $d$. The capacitor is charged to a potential difference $V$. What is the energy stored in the capacitor?
A. \frac{1}{2} \frac{A \epsilon_0 V^2}{d}
B. \frac{1}{2} \frac{A V^2}{d}
C. \frac{1}{2} \frac{A \epsilon_0 V^2}{d^2}
D. \frac{1}{2} \frac{A V^2}{d^2}
Question 8
A particle of mass $m$ is moving in a circular orbit with radius $r$ and angular frequency $omega$. What is the centripetal force?
A. \( F_c=\frac{mv^2}{r} \)
B. \( F_c=\frac{mv^2}{r^2} \)
C. \( F_c=\frac{mv^2}{r^3} \)
D. \( F_c=\frac{mv^2}{r^4} \)
Question 9
A particle of mass 2 kg is moving in a circular path of radius 3 m with a uniform 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 10
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 11
A magnetic field is produced by a current-carrying wire. If the current is $I$ and the dis\tance from the wire is $r$, what is the magnitude of the magnetic field?
A. \( B=\frac{mu_0I}{2pi r} \)
B. \( B=\frac{2pimu_0Ir}{1} \)
C. \( B=\frac{mu_0I}{pi r} \)
D. \( B=\frac{pimu_0Ir}{2} \)
Question 12
A particle of mass 5 kg is moving in a circular path with a cons\tant speed of 6 m/s. If the radius of the path is 4 m, calculate the magnitude of the force acting on the particle.
A. 18 N
B. 22 N
C. 26 N
D. 30 N
Question 13
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 force acting on the particle.
A. 8 N
B. 12 N
C. 16 N
D. 20 N
Question 14
A capacitor of capaci\tance 2 μF is connected in parallel with a resistor of resis\tance 5 kΩ. If a voltage of 10 V is applied across the circuit, what is the current flowing through the capacitor?
A. 0.02 mA
B. 0.04 mA
C. 0.06 mA
D. 0.08 mA
Question 15
A particle of mass $m$ is attached to a spring with spring cons\tant $k$. If the particle is displaced by a dis\tance $x$ from its equilibrium position and released from rest, determine the angular frequency of the resulting simple harmonic motion.
A. \(\omega = \sqrt{\frac{k}{m}}\)
B. \(\omega = \sqrt{\frac{m}{k}}\)
C. \(\omega = \frac{k}{m}\)
D. \(\omega = \frac{m}{k}\)

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