POST UTME UNIBEN 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A point charge of 2 μC is placed at the origin. If a second point charge of -3 μC is placed 0.5 m away from the first charge, what is the electric potential at the point 0.2 m away from the second charge?
A. -1.35 x 10^6 V
B. -1.35 x 10^5 V
C. -1.35 x 10^4 V
D. -1.35 x 10^3 V
Question 2
A circuit consists of a 10Ω resistor, a 20Ω resistor and a 5Ω resistor connected in series. If a voltage of 15V is applied across the circuit, calculate the current flowing through the circuit.
A. 0.5A
B. 1A
C. 1.5A
D. 2A
Question 3
A block of mass 5 kg is attached to a horizontal spring with a force cons\tant of 200 N/m. If the block is displaced by 0.1 m from its equilibrium position and released, what is the maximum speed of the block?
A. 0.447 m/s
B. 0.894 m/s
C. 1.414 m/s
D. 2.828 m/s
Question 4
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 angular frequency of the particle's motion.
A. 5 rad/s
B. 10 rad/s
C. 15 rad/s
D. 20 rad/s
Question 5
A 5 mH inductor is connected in series with a 10 Ω resistor. If a 12 V battery is connected across the circuit, calculate the inductive reac\tance of the circuit.
A. 10 Ω
B. 20 Ω
C. 30 Ω
D. 40 Ω
Question 6
A particle of mass 2 kg is attached to a spring with a spring cons\tant of 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 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 7
A gas is heated from 20°C to 50°C at cons\tant pressure. If the initial volume is 2L, calculate the final volume of the gas.
A. 2.5L
B. 3L
C. 3.5L
D. 4L
Question 8
A ray of light passes through a prism and is re\fracted at an angle of 30°. If the angle of incidence is 20°, what is the angle of re\fraction?
A. 40°
B. 50°
C. 60°
D. 70°
Question 9
A body of mass 2 kg is moving in a circular path of radius 3 m with a cons\tant speed of 4 m/s. What is the magnitude of the force acting on the body?
A. 10 N
B. 12 N
C. 15 N
D. 20 N
Question 10
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. If the particle is subjected to a centripetal force $F_c$, find the value of $F_c$ in terms of $m$, $v$, and $r$.
A. \frac{mv^2}{r}
B. \frac{mv}{r}
C. \frac{m}{vr}
D. \frac{r}{mv}
Question 11
A 5 kg body is moving in a straight line with an initial velocity of 10 m/s. If the body experiences a cons\tant acceleration of 2 m/s², what is its velocity after 5 seconds?
A. 15 m/s
B. 20 m/s
C. 25 m/s
D. 30 m/s
Question 12
A simple harmonic motion has a frequency of 2 Hz and an amplitude of 0.5 m. What is the maximum acceleration of the particle?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
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°, calculate the angle of re\fraction.
A. 20°
B. 30°
C. 40°
D. 50°
Question 14
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 8 nF, what is the charge stored when the potential difference between the plates is 10 V?
A. 8 x 10^-10 C
B. 4 x 10^-10 C
C. 16 x 10^-10 C
D. 32 x 10^-10 C
Question 15
A projectile is launched from the ground with an initial velocity $v_0$ at an angle of elevation $\theta$. If the projectile is subject to a cons\tant acceleration due to gravity $g$, find the maximum height $h$ reached by the projectile in terms of $v_0$, $\theta$, and $g$.
A. \frac{v_0^2\sin^2\theta}{2g}
B. \frac{v_0^2\cos^2\theta}{2g}
C. \frac{v_0^2\sin\theta}{2g}
D. \frac{v_0^2\cos\theta}{2g}

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