POST UTME SUMMIT UNIVERSITY 2022 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A parallel plate capacitor has plates of area $A$ and separation $d$. If a charge $Q$ is placed on the plates, determine the electric field between the plates.
A. \( E = \frac{Q}{\epsilon_0 A} \)
B. \( E = \frac{Q}{\epsilon_0 d} \)
C. \( E = \frac{Q}{\epsilon_0 A^2} \)
D. \( E = \frac{Q}{\epsilon_0 d^2} \)
Question 2
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. If the particle is subject to a centripetal force $F_c$, determine the magnitude of the force.
A. \( F_c = \frac{mv^2}{r} \)
B. \( F_c = \frac{mr^2}{v^2} \)
C. \( F_c = \frac{mv^2}{r^2} \)
D. \( F_c = \frac{mr^2}{v} \)
Question 3
A gas expands from 2 L to 5 L against a cons\tant external pressure of 2 atm. What is the work done by the gas?
A. 10 J
B. 20 J
C. 30 J
D. 40 J
Question 4
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. 250 m/s
D. 300 m/s
Question 5
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 $F_c = \frac{mv^2}{r}$, what is the magnitude of the acceleration of the particle?
A. \frac{v}{r}
B. \frac{v^2}{r}
C. \frac{mv^2}{r^2}
D. \frac{mv^2}{r}
Question 6
A gas is contained in a cylinder of volume $V$ and is heated from temperature $T_1$ to $T_2$. If the gas is ideal, determine the work done by the gas during the heating process.
A. \( W = nR\( T_2 - T_1 \)
B. \( W = nR\( T_1 + T_2 \)
C. \( W = nR\( T_1 - T_2 \)
D. \( W = nR\( T_2 + T_1 \)
Question 7
A 2.5 m long wire of resis\tance 3.5 Ω is connected in series with a 9 V battery and a 4.2 Ω resistor. If the current through the 4.2 Ω resistor is 0.8 A, what is the potential difference across the 3.5 Ω wire?
A. 7.2 V
B. 9 V
C. 10.8 V
D. 12 V
Question 8
A block of mass 5 kg is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. If the block is displaced by 2 m from its equilibrium position and released from rest, what is the maximum speed of the block?
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 9
A nucleus has a mass number of 238 and an atomic number of 92. What is its charge?
A. +92e
B. +93e
C. +94e
D. +95e
Question 10
A block of mass 2 kg is attached to a horizontal spring with a spring 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. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 11
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 acceleration of the particle?
A. 10 m/s^2
B. 12 m/s^2
C. 15 m/s^2
D. 20 m/s^2
Question 12
A circuit consists of a 12 V battery, a 4 Ω resistor, and an unknown resistor R. If the current in the circuit is 2 A, what is the value of R?
A. 2 Ω
B. 4 Ω
C. 6 Ω
D. 8 Ω
Question 13
A capacitor of 10 μF is charged to a potential difference of 5 V. What is the energy stored in the capacitor?
A. 0.01 J
B. 0.02 J
C. 0.03 J
D. 0.04 J
Question 14
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 subject to a centripetal acceleration of 2 m/s^2, what is the magnitude of the net force acting on the particle?
A. 8 N
B. 10 N
C. 12 N
D. 16 N
Question 15
A force of 10 N is applied to an object of mass 2 kg, cau\sing it to accelerate at 5 m/s^2. What is the net force acting on the object?
A. 5 N
B. 10 N
C. 15 N
D. 20 N

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