POST UTME SUMMIT UNIVERSITY 2022 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 2
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 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 projectile is launched from the ground with an initial velocity $v_0$ at an angle $\theta$ above the horizontal. If the projectile lands at a dis\tance $R$ from the launch point, what is the magnitude of the horizontal component of the projectile's velocity at the moment it lands?
A. v_0 \cos \theta
B. v_0 \sin \theta
C. v_0 \cos \theta + v_0 \sin \theta
D. v_0 \cos \theta - v_0 \sin \theta
Question 5
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 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. 15 N
Question 6
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 subjected to a centripetal force of 10 N, what is the magnitude of the 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 7
A wave of frequency $f$ and amplitude $A$ is traveling through a medium with a speed $v$. If the wave is reflected off a fixed \end, what is the magnitude of the displacement of the wave at the fixed \end?
A. 0
B. A
C. -A
D. 2A
Question 8
A capacitor of capaci\tance 2 μF is connected in series with a resistor of resis\tance 3 Ω. If a voltage of 12 V is applied across the circuit, what is the current in the circuit?
A. 2 A
B. 3 A
C. 4 A
D. 5 A
Question 9
A radioactive sample has a half-life of $T_{1/2}$. If the initial activity of the sample is $A_0$, what is the activity of the sample after a time $t$?
A. A_0 \left\( \frac{1}{2}\right \)^{t/T_{1/2}}
B. A_0 \left\( \frac{1}{2}\right \)^{T_{1/2}/t}
C. A_0 \left\( \frac{1}{2}\right \)^{t/T_{1/2}} + A_0
D. A_0 \left\( \frac{1}{2}\right \)^{T_{1/2}/t} + A_0
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 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 11
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 12
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 13
A wave has a frequency of 20 Hz and a wavelength of 1 m. What is the speed of the wave?
A. 40 m/s
B. 80 m/s
C. 100 m/s
D. 120 m/s
Question 14
A charged particle of mass 1 kg and charge 2 C is moving in a uniform magnetic field of strength 3 T. If the particle has a velocity of 4 m/s, what is the magnitude of the force acting on the particle?
A. 6 N
B. 8 N
C. 10 N
D. 12 N
Question 15
A parallel plate capacitor has a capaci\tance of 10 μF and is connected to a 12 V battery. If the dis\tance between the plates is doubled, what is the new capaci\tance?
A. 20 μF
B. 5 μF
C. 10 μF
D. 2.5 μF

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