POST UTME AAUA 2018 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A particle of mass $m$ is moving in a circular orbit of radius $r$ with a speed $v$. What is the magnitude of the centripetal force acting on the particle?
A. \frac{mv^2}{r}
B. \frac{mv}{r}
C. \frac{m}{rv^2}
D. \frac{rv^2}{m}
Question 2
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. What is the magnitude of the centripetal force acting on the particle?
A. \frac{mv^2}{r}
B. \frac{mr^2}{v^2}
C. \frac{v^2}{mr}
D. \frac{r^2}{mv^2}
Question 3
A block of mass $M$ is placed on a frictionless surface and connected to a horizontal spring with spring cons\tant $k$. The block is displaced by a dis\tance $x$ from its equilibrium position and released from rest. What is the angular frequency of the resulting simple harmonic motion?
A. \sqrt{\frac{k}{M}}
B. \frac{k}{M}
C. \frac{M}{k}
D. \frac{\pi}{\sqrt{kM}}
Question 4
A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 20 V. If a dielectric material with a dielectric cons\tant of 2 is inserted between the plates, what is the new capaci\tance?
A. 20 μF
B. 40 μF
C. 80 μF
D. 100 μF
Question 5
A wave function is given by \[\psi(x) = Ae^{-\alpha x^2}\]. If the wave function is normalized, what is the value of the cons\tant $A$?
A. \left\( \frac{1}{\sqrt{2\alpha}}\right \)^{1/2}
B. \left\( \frac{1}{\sqrt{2\alpha}}\right \)^{1/2}
C. \left\( \frac{1}{\sqrt{2\alpha}}\right \)^{1/2}
D. \left\( \frac{1}{\sqrt{2\alpha}}\right \)^{1/2}
Question 6
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. If the current in the circuit is 2 A, what is the potential difference across the 6 Ω resistor?
A. 6 V
B. 8 V
C. 10 V
D. 12 V
Question 7
A resistor of 4 Ω is connected in series with a 6 Ω resistor and a 12 V battery. What is the current in the circuit?
A. 0.5 A
B. 1.0 A
C. 1.5 A
D. 2.0 A
Question 8
A coil of wire has an induc\tance of $L$ and a resis\tance of $R$. If a current $I$ flows through the coil, what is the energy stored in the coil?
A. \frac{1}{2}LI^2
B. \frac{1}{2}RI^2
C. \frac{1}{2}LI^2 + \frac{1}{2}RI^2
D. \frac{1}{2}LI^2 - \frac{1}{2}RI^2
Question 9
A particle of mass $m$ is moving in a circular orbit of radius $r$ with a speed $v$. If the particle is subject to a centripetal force $F_c = \frac{mv^2}{r}$, what is the magnitude of the acceleration of the particle?
A. \frac{mv^2}{r^2}
B. \frac{mv^2}{r}
C. \frac{v^2}{r}
D. \frac{mv}{r}
Question 10
A gas at cons\tant volume is heated from 300 K to 400 K. If the initial pressure is 1.2 atm, what is the final pressure?
A. 1.5 atm
B. 1.8 atm
C. 2.0 atm
D. 2.4 atm
Question 11
A wave has a frequency of 200 Hz and a wavelength of 0.01 m. What is its speed?
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 12
A circuit consists of a resistor $R$ and an inductor $L$ connected in series. If a current $I$ flows through the circuit, what is the total impedance of the circuit?
A. \sqrt{R^2 + L^2}
B. \frac{R}{L}
C. \frac{L}{R}
D. \frac{R + L}{2}
Question 13
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the current in the circuit?
A. 1 A
B. 2 A
C. 3 A
D. 4 A
Question 14
A block of mass 5 kg is placed on a horizontal surface with a coefficient of static friction of 0.5. If a force of 20 N is applied to the block, what is the acceleration of the block?
A. 0.5 m/s^2
B. 1.0 m/s^2
C. 1.5 m/s^2
D. 2.0 m/s^2
Question 15
A gas is confined to a container of volume $V$ at a temperature $T$. What is the average kinetic energy of the molecules in the gas?
A. \frac{3}{2}kT
B. \frac{1}{2}kT
C. \frac{5}{2}kT
D. \frac{7}{2}kT

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