POST UTME AAUA 2018 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A thermodynamic system is in equilibrium at a temperature of $T = 300\,\text{K}$. If the system is heated by an amount of $Q = 100\,\text{J}$, what is the change in entropy?
A. 0.33\,\text{J/K}
B. 0.33\,\text{J/K}
C. 0.33\,\text{J/K}
D. 0.33\,\text{J/K}
Question 2
A parallel plate capacitor has plates of area $A$ and separation $d$. If the capaci\tance is $C$, what is the value of the dielectric cons\tant $kappa$?
A. \frac{Cd}{\epsilon_0 A}
B. \frac{\epsilon_0 A}{Cd}
C. \frac{Cd}{\epsilon_0 A}
D. \frac{\epsilon_0 A}{Cd}
Question 3
A particle of mass 1 kg is moving in a circular path of radius 2 m with a cons\tant speed of 3 m/s. If the particle is subjected to a centripetal force of 5 N, what is the angle between the force and the radius vector?
A. 30°
B. 45°
C. 60°
D. 90°
Question 4
A parallel plate capacitor has a capaci\tance of $C = 2\,\mu\text{F}$ and is charged to a potential difference of $V = 10\,\text{V}$. If the plates are separated by a dis\tance of $d = 0.1\,\text{m}$, what is the surface charge density?
A. 0.02\,\text{C/m}^2
B. 0.02\,\text{C/m}^2
C. 0.02\,\text{C/m}^2
D. 0.02\,\text{C/m}^2
Question 5
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 6
A convex lens has a focal length of 20 cm and is used to form an image of an object placed 30 cm in front of it. If the object is moved 10 cm closer to the lens, what is the new image dis\tance?
A. 15 cm
B. 20 cm
C. 25 cm
D. 30 cm
Question 7
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 8
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 9
A body of mass 5 kg is moving with a velocity of 10 m/s. What is its kinetic energy?
A. 25 J
B. 50 J
C. 75 J
D. 100 J
Question 10
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 11
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 12
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. What is the magnitude of the centripetal acceleration?
A. 1.33 m/s^2
B. 2.67 m/s^2
C. 4.00 m/s^2
D. 6.67 m/s^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 particle of mass $m$ is confined to a one-dimensional box of length $L$. The ground state wave function of the particle is given by (psi(x) = \sqrt{\frac{2}{L}} \sinleft\( \frac{pi x}{L}\right \)). What is the expectation value of the position operator for this state?
A. \frac{L}{2}
B. \frac{L}{4}
C. \frac{3L}{4}
D. \frac{L}{\pi}
Question 15
A gas is heated from 300 K to 400 K at cons\tant volume. If the initial volume is 2 L and the final volume is 3 L, what is the change in internal energy of the gas?
A. 100 J
B. 200 J
C. 300 J
D. 400 J

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