POST UTME UNIPORT 2021 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. If the circuit is driven by an alternating voltage source with a frequency of $f$, what is the impedance of the circuit?
A. $\sqrt{R^2 + \( \omega L - \frac{1}{\omega C} \)^2}$
B. $\sqrt{R^2 + \( \omega L + \frac{1}{\omega C} \)^2}$
C. $\sqrt{R^2 - \( \omega L - \frac{1}{\omega C} \)^2}$
D. $\sqrt{R^2 - \( \omega L + \frac{1}{\omega C} \)^2}$
Question 2
A sound wave with a frequency of 200 Hz and a wavelength of 0.5 m is traveling through a medium. Calculate the speed of the sound wave.
A. 100 m/s
B. 200 m/s
C. 300 m/s
D. 400 m/s
Question 3
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 force of 12 N, what is the magnitude of the acceleration of the particle?
A. 4 m/s^2
B. 6 m/s^2
C. 8 m/s^2
D. 10 m/s^2
Question 4
A simple harmonic motion has a period of 2 s and an amplitude of 0.5 m. If the motion starts from its equilibrium position, what is the maximum acceleration of the motion?
A. 0.25 m/s^2
B. 0.50 m/s^2
C. 0.75 m/s^2
D. 1.00 m/s^2
Question 5
A wave function is given by \psi(x) = Ae^{-\frac{x^2}{2a^2}}. If the wave function is normalized, what is the value of A?
A. 1/\sqrt{\pi a}
B. 1/\sqrt{2\pi a}
C. 1/\sqrt{a}
D. 1/\sqrt{2a}
Question 6
A 500 g block of ice at 0°C is placed in a 1000 g block of water at 80°C. Assuming no heat is lost to the surroundings, calculate the final temperature of the system.
A. 10°C
B. 20°C
C. 30°C
D. 40°C
Question 7
A coil of wire is placed in a magnetic field and rotated at a frequency of $f$. If the coil has a resis\tance of $R$ and an induc\tance of $L$, what is the magnitude of the current in the coil?
A. \frac{V}{R}
B. \frac{V}{R^2}
C. \frac{V}{R^3}
D. \frac{V}{R^4}
Question 8
A ray of light passes through a prism and is re\fracted at an angle of $\theta$. If the angle of incidence is $\alpha$ and the angle of emergence is $\beta$, what is the magnitude of the deviation?
A. \theta + \alpha - \beta
B. \theta - \alpha + \beta
C. \theta + \beta - \alpha
D. \theta - \beta + \alpha
Question 9
A circuit consists of a resistor $R$ and an inductor $L$ connected in series. If the circuit is driven by an alternating voltage source with a frequency of $f$, what is the phase angle between the current and the voltage?
A. $\tan^{-1} \frac{\omega L}{R}$
B. $\tan^{-1} \frac{R}{\omega L}$
C. $\tan^{-1} \frac{\omega L - R}{\omega L + R}$
D. $\tan^{-1} \frac{\omega L + R}{\omega L - R}$
Question 10
A magnetic field of 0.5 T is applied to a coil of 100 turns. What is the induced emf?
A. 0.5 V
B. 1 V
C. 2 V
D. 5 V
Question 11
A 100 W bulb is connected to a 220 V power supply. What is the current drawn by the bulb?
A. 0.4 A
B. 0.5 A
C. 0.6 A
D. 0.7 A
Question 12
A heat engine operates between the temperatures of 500 K and 300 K. If the efficiency of the engine is 30%, what is the work done by the engine per cycle?
A. 100 J
B. 200 J
C. 500 J
D. 1000 J
Question 13
A capacitor of capaci\tance 10 μF is connected in series with a resistor of resis\tance 100 Ω. If a voltage of 20 V is applied across the circuit, what is the current flowing through the circuit?
A. 0.2 A
B. 0.4 A
C. 0.6 A
D. 0.8 A
Question 14
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If the acceleration due to gravity is 9.8 m/s^2, what is the maximum height reached by the projectile?
A. 10.4 m
B. 12.2 m
C. 14.0 m
D. 15.8 m
Question 15
A sound wave of frequency 200 Hz is emitted from a source moving at a speed of 10 m/s. If the observer is stationary, what is the apparent frequency heard by the observer?
A. 180 Hz
B. 200 Hz
C. 220 Hz
D. 240 Hz

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Help others prepare! Share this practice hub: