POST UTME MOUNTAIN TOP UNIVERSITY 2019 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. Calculate the current flowing through the circuit.
A. 1 A
B. 2 A
C. 3 A
D. 4 A
Question 2
A vector $\vec{A}$ has a magnitude of $A$ and makes an angle $\theta$ with the positive $x$-axis. Find the $x$-component of $\vec{A}$.
A. A \cos \theta
B. A \sin \theta
C. A \cos \theta + A \sin \theta
D. A \cos \theta - A \sin \theta
Question 3
A block of mass $m$ is attached to a horizontal spring of spring cons\tant $k$. If the block is displaced by a dis\tance $x$ and released from rest, what is the maximum speed of the block?
A. \sqrt{\frac{kx^2}{m}}
B. \sqrt{\frac{mx^2}{k}}
C. \sqrt{\frac{k^2x^2}{m}}
D. \sqrt{\frac{m^2x^2}{k}}
Question 4
A block of mass 5 kg is moving in a straight line with an initial velocity of 10 m/s. If the block is subjected to a force of 20 N for 2 seconds, what is the final velocity of the block?
A. 12 m/s
B. 15 m/s
C. 18 m/s
D. 20 m/s
Question 5
A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. The circuit is driven by an alternating voltage source with a frequency of $f$. Find the impedance of the circuit.
A. \sqrt{R^2 + \( \omega L - \frac{1}{\omega C} \)^2}
B. R + \omega L - \frac{1}{\omega C}
C. \omega L + \frac{1}{\omega C}
D. R - \omega L + \frac{1}{\omega C}
Question 6
A wave of frequency 50 Hz and amplitude 2 m is traveling through a medium with a speed of 100 m/s. If the wave is reflected from a fixed \end, what is the maximum acceleration of the wave at the fixed \end?
A. 10 m/s^2
B. 20 m/s^2
C. 30 m/s^2
D. 40 m/s^2
Question 7
A heat engine operates between 500 K and 300 K with an efficiency of 30%. If the heat input is 1000 J, calculate the work output.
A. 300 J
B. 400 J
C. 500 J
D. 600 J
Question 8
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 9
A 50 Hz AC voltage source is connected to a 100 Ω resistor. If the maximum value of the voltage is 200 V, what is the rms value of the current in the circuit?
A. 0.5 A
B. 1 A
C. 2 A
D. 5 A
Question 10
A radioactive sample of Δₗ emits Δₗα particles with a half-life of 5.27 years. If the initial activity is 100 Bq, what is the activity after 10.5 years?
A. 50 Bq
B. 25 Bq
C. 12.5 Bq
D. 6.25 Bq
Question 11
A 10 g sample of a radioactive subs\tance decays to 5 g in 10 days. If the half-life of the subs\tance is 20 days, calculate the decay cons\tant.
A. 0.01 d^-1
B. 0.02 d^-1
C. 0.03 d^-1
D. 0.04 d^-1
Question 12
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the dielectric cons\tant of the material between the plates is 3, and the potential difference between the plates is 10 V, calculate the capaci\tance of the capacitor.
A. 0.02 F
B. 0.04 F
C. 0.06 F
D. 0.08 F
Question 13
A 100 W heater is connected to a 230 V mains supply. What is the current drawn?
A. 0.5 A
B. 1.0 A
C. 1.5 A
D. 2.0 A
Question 14
A system is in equilibrium under the action of three forces: $\vec{F}_1$, $\vec{F}_2$, and $\vec{F}_3$. Find the net force acting on the system.
A. \vec{F}_1 + \vec{F}_2 + \vec{F}_3
B. \vec{F}_1 - \vec{F}_2 + \vec{F}_3
C. \vec{F}_1 + \vec{F}_2 - \vec{F}_3
D. \vec{F}_1 - \vec{F}_2 - \vec{F}_3
Question 15
A 2.0 mH inductor is connected in series with a 3.0 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

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