POST UTME VERITAS UNIVERSITY 2020 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. The circuit is driven by an alternating voltage source with a frequency of $f$. Assuming the circuit is in resonance, find the impedance of the circuit.
A. \frac{1}{\sqrt{\frac{1}{R^2} + \frac{1}{\( \omega L - \frac{1}{\omega C} \)^2}}}
B. \frac{1}{R}
C. \frac{1}{\omega L}
D. \frac{1}{\omega C}
Question 2
A point charge of +2 μC is placed at the origin. A second point charge of -3 μC is placed 0.5 m away from the first charge. What is the magnitude of the electric field at a point 0.2 m away from the second charge?
A. 1.2 × 10^4 N/C
B. 2.4 × 10^4 N/C
C. 3.6 × 10^4 N/C
D. 4.8 × 10^4 N/C
Question 3
A vector (mathbf{A}) has a magnitude of 5 units and is directed at an angle of 30° to the positive x-axis. What is the x-component of the vector?
A. \( A_x = |mathbf{A}| \cos \theta \)
B. \( A_x = |mathbf{A}| \sin \theta \)
C. \( A_x = |mathbf{A}| \tan \theta \)
D. \( A_x = |mathbf{A}| cot \theta \)
Question 4
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. 1 m/s^2
B. 2 m/s^2
C. 3 m/s^2
D. 4 m/s^2
Question 5
A beam of light passes through a double-slit apparatus and forms an interference pattern on a screen. The dis\tance between the slits is $d$ and the wavelength of the light is $\lambda$. Assuming the light is monochromatic, find the dis\tance between the central maximum and the first minimum.
A. \frac{d \lambda}{2 \pi}
B. \frac{d \lambda}{\pi}
C. \frac{\lambda}{d}
D. \frac{2 \pi d}{\lambda}
Question 6
A thermodynamic system is in equilibrium when the rate of heat transfer is equal to the rate of heat absorption. What is the temperature of the system in this state?
A. \( T = \frac{Q}{Delta S} \)
B. \( T = \frac{Delta S}{Q} \)
C. \( T = \frac{Q}{Delta U} \)
D. \( T = \frac{Delta U}{Q} \)
Question 7
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the current flowing through the circuit?
A. 1 A
B. 2 A
C. 3 A
D. 4 A
Question 8
A spring with a spring cons\tant of 100 N/m is stretched by 2 m. What is the potential energy stored in the spring?
A. 100 J
B. 200 J
C. 300 J
D. 400 J
Question 9
A block of mass 5 kg is moving with a velocity of 2 m/s. If a force of 10 N is applied to the block, what is the acceleration of the block?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 10
A light ray passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 20°
B. 30°
C. 40°
D. 50°
Question 11
A radioactive sample has a half-life of 5 years. If the initial activity is 100 Bq, what is the activity after 10 years?
A. 12.5 Bq
B. 25 Bq
C. 50 Bq
D. 100 Bq
Question 12
A gas is heated from 20°C to 50°C. If the initial volume is 2 L and the final volume is 3 L, what is the final pressure of the gas?
A. 1 atm
B. 2 atm
C. 3 atm
D. 4 atm
Question 13
A particle of mass $m$ is attached to a spring with spring cons\tant $k$. The particle is displaced from its equilibrium position by a dis\tance $x_0$ and released from rest. Assuming the motion is simple harmonic, find the angular frequency of the particle's motion.
A. \sqrt{\frac{k}{m}}
B. \frac{k}{m}
C. \frac{m}{k}
D. \frac{1}{\sqrt{mk}}
Question 14
A 2 kg block of copper is heated from 20°C to 80°C. If the specific heat capacity of copper is 0.385 J/g°C, calculate the energy required to heat the block.
A. 800 J
B. 1600 J
C. 2400 J
D. 3200 J
Question 15
A thermodynamic system undergoes a process from state A to state B, where the internal energy (U) increases by 100 J. If the system is heated by 50 J of heat energy (Q), determine the work done (W) on the system.
A. 150 J
B. 200 J
C. 250 J
D. 300 J

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: