POST UTME VERITAS UNIVERSITY 2020 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. What is the current flowing through the circuit?
A. 1 A
B. 2 A
C. 3 A
D. 4 A
Question 2
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 3
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 4
A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 5 Ω resistor connected in series. If a voltage of 12 V is applied across the circuit, what is the current flowing through the 10 Ω resistor?
A. 0.4 A
B. 0.6 A
C. 0.8 A
D. 1 A
Question 5
A charged particle of mass $m$ and charge $q$ is moving in a circular orbit around a fixed point charge $Q$. Assuming the motion is uniform circular motion, find the speed of the particle.
A. \sqrt{\frac{k Q q}{m}}
B. \frac{k Q q}{m}
C. \frac{m}{k Q q}
D. \frac{1}{\sqrt{mk Q q}}
Question 6
A ray of light passes through a prism and is re\fracted. If the angle of incidence is 30° and the angle of re\fraction is 20°, what is the angle of deviation?
A. 10°
B. 20°
C. 30°
D. 40°
Question 7
A 2 kg block is attached to a horizontal spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.5 m from its equilibrium position and released, what is the maximum speed of the block?
A. 1 m/s
B. 2 m/s
C. 3 m/s
D. 4 m/s
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. 1 m/s^2
B. 2 m/s^2
C. 3 m/s^2
D. 4 m/s^2
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 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 11
A radioactive sample has a half-life of 10 years. If the initial activity of the sample is 100 Bq, what is the activity of the sample after 20 years?
A. 50 Bq
B. 25 Bq
C. 12.5 Bq
D. 6.25 Bq
Question 12
A radioactive sample decays from 100 g to 50 g in 10 years. What is the half-life of the sample?
A. 5 years
B. 10 years
C. 15 years
D. 20 years
Question 13
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 14
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 15
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

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