POST UTME VERITAS UNIVERSITY 2020 Physics | Objective

Are you preparing for POST UTME VERITAS UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2020 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1
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.
Correct A. \sqrt{\frac{k}{m}}
B. \frac{k}{m}
C. \frac{m}{k}
D. \frac{1}{\sqrt{mk}}

Correct Answer: A

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Question 2
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.
Correct 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}

Correct Answer: A

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Question 3
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.
Correct A. \frac{d \lambda}{2 \pi}
B. \frac{d \lambda}{\pi}
C. \frac{\lambda}{d}
D. \frac{2 \pi d}{\lambda}

Correct Answer: A

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Question 4
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.
Correct 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}}

Correct Answer: A

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Question 5
A parallel plate capacitor has a capaci\tance of $C$ and is charged to a potential difference of $V$. Assuming the capacitor is connected to a battery, find the energy stored in the capacitor.
Correct A. \frac{1}{2} C V^2
B. C V
C. \frac{V}{C}
D. \frac{1}{C V}

Correct Answer: A

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Question 6
A particle of mass 2 kg is moving in a circular path with a cons\tant speed of 4 m/s. If the radius of the circular path is 3 m, calculate the magnitude of the centripetal acceleration.
Correct A. 16 m/s^2
B. 12 m/s^2
C. 8 m/s^2
D. 4 m/s^2

Correct Answer: A

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Question 7
A parallel plate capacitor has a capaci\tance of 2 μF and is charged to a potential difference of 10 V. If the dis\tance between the plates is doubled, what is the new potential difference?
A. 5 V
Correct B. 10 V
C. 20 V
D. 40 V

Correct Answer: B

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Question 8
A lens of focal length 20 cm is used to form an image of an object placed 30 cm away. What is the magnification of the image?
Correct A. -1
B. -0.5
C. 0.5
D. 1

Correct Answer: A

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Question 9
A projectile is launched at an angle of 60° to the horizontal with an initial velocity of 20 m/s. If the air resis\tance is neglected, what is the time of flight?
A. 2 s
Correct B. 4 s
C. 6 s
D. 8 s

Correct Answer: B

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Question 10
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?
Correct A. 0.4 A
B. 0.6 A
C. 0.8 A
D. 1 A

Correct Answer: A

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Question 11
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
Correct B. 1600 J
C. 2400 J
D. 3200 J

Correct Answer: B

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Question 12
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
Correct C. 3.6 × 10^4 N/C
D. 4.8 × 10^4 N/C

Correct Answer: C

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Question 13
A radioactive sample decays from 100 g to 50 g in 10 years. What is the half-life of the sample?
A. 5 years
Correct B. 10 years
C. 15 years
D. 20 years

Correct Answer: B

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Question 14
A spring with a spring cons\tant of 100 N/m is stretched by 0.2 m. What is the potential energy stored in the spring?
A. 10 J
B. 20 J
Correct C. 30 J
D. 40 J

Correct Answer: C

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Question 15
A 10 kg block is placed on a frictionless surface. A force of 20 N is applied to the block. What is the acceleration of the block?
A. 2 m/s^2
Correct B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2

Correct Answer: B

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Question 16
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 acceleration of 2 m/s^2, what is the magnitude of the force acting on the particle?
A. 8 N
Correct B. 12 N
C. 16 N
D. 20 N

Correct Answer: B

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Question 17
A wave has a frequency of 50 Hz and a wavelength of 0.2 m. If the wave is traveling in the positive x-direction, what is the direction of the wave's velocity?
Correct A. positive x-direction
B. negative x-direction
C. positive y-direction
D. negative y-direction

Correct Answer: A

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Question 18
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
Correct D. 6.25 Bq

Correct Answer: D

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Question 19
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
Correct B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2

Correct Answer: B

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Question 20
A wave has a frequency of 200 Hz and a wavelength of 0.05 m. If the wave is traveling in the positive x-direction, what is the direction of the wave's velocity?
Correct A. positive x-direction
B. negative x-direction
C. positive y-direction
D. negative y-direction

Correct Answer: A

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Question 21
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
Correct C. 3 m/s^2
D. 4 m/s^2

Correct Answer: C

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Question 22
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?
Correct A. 20°
B. 30°
C. 40°
D. 50°

Correct Answer: A

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Question 23
A radioactive sample has a half-life of 5 years. If the initial activity is 100 Bq, what is the activity after 10 years?
Correct A. 12.5 Bq
B. 25 Bq
C. 50 Bq
D. 100 Bq

Correct Answer: A

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Question 24
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
Correct B. 200 J
C. 300 J
D. 400 J

Correct Answer: B

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Question 25
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
Correct B. 2 A
C. 3 A
D. 4 A

Correct Answer: B

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