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POST UTME ELIZADE UNIVERSITY 2017 Physics | Objective

Are you preparing for POST UTME ELIZADE UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2017 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 a voltage source $V_0$ with a frequency $f$. Assuming the circuit is in resonance, find the impedance of the circuit.

Correct A. R

B. L

C. C

D. \frac{1}{R}

Correct Answer: A

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Question 3

A beam of light passes through a prism and is re\fracted. The angle of incidence is $i$ and the angle of re\fraction is $r$. Assuming the prism is made of glass with a re\fractive index $n$, find the angle of deviation.

Correct A. $ n-1 $$ i-r $

B. $ n-1 $$ i+r $

C. $ n+1 $$ i-r $

D. $ n+1 $$ i+r $

Correct Answer: A

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Question 4

A capacitor consists of two parallel plates separated by a dis\tance $d$. The plates have a charge $Q$ and a capaci\tance $C$. Assuming the electric field between the plates is uniform, find the potential difference between the plates.

Correct A. \frac{Q}{C}

B. \frac{C}{Q}

C. \frac{d}{C}

D. \frac{C}{d}

Correct Answer: A

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Question 5

A particle of mass $m$ is in a one-dimensional potential well of depth $V_0$. Assuming the particle is in the ground state, find the energy of the particle.

Correct A. \frac{\hbar^2}{2m} \left$ \frac{\pi}{L} \right $^2

B. \frac{\hbar^2}{2m} \left$ \frac{2\pi}{L} \right $^2

C. \frac{\hbar^2}{2m} \left$ \frac{3\pi}{L} \right $^2

D. \frac{\hbar^2}{2m} \left$ \frac{4\pi}{L} \right $^2

Correct Answer: A

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Question 6

A gas is enclosed in a container with a movable piston. The gas is heated, cau\sing its pressure to increase. Which of the following statements is true about the change in the gas's volume?

A. The volume of the gas decreases.

Correct B. The volume of the gas increases.

C. The volume of the gas remains cons\tant.

D. The volume of the gas decreases, then increases.

Correct Answer: B

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Question 7

A magnetic field is generated by a current-carrying wire. Which of the following statements is true about the direction of the magnetic field?

A. The magnetic field lines are parallel to the wire.

Correct B. The magnetic field lines are perp\endicular to the wire.

C. The magnetic field lines are at an angle to the wire.

D. The magnetic field lines are circular around the wire.

Correct Answer: B

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Question 8

A circuit consists of a battery, a resistor, and a switch. The switch is closed, and the circuit is connected. Which of the following statements is true about the current flowing through the circuit?

A. The current flowing through the circuit is zero.

Correct B. The current flowing through the circuit is cons\tant.

C. The current flowing through the circuit increases over time.

D. The current flowing through the circuit decreases over time.

Correct Answer: B

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Question 9

A beam of light passes through a prism and is re\fracted. Which of the following statements is true about the angle of re\fraction?

A. The angle of re\fraction is equal to the angle of incidence.

Correct B. The angle of re\fraction is greater than the angle of incidence.

C. The angle of re\fraction is less than the angle of incidence.

D. The angle of re\fraction is perp\endicular to the angle of incidence.

Correct Answer: B

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Question 10

A radioactive sample decays at a rate proportional to its current mass. Which of the following statements is true about the decay rate?

A. The decay rate is cons\tant.

Correct B. The decay rate is proportional to the current mass.

C. The decay rate is inversely proportional to the current mass.

D. The decay rate is indep\endent of the current mass.

Correct Answer: B

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Question 11

A parallel plate capacitor is connected to a battery of 12 V. If the dis\tance between the plates is 5 mm and the area of each plate is 0.01 m^2, calculate the capaci\tance u\sing the formula C = $ varepsilon_0 \frac{A}{d} $ where $ varepsilon_0 $ is the permittivity of free space.

A. 1.6 x 10^-11 F

Correct B. 1.6 x 10^-10 F

C. 1.6 x 10^-9 F

D. 1.6 x 10^-8 F

Correct Answer: B

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Question 12

A block of mass 2 kg is attached to a horizontal spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position and released from rest, calculate the maximum velocity of the block u\sing the equation for simple harmonic motion.

A. 0.2 m/s

B. 0.4 m/s

Correct C. 0.6 m/s

D. 0.8 m/s

Correct Answer: C

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Question 13

A ray of light passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction u\sing Snell's law.

A. 20°

Correct B. 25°

C. 30°

D. 35°

Correct Answer: B

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Question 14

A 10 μC charge is placed at the center of a circular loop of radius 0.1 m. Calculate the electric field at a point on the circumference of the loop u\sing the formula E = $ \frac{kQ}{r^2} $ where k is Coulomb's cons\tant.

A. 1 x 10^-6 N/C

Correct B. 1 x 10^-5 N/C

C. 1 x 10^-4 N/C

D. 1 x 10^-3 N/C

Correct Answer: B

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Question 15

A 100 W bulb is connected to a 220 V power supply. Calculate the current drawn by the bulb u\sing the formula P = VI.

A. 0.5 A

B. 0.6 A

Correct C. 0.7 A

D. 0.8 A

Correct Answer: C

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Question 16

A particle of mass 2 kg is attached to a spring with spring cons\tant 100 N/m. It is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the time taken for the particle to reach its maximum speed.

A. 0.1 s

B. 0.2 s

Correct C. 0.5 s

D. 1 s

Correct Answer: C

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Question 17

A convex lens of focal length 20 cm is used to form an image of an object placed 30 cm in front of it. Calculate the magnification of the image.

A. 0.5

Correct B. 1

C. 2

D. 3

Correct Answer: B

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Question 18

A 10 V AC source is connected to a 20 Ω resistor. Calculate the current flowing through the resistor.

A. 0.5 A

Correct B. 1 A

C. 2 A

D. 5 A

Correct Answer: B

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Question 19

A magnetic field of 0.5 T is applied to a coil of 100 turns and radius 0.1 m. Calculate the induced emf in the coil.

A. 0.1 V

Correct B. 0.5 V

C. 1 V

D. 5 V

Correct Answer: B

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Question 20

A fluid of density 1000 kg/m³ is held in a container by a spring of spring cons\tant 100 N/m. Calculate the pressure at the bottom of the container.

A. 1000 Pa

B. 5000 Pa

Correct C. 10000 Pa

D. 20000 Pa

Correct Answer: C

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Question 21

A 1000-turn coil of wire is placed in a magnetic field with a flux density of 0.5 T. If the coil is rotated by 90°, what is the change in magnetic flux through the coil?

A. 0 Wb

Correct B. 0.5 Wb

C. 100 Wb

D. 500 Wb

Correct Answer: B

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Question 22

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. What is the magnitude of the centripetal force acting on the particle?

A. 10 N

B. 20 N

Correct C. 30 N

D. 40 N

Correct Answer: C

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Question 23

A convex lens of focal length 20 cm is used to form an image of an object placed 30 cm in front of it. What is the magnification of the image?

A. -0.5

B. -1

Correct C. -1.5

D. -2

Correct Answer: C

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Question 24

A beam of light is incident on a glass plate at an angle of 60°. If the re\fractive index of the glass is 1.5, what is the angle of re\fraction?

A. 30°

Correct B. 40°

C. 50°

D. 60°

Correct Answer: B

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Question 25

A 100 W light bulb is connected to a 220 V power supply. What is the current drawn by the bulb?

A. 0.25 A

B. 0.5 A

C. 0.75 A

Correct D. 1 A

Correct Answer: D

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