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POST UTME LAUTECH 2023 Physics | Objective

Are you preparing for POST UTME LAUTECH exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2023 Physics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

A particle of mass $m$ is projected from the origin with an initial velocity $v_0$ at an angle $\theta$ to the horizontal. If the particle experiences a uniform gravitational field of strength $g$, determine the time $t$ at which the particle reaches its maximum height.

Correct A. $ \frac{v_0 \sin \theta}{g} $

B. $ \frac{v_0 \cos \theta}{g} $

C. $ \frac{v_0 \sin \theta}{g^2} $

D. $ \frac{v_0 \cos \theta}{g^2} $

Correct Answer: A

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Question 2

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. If the circuit is closed at $t = 0$, determine the current $I$ in the circuit at $t = 2$ s.

A. $ \frac{12}{4} $

B. $ \frac{12}{6} $

Correct C. $ \frac{12}{10} $

D. $ \frac{12}{8} $

Correct Answer: C

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Question 3

A gas is confined to a container with a volume of 2.5 L. If the temperature of the gas is increased from 20°C to 50°C, determine the new volume $V$ of the gas.

Correct A. $ \frac{2.5 \times 330}{293} $

B. $ \frac{2.5 \times 293}{330} $

C. $ \frac{2.5 \times 293}{293} $

D. $ \frac{2.5 \times 330}{330} $

Correct Answer: A

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Question 4

A particle of mass $m$ is moving in a circular path with a radius $r$. If the particle experiences a centripetal force $F_c$ due to a uniform gravitational field of strength $g$, determine the angular velocity $\omega$ of the particle.

Correct A. $ \sqrt{\frac{F_c}{m r}} $

B. $ \sqrt{\frac{m r}{F_c}} $

C. $ \sqrt{\frac{m}{F_c r}} $

D. $ \sqrt{\frac{F_c r}{m}} $

Correct Answer: A

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Question 5

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in parallel. If the circuit is closed at $t = 0$, determine the current $I$ in the circuit at $t = 2$ s.

A. $ \frac{12}{4} $

B. $ \frac{12}{6} $

Correct C. $ \frac{12}{10} $

D. $ \frac{12}{8} $

Correct Answer: C

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Question 6

A radioactive sample of Uranium-238 undergoes \alpha decay. If the initial mass of the sample is 100 g, and the half-life of Uranium-238 is 4.5 billion years, what is the mass of the sample after 9 billion years?

Correct A. 12.5 g

B. 25 g

C. 50 g

D. 100 g

Correct Answer: A

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Question 7

A 2 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position and released from rest, what is the maximum speed of the block?

A. 0.2 m/s

B. 0.5 m/s

Correct C. 1 m/s

D. 2 m/s

Correct Answer: C

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Question 8

A gas is contained in a cylinder of volume 2 L at a pressure of 2 atm. If the pressure is increased to 4 atm while the temperature remains cons\tant, what is the new volume of the gas?

A. 1 L

B. 2 L

C. 4 L

Correct D. 8 L

Correct Answer: D

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Question 9

A point charge of +2 μC is placed at the origin of a coordinate system. If a second point charge of -1 μC is placed at a dis\tance of 0.5 m from the origin, what is the magnitude of the electric field at a point 0.2 m from the origin?

A. 100 N/C

B. 200 N/C

Correct C. 500 N/C

D. 1000 N/C

Correct Answer: C

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Question 10

A capacitor consists of two parallel plates, each with a surface area of 0.1 m^2. If the dis\tance between the plates is 0.01 m, and the dielectric cons\tant of the material between the plates is 2, what is the capaci\tance of the capacitor?

A. 10 nF

B. 20 nF

Correct C. 50 nF

D. 100 nF

Correct Answer: C

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Question 11

A uniform magnetic field of magnitude 2 T is directed along the positive z-axis. A current of 5 A flows through a straight wire of length 0.5 m, placed along the x-axis. The wire is perp\endicular to the magnetic field. What is the magnitude of the force experienced by the wire?

Correct A. 0.25 N

B. 0.5 N

C. 1 N

D. 2 N

Correct Answer: A

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Question 12

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. 8 N

B. 16 N

Correct C. 24 N

D. 32 N

Correct Answer: C

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Question 13

A block of mass 5 kg is placed on a frictionless surface. A force of 10 N is applied to the block, cau\sing it to accelerate at 2 m/s^2. What is the magnitude of the force exerted by the normal reaction?

A. 50 N

B. 55 N

C. 60 N

Correct D. 65 N

Correct Answer: D

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Question 14

A gas is heated from 300 K to 400 K at cons\tant volume. What is the ratio of the final pressure to the initial pressure?

A. 1.33

B. 1.5

Correct C. 1.67

D. 2

Correct Answer: C

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Question 15

A simple harmonic motion has a maximum displacement of 2 m and a period of 4 s. What is the angular frequency?

A. 1.57 rad/s

B. 3.14 rad/s

Correct C. 6.28 rad/s

D. 9.42 rad/s

Correct Answer: C

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Question 16

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 3.0, calculate the capaci\tance.

A. 1.0 x 10^-9 F

B. 2.0 x 10^-9 F

Correct C. 3.0 x 10^-9 F

D. 4.0 x 10^-9 F

Correct Answer: C

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Question 17

A particle of mass 0.5 kg is moving in a circular path of radius 0.2 m with a speed of 2 m/s. Calculate the centripetal force acting on the particle.

A. 0.1 N

Correct B. 0.2 N

C. 0.3 N

D. 0.4 N

Correct Answer: B

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Question 18

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 0.1 m from its equilibrium position and released from rest, calculate the maximum speed of the block.

A. 0.1 m/s

B. 0.2 m/s

Correct C. 0.3 m/s

D. 0.4 m/s

Correct Answer: C

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Question 19

A 10 V battery is connected in series with a 5 ohm resistor and a 2 ohm resistor. Calculate the equivalent resis\tance of the circuit.

A. 3 ohm

B. 5 ohm

Correct C. 7 ohm

D. 10 ohm

Correct Answer: C

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Question 20

A 2 kg block is susp\ended from a spring with a spring cons\tant of 200 N/m. If the block is displaced by 0.2 m from its equilibrium position, calculate the potential energy stored in the spring.

A. 20 J

B. 40 J

Correct C. 60 J

D. 80 J

Correct Answer: C

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Question 21

A 5 ohm resistor is connected in parallel with a 10 ohm resistor. Calculate the equivalent resis\tance of the circuit.

A. 2.5 ohm

B. 3.0 ohm

Correct C. 3.5 ohm

D. 4.0 ohm

Correct Answer: C

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Question 22

A 10 V battery is connected in series with a 5 ohm resistor and a 2 ohm resistor. Calculate the current flowing through the 5 ohm resistor.

A. 0.5 A

B. 1.0 A

Correct C. 1.5 A

D. 2.0 A

Correct Answer: C

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Question 23

A parallel plate capacitor has plates of area 0.04 m^2 and separation 3 mm. If a potential difference of 10 V is applied across the plates, calculate the capaci\tance.

Correct A. 1.33 x 10^-9 F

B. 1.33 x 10^-8 F

C. 1.33 x 10^-7 F

D. 1.33 x 10^-6 F

Correct Answer: A

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Question 24

A ray of light passes from air into a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.

Correct A. 20°

B. 30°

C. 40°

D. 50°

Correct Answer: A

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Question 25

A 100 Ω resistor is connected in series with a 20 mH inductor and a 10 μF capacitor. If the frequency of the AC source is 50 Hz, calculate the impedance of the circuit.

A. 150 Ω

Correct B. 200 Ω

C. 250 Ω

D. 300 Ω

Correct Answer: B

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