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POST UTME OAU 2019 Physics | Objective

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Question 1 View Details

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 is a correct statement about the behavior of the gas?

A. The gas expands to fill the container.

B. The gas contracts to occupy less space.

C. The gas does not change volume.

Correct D. The gas expands and occupies more space.

Correct Answer: D

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Question 2 View Details

A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle has a speed of 4 m/s, what is its angular velocity?

A. 2 rad/s

B. 4 rad/s

Correct C. 6 rad/s

D. 8 rad/s

Correct Answer: C

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Question 3 View Details

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the total resis\tance of the circuit?

A. 6 Ω

B. 8 Ω

Correct C. 10 Ω

D. 12 Ω

Correct Answer: C

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Question 4 View Details

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

A. 20°

Correct B. 25°

C. 30°

D. 35°

Correct Answer: B

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Question 5 View Details

A spring with a spring cons\tant of 100 N/m is stretched by 2 m. What is the work done in stretching the spring?

A. 200 J

Correct B. 400 J

C. 600 J

D. 800 J

Correct Answer: B

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Question 6 View Details

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 experiences a centripetal force of 12 N, what is the magnitude of the force?

A. 8 N

Correct B. 12 N

C. 16 N

D. 24 N

Correct Answer: B

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Question 7 View Details

A capacitor is connected in series with a resistor and a battery. The capacitor has a capaci\tance of 2 μF and the battery has a voltage of 12 V. If the resistor has a resis\tance of 4 Ω, 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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Question 8 View Details

A block of mass 5 kg is placed on a frictionless surface and a horizontal force of 10 N is applied to it. If the block starts from rest, what is its velocity after 2 s?

A. 2 m/s

Correct B. 4 m/s

C. 6 m/s

D. 8 m/s

Correct Answer: B

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Question 9 View Details

A parallel plate capacitor has a capaci\tance of 3 μF and a plate separation of 2 mm. If a potential difference of 10 V is applied across the plates, what is the electric field between them?

A. 500 V/m

Correct B. 1000 V/m

C. 2000 V/m

D. 5000 V/m

Correct Answer: B

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Question 10 View Details

A magnetic field of 2 T is applied to a current-carrying wire of length 1 m. If the current is 5 A, what is the force experienced by the wire?

A. 10 N

Correct B. 20 N

C. 30 N

D. 40 N

Correct Answer: B

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Question 11 View Details

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, calculate the capaci\tance.

Correct A. 0.02 F

B. 0.04 F

C. 0.06 F

D. 0.08 F

Correct Answer: A

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Question 12 View Details

A body of mass 2 kg is moving in a circular path of radius 3 m with a cons\tant speed of 4 m/s. Calculate the force acting on the body.

A. 10 N

B. 12 N

Correct C. 15 N

D. 20 N

Correct Answer: C

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Question 13 View Details

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.

A. 20°

Correct B. 25°

C. 30°

D. 35°

Correct Answer: B

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Question 14 View Details

A heat engine operates between the temperatures 300 K and 400 K. If the efficiency of the engine is 30%, calculate the work done per cycle.

A. 100 J

B. 200 J

Correct C. 300 J

D. 400 J

Correct Answer: C

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Question 15 View Details

A particle of mass 1 kg is moving in a straight line with a velocity of 5 m/s. If the particle is subjected to a force of 10 N, calculate the acceleration.

A. 1 m/s^2

B. 2 m/s^2

C. 5 m/s^2

Correct D. 10 m/s^2

Correct Answer: D

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Question 16 View Details

A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. The particle is subject to a centripetal force $F_c$ given by $F_c = \frac{mv^2}{r}$. If the particle's speed is doubled to $2v$, what is the new centripetal force $F_{c,new}$?

A. \frac{2mv^2}{r}

B. \frac{mv^2}{r}

Correct C. \frac{4mv^2}{r}

D. \frac{mv^2}{2r}

Correct Answer: C

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Question 17 View Details

A light ray passes from air into a glass slab of re\fractive index $\mu = 1.5$. If the angle of incidence is $30^\circ$, what is the angle of re\fraction $\theta_r$?

A. 18^\circ

Correct B. 20^\circ

C. 22^\circ

D. 25^\circ

Correct Answer: B

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Question 18 View Details

A block of mass $m$ is attached to a horizontal spring with spring cons\tant $k$. The block is displaced by a dis\tance $x$ from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, what is the maximum speed $v_{max}$ of the block?

Correct A. \sqrt{\frac{kx^2}{m}}

B. \frac{kx^2}{m}

C. \frac{2kx^2}{m}

D. \frac{3kx^2}{m}

Correct Answer: A

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Question 19 View Details

A point charge $q$ is placed at the center of a spherical shell of radius $R$. If a test charge $Q$ is brought near the shell, what is the electric potential $V$ at a dis\tance $r$ from the center of the shell?

Correct A. \frac{kqQ}{r}

B. \frac{kqQ}{R}

C. \frac{kqQ}{r-R}

D. \frac{kqQ}{r+R}

Correct Answer: A

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Question 20 View Details

A particle of mass $m$ is moving in a straight line with a velocity $v$. If the particle is subject to a force $F$ given by $F = kv$, where $k$ is a cons\tant, what is the acceleration $a$ of the particle?

Correct A. \frac{k}{m}v

B. \frac{k}{m}v^2

C. \frac{mv^2}{k}

D. \frac{kv^2}{m}

Correct Answer: A

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Question 21 View Details

A radioactive sample of Uranium-238 undergoes \alpha decay. If the initial mass of the sample is 100 g, and the mass of the \alpha particle is 4 u, what is the mass of the daughter nucleus after 10 half-lives?

A. 92 g

B. 96 g

Correct C. 98 g

D. 100 g

Correct Answer: C

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Question 22 View Details

A particle of mass 1 kg is moving in a circular path of radius 2 m with a speed of 4 m/s. If the particle is subject to a centripetal force of 10 N, what is the acceleration of the particle?

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 23 View Details

A capacitor of capaci\tance 10 μF is connected to a 12 V battery. If the battery is disconnected and the capacitor is connected to a 6 Ω resistor, what is the time cons\tant of the circuit?

A. 0.6 s

Correct B. 1.2 s

C. 1.8 s

D. 2.4 s

Correct Answer: B

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Question 24 View Details

A parallel plate capacitor has a capaci\tance of 20 μF. If the dis\tance between the plates is increased by a factor of 2, what is the new capaci\tance?

A. 10 μF

B. 20 μF

Correct C. 40 μF

D. 80 μF

Correct Answer: C

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Question 25 View Details

A 100 μC charge is moving at a speed of 2 m/s in a circular path of radius 1 m. If the charge is subject to a magnetic field of 0.5 T, what is the force on the charge?

A. 0.1 N

Correct B. 0.2 N

C. 0.3 N

D. 0.4 N

Correct Answer: B

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