Practice Post UTME ACHIEVERS UNIVERSITY physics 2019 Past Questions

Question 1

A particle of mass 0.2 kg is moving in a circular path of radius 0.5 m with a cons\tant speed of 2 m/s. If the particle experiences a centripetal acceleration of 4 m/s^2, what is the magnitude of the net force acting on the particle?

A. 0.8 N

Correct B. 1.6 N

C. 2.4 N

D. 3.2 N

Correct Answer: B

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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. What is the current flowing through the circuit?

A. 1 A

B. 2 A

Correct C. 3 A

D. 4 A

Correct Answer: C

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Question 3

A gas occupies a volume of 2.5 L at a pressure of 1.5 atm. What is the pressure of the gas if its volume is increased to 5 L?

A. 0.6 atm

Correct B. 1.2 atm

C. 1.8 atm

D. 2.4 atm

Correct Answer: B

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Question 4

A spring with a spring cons\tant of 100 N/m is stretched by 0.2 m. What is the force exerted by the spring?

A. 20 N

B. 40 N

Correct C. 60 N

D. 80 N

Correct Answer: C

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Question 5

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. What is the maximum height reached by the projectile?

A. 10 m

B. 15 m

Correct C. 20 m

D. 25 m

Correct Answer: C

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Question 6

A uniform solid sphere of radius $R$ and mass $M$ is placed at the bottom of a frictionless inclined plane. If the angle of inclination is $\theta$, what is the minimum force $F$ required to keep the sphere moving up the plane with a cons\tant velocity?

Correct A. \frac{Mg\sin\theta}{\cos\theta}

B. \frac{Mg\cos\theta}{\sin\theta}

C. \frac{Mg\sin\theta}{\cos\theta} + Mg

D. \frac{Mg\cos\theta}{\sin\theta} + Mg

Correct Answer: A

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Question 7

A parallel plate capacitor has a capaci\tance of $C$ and is connected to a battery of emf $\epsilon$. If the dis\tance between the plates is increased by a factor of $n$, what is the new capaci\tance?

Correct A. \frac{C}{n}

B. nC

C. \frac{nC}{\epsilon}

D. C + \frac{C}{n}

Correct Answer: A

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Question 8

A ray of light passes from air into a glass slab of re\fractive index $\mu$. If the angle of incidence is $\theta_i$ and the angle of re\fraction is $\theta_r$, what is the relationship between $\theta_i$ and $\theta_r$?

Correct A. \frac{\sin\theta_i}{\sin\theta_r} = \mu

B. \frac{\sin\theta_r}{\sin\theta_i} = \mu

C. \frac{\cos\theta_i}{\cos\theta_r} = \mu

D. \frac{\cos\theta_r}{\cos\theta_i} = \mu

Correct Answer: A

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Question 9

A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. If the particle is subject to a centripetal force $F_c$, what is the relationship between $F_c$ and $v$?

Correct A. F_c = \frac{mv^2}{r}

B. F_c = \frac{mr^2}{v}

C. F_c = \frac{v^2}{r}

D. F_c = \frac{r^2}{v}

Correct Answer: A

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Question 10

A simple harmonic motion has a period $T$ and an amplitude $A$. If the angular frequency is $\omega$, what is the relationship between $\omega$ and $T$?

Correct A. \omega = \frac{2\pi}{T}

B. \omega = \frac{T}{2\pi}

C. \omega = \frac{A}{T}

D. \omega = \frac{T}{A}

Correct Answer: A

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Question 11

A block of mass 5 kg is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the maximum speed of the block.

A. 2 m/s

B. 4 m/s

Correct C. 6 m/s

D. 8 m/s

Correct Answer: C

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Question 12

A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 20 V. If a dielectric slab of thickness 0.5 mm and dielectric cons\tant 3 is inserted between the plates, calculate the new capaci\tance.

A. 30 μF

B. 40 μF

Correct C. 50 μF

D. 60 μF

Correct Answer: C

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Question 13

A current of 2 A flows through a resistor of 10 Ω. If the voltage across the resistor is 20 V, calculate the power dissipated.

Correct A. 40 W

B. 60 W

C. 80 W

D. 100 W

Correct Answer: A

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Question 14

A 10 μF capacitor is charged to a potential difference of 50 V. If it is connected in parallel with a 20 μF capacitor, calculate the equivalent capaci\tance.

A. 30 μF

B. 40 μF

Correct C. 50 μF

D. 60 μF

Correct Answer: C

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Question 15

A 5 Ω resistor is connected in series with a 10 Ω resistor. If a current of 2 A flows through the circuit, calculate the voltage across the 5 Ω resistor.

A. 10 V

Correct B. 20 V

C. 30 V

D. 40 V

Correct Answer: B

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Question 16

A 10 μF capacitor is charged to a potential difference of 20 V. If it is connected in series with a 20 Ω resistor, calculate the time cons\tant.

A. 0.4 s

B. 0.8 s

Correct C. 1.2 s

D. 1.6 s

Correct Answer: C

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Question 17

A 5 Ω resistor is connected in parallel with a 10 Ω resistor. If a current of 2 A flows through the circuit, calculate the equivalent resis\tance.

A. 2.5 Ω

B. 3.5 Ω

Correct C. 4.5 Ω

D. 5.5 Ω

Correct Answer: C

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Question 18

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 angle between the velocity vector and the radius vector at the ins\tant when the particle is at the top of its path?

A. 30°

B. 45°

Correct C. 60°

D. 90°

Correct Answer: C

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Question 19

A magnetic field of strength 0.5 T is directed along the positive z-axis. A current of 2 A flows in a wire loop of radius 0.2 m. What is the magnitude of the magnetic moment of the loop?

A. 0.1 A m^2

Correct B. 0.2 A m^2

C. 0.3 A m^2

D. 0.4 A m^2

Correct Answer: B

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Question 20

A block of mass 5 kg is attached to a spring with a spring cons\tant of 200 N/m. 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. 1.5 m/s

B. 2.0 m/s

Correct C. 2.5 m/s

D. 3.0 m/s

Correct Answer: C

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Question 21

A \tank of height 10 m contains water to a depth of 8 m. What is the pressure at the bottom of the \tank?

A. 8000 Pa

B. 10000 Pa

Correct C. 12000 Pa

D. 14000 Pa

Correct Answer: C

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Question 22

A wire of length 2 m is stretched between two fixed points. If the wire is stretched by 0.1 m, what is the increase in its length?

A. 0.05 m

Correct B. 0.1 m

C. 0.15 m

D. 0.2 m

Correct Answer: B

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Question 23

A body of mass 3 kg is moving in a straight line with a velocity of 5 m/s. If the body is subjected to a force of 10 N, what is its acceleration?

A. 1.67 m/s^2

B. 2.0 m/s^2

Correct C. 2.5 m/s^2

D. 3.0 m/s^2

Correct Answer: C

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Question 24

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 angle between the velocity vector and the radius vector at the ins\tant when the particle is at the bottom of its path?

A. 30°

B. 45°

C. 60°

Correct D. 90°

Correct Answer: D

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Question 25

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 best describes 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 becomes negative.

Correct Answer: B

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