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POST UTME UI 2019 Physics | Objective

Are you preparing for POST UTME UI exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2019 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1

A radioactive sample of Δₗ emits Δₗπ particles. If the half-life of Δₗ is 5.27 × 10¹ years, how many years will it take for the activity of the sample to decrease to 1/64 of its original value?

Correct A. 1.38 × 10¹ years

B. 2.75 × 10¹ years

C. 5.27 × 10¹ years

D. 10.54 × 10¹ years

Correct Answer: A

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Question 2

A parallel plate capacitor has a capaci\tance of 5 µF. If a potential difference of 10 V is applied across the plates, what is the charge stored on each plate?

A. 50 µC

B. 50 µF

Correct C. 50 µmF

D. 50 µC

Correct Answer: C

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Question 3

A particle of mass 2 kg is moving in a circular path of radius 3 m with a speed of 4 m/s. What is the magnitude of the 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 4

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

Correct A. -0.5

B. -1

C. -1.5

D. -2

Correct Answer: A

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Question 5

A magnetic field of magnitude 0.5 T is directed along the positive z-axis. What is the direction of the magnetic field at a point 2 m away from the origin in the x-y plane?

A. Along the positive x-axis

Correct B. Along the negative x-axis

C. Along the positive y-axis

D. Along the negative y-axis

Correct Answer: B

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Question 6

A particle of mass 0.5 kg is attached to a spring with a spring cons\tant of 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 maximum speed of the particle.

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 7

A block of mass 2 kg is placed on a frictionless surface and attached to a horizontal spring with a spring cons\tant of 200 N/m. The block is displaced by 0.1 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the period of the motion.

A. 1 s

Correct B. 2 s

C. 3 s

D. 4 s

Correct Answer: B

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Question 8

A particle of mass 1 kg is moving in a circular path with a radius of 0.5 m. The particle is moving at a speed of 4 m/s. Calculate the centripetal 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 9

A block of mass 3 kg is placed on a frictionless surface and attached to a horizontal spring with a spring cons\tant of 300 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 kinetic energy of the block.

A. 1 J

B. 2 J

Correct C. 3 J

D. 4 J

Correct Answer: C

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Question 10

A particle of mass 0.5 kg is attached to a spring with a spring cons\tant of 100 N/m. It is displaced by 0.1 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the potential energy of the particle at the equilibrium position.

A. 0.5 J

Correct B. 1 J

C. 1.5 J

D. 2 J

Correct Answer: B

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Question 11

A parallel plate capacitor has a capaci\tance of 2.5 μF. If a potential difference of 10 V is applied across it, what is the charge stored on each plate?

A. 25 μC

Correct B. 50 μC

C. 100 μC

D. 200 μC

Correct Answer: B

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Question 12

A current of 5 A flows through a resistor of 10 Ω. What is the power dissipated in the resistor?

Correct A. 50 W

B. 100 W

C. 200 W

D. 500 W

Correct Answer: A

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Question 13

A particle moves in a straight line with an initial velocity of 10 m/s and a cons\tant acceleration of 2 m/s². What is its velocity after 5 s?

A. 20 m/s

B. 25 m/s

Correct C. 30 m/s

D. 35 m/s

Correct Answer: C

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Question 14

A gas occupies a volume of 2 L at a pressure of 1 atm. If the temperature is increased to 300 K, what is the new volume?

A. 4 L

Correct B. 6 L

C. 8 L

D. 10 L

Correct Answer: B

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Question 15

A radioactive sample decays with a half-life of 10 years. If the initial activity is 100 Bq, what is the activity 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 16

A particle of mass $m$ is attached to a spring with spring cons\tant $k$. If the particle is displaced from its equilibrium position by a dis\tance $x$ and released from rest, it will undergo simple harmonic motion with angular frequency $omega$. Which of the following expressions for $omega$ is correct?

A. \omega = \frac{k}{m}

B. \omega = \sqrt{\frac{m}{k}}

C. \omega = \frac{m}{k}

Correct D. \omega = \sqrt{\frac{k}{m}}

Correct Answer: D

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Question 17

A light ray passes from air into a glass of re\fractive index $\mu$. If the angle of incidence is $\theta_i$ and the angle of re\fraction is $\theta_r$, which of the following equations is correct?

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

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

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

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

Correct Answer: B

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Question 18

A gas of $N$ molecules is enclosed in a container of volume $V$. If the temperature of the gas is $T$ and the pressure is $P$, which of the following equations is correct?

Correct A. PV = NkT

B. PV = NkT^2

C. PV = NkT^3

D. PV = NkT^4

Correct Answer: A

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Question 19

A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. If the frequency of the alternating current is $f$, which of the following expressions for the impedance $Z$ is correct?

Correct A. Z = \sqrt{R^2 + $ \omega L - \frac{1}{\omega C} $^2}

B. Z = \sqrt{R^2 + $ \omega L + \frac{1}{\omega C} $^2}

C. Z = \sqrt{R^2 + $ \omega L - \frac{1}{\omega C} $}

D. Z = \sqrt{R^2 + $ \omega L + \frac{1}{\omega C} $}

Correct Answer: A

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Question 20

A beam of light passes through a prism of re\fracting angle $\theta$. If the angle of incidence is $\theta_i$ and the angle of emergence is $\theta_e$, which of the following equations is correct?

Correct A. \theta_e = \theta_i + \theta

B. \theta_e = \theta_i - \theta

C. \theta_e = \theta_i + \frac{\theta}{2}

D. \theta_e = \theta_i - \frac{\theta}{2}

Correct Answer: A

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Question 21

A radioactive sample of 238U undergoes \alpha decay to form 234Th. If the initial mass of the sample is 100g, what is the mass of the daughter nucleus after 3 half-lives?

Correct A. 12.5g

B. 25g

C. 50g

D. 75g

Correct Answer: A

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Question 22

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

A. 10Ω

B. 12Ω

Correct C. 14Ω

D. 16Ω

Correct Answer: C

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Question 23

A particle of mass 2kg is moving in a circular path of radius 3m with a speed of 4m/s. What is the centripetal force acting on the particle?

A. 16N

B. 20N

Correct C. 24N

D. 28N

Correct Answer: C

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Question 24

A light wave of wavelength 600nm is incident on a double-slit apparatus. If the dis\tance between the slits is 0.5mm, what is the angle of the first minimum?

A. 0.5°

Correct B. 1°

C. 2°

D. 5°

Correct Answer: B

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Question 25

A 100Ω resistor is connected in parallel to a 200Ω resistor. What is the total resis\tance in the circuit?

A. 50Ω

Correct B. 66.7Ω

C. 100Ω

D. 200Ω

Correct Answer: B

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