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POST UTME UI 2023 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 2023 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1

A particle of mass 2 kg is projected from the origin with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If the particle experiences a uniform gravitational acceleration of 9.8 m/s², find the time it takes for the particle to reach its maximum height.

A. 2 s

Correct B. 3 s

C. 4 s

D. 5 s

Correct Answer: B

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Question 2

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

A. 150 Ω

B. 200 Ω

Correct C. 250 Ω

D. 300 Ω

Correct Answer: C

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Question 3

A force of 10 N acts on an object of mass 5 kg. If the object is initially at rest, find the acceleration of the object.

A. 2 m/s²

Correct B. 4 m/s²

C. 6 m/s²

D. 8 m/s²

Correct Answer: B

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Question 4

A light ray passes through a prism with an angle of incidence of 30°. If the re\fractive index of the prism is 1.5, find the angle of re\fraction.

A. 20°

Correct B. 25°

C. 30°

D. 35°

Correct Answer: B

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Question 5

A 2 kg object is moving in a circular path with a radius of 3 m. If the object experiences a centripetal acceleration of 4 m/s², find the velocity of the object.

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 6

A gas at $25^circ$C and $1.0 \times 10^5$ Pa is heated to $50^circ$C at cons\tant volume. What is the ratio of the final pressure to the initial pressure?

A. 2

Correct B. 4

C. 1

D. 0.5

Correct Answer: B

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Question 7

A parallel circuit consists of two resistors, $R_1 = 10 Omega$ and $R_2 = 20 Omega$. If the total current is $2$ A, what is the current through $R_1$?

Correct A. 1

B. 0.5

C. 2

D. 4

Correct Answer: A

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Question 8

A convex lens of focal length $f = 20$ cm forms an image of an object at a dis\tance $u = 30$ cm. What is the magnification of the lens?

Correct A. -0.5

B. -1

C. 1

D. 2

Correct Answer: A

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Question 9

A radioactive sample decays from $100$ g to $50$ g in $10$ years. What is the half-life of the sample?

A. 5

Correct B. 10

C. 20

D. 30

Correct Answer: B

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Question 10

A \sinusoidal voltage source has a maximum voltage of $10$ V and a frequency of $50$ Hz. What is the rms voltage?

A. 5

Correct B. 7.07

C. 10

D. 14.14

Correct Answer: B

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Question 11

A radioactive sample emits \alpha particles with a half-life of 5 days. If the initial activity is 100 Bq, what is the activity after 15 days?

Correct A. 12.5 Bq

B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: A

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Question 12

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

A. 10 Ω

B. 12 Ω

Correct C. 16 Ω

D. 20 Ω

Correct Answer: C

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Question 13

A capacitor is charged to a potential difference of 12 V. If the capaci\tance is 2 μF, what is the energy stored in the capacitor?

Correct A. 0.144 J

B. 1.44 J

C. 14.4 J

D. 144 J

Correct Answer: A

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Question 14

A heat engine operates between a temperature of 500 K and 300 K. If the efficiency of the engine is 30%, what is the maximum possible work output?

A. 1000 J

B. 2000 J

Correct C. 3000 J

D. 4000 J

Correct Answer: C

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Question 15

A charged particle moves through a uniform magnetic field. If the particle has a charge of 2 μC and a velocity of 5 m/s, and the magnetic field has a strength of 0.5 T, what is the force experienced by the particle?

A. 0.01 N

Correct B. 0.1 N

C. 1 N

D. 10 N

Correct Answer: B

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Question 16

A uniform magnetic field of magnitude 2.0 T is directed along the z-axis. A current of 5.0 A flows in a circular loop of radius 0.20 m, placed in the x-y plane. What is the magnitude of the magnetic moment of the loop?

A. 0.10 A m^2

Correct B. 0.20 A m^2

C. 0.30 A m^2

D. 0.40 A m^2

Correct Answer: B

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Question 17

A particle of mass 2.0 kg is moving in a circular path of radius 1.5 m with a speed of 4.0 m/s. What is the magnitude of the 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 18

A simple harmonic motion has a maximum displacement of 2.0 m and a period of 4.0 s. What is the angular frequency of the motion?

A. 0.50 rad/s

Correct B. 1.0 rad/s

C. 1.5 rad/s

D. 2.0 rad/s

Correct Answer: B

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Question 19

A wave has a frequency of 50 Hz and a wavelength of 10 m. What is the speed of the wave?

A. 250 m/s

Correct B. 500 m/s

C. 750 m/s

D. 1000 m/s

Correct Answer: B

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Question 20

A quantum particle has a wave function given by ψ(x) = Ae^$ -αx^2 $. What is the probability density of the particle?

Correct A. A^2e^$ -2αx^2 $

B. A^2e^$ -αx^2 $

C. A^2e^$ αx^2 $

D. A^2e^$ -2αx^4 $

Correct Answer: A

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Question 21

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 magnitude of the acceleration of the particle?

A. 4 m/s^2

Correct B. 6 m/s^2

C. 8 m/s^2

D. 10 m/s^2

Correct Answer: B

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Question 22

A wave has a frequency of 50 Hz and a wavelength of 0.2 m. If the wave is traveling in the positive x-direction, what is the direction of the particle velocity?

Correct A. in the positive x-direction

B. in the negative x-direction

C. perp\endicular to the wave

D. in the positive y-direction

Correct Answer: A

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Question 23

A magnetic field is produced by a current-carrying wire. If the current is 2 A and the wire is 0.5 m long, what is the magnitude of the magnetic field at a dis\tance of 0.2 m from the wire?

Correct A. 2 x 10^-5 T

B. 4 x 10^-5 T

C. 6 x 10^-5 T

D. 8 x 10^-5 T

Correct Answer: A

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Question 24

A quantum particle has a wave function given by \psi(x) = Ae^{-\alpha x^2}. If the particle is in a box of length 1 m, what is the probability of finding the particle in the region 0.5 m < x < 0.6 m?

Correct A. \frac{A^2}{2\alpha} $ e^{-\alpha \( 0.5 \ $^2} - e^{-\alpha (0.6)^2})

B. \frac{A^2}{2\alpha} $ e^{-\alpha \( 0.6 \ $^2} - e^{-\alpha (0.5)^2})

C. \frac{A^2}{2\alpha} $ e^{-\alpha \( 0.5 \ $^2} + e^{-\alpha (0.6)^2})

D. \frac{A^2}{2\alpha} $ e^{-\alpha \( 0.6 \ $^2} + e^{-\alpha (0.5)^2})

Correct Answer: A

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Question 25

A measurement of the speed of light is made u\sing a laser and a mirror. If the dis\tance between the laser and the mirror is 1 m and the time taken for the light to travel from the laser to the mirror is 2 x 10^-8 s, what is the speed of light?

A. 3 x 10^8 m/s

Correct B. 5 x 10^7 m/s

C. 1 x 10^6 m/s

D. 2 x 10^5 m/s

Correct Answer: B

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