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POST UTME UNIPORT 2025 Physics | Objective

Are you preparing for POST UTME UNIPORT exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2025 Physics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

A radioactive sample of uranium-238 undergoes \alpha decay, emitting an \alpha particle. If the initial mass of the uranium-238 nucleus is 238 u, what is the mass of the resulting thorium-234 nucleus?

Correct A. 234 u

B. 238 u

C. 242 u

D. 246 u

Correct Answer: A

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Question 2

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 centripetal acceleration?

A. 1 m/s^2

B. 2 m/s^2

Correct C. 4 m/s^2

D. 6 m/s^2

Correct Answer: C

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Question 3

A gas at a pressure of 2 atm and a temperature of 300 K is allowed to expand to a volume of 5 L. What is the final pressure of the gas?

A. 0.8 atm

Correct B. 1.2 atm

C. 1.5 atm

D. 2.5 atm

Correct Answer: B

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Question 4

A projectile is launched at an angle of 60° above the horizontal with an initial velocity of 20 m/s. 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 5

A wave has a frequency of 50 Hz and a wavelength of 2 m. What is the speed of the wave?

A. 10 m/s

B. 20 m/s

Correct C. 30 m/s

D. 40 m/s

Correct Answer: C

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Question 6

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 angular velocity of the particle?

A. 2 rad/s

Correct B. 4 rad/s

C. 6 rad/s

D. 8 rad/s

Correct Answer: B

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Question 7

A heat engine operates between two temperatures of 500 K and 300 K. If the engine has an efficiency of 30%, what is the temperature of the hot reservoir?

A. 400 K

B. 500 K

Correct C. 600 K

D. 700 K

Correct Answer: C

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Question 8

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

Correct B. 2 A

C. 3 A

D. 4 A

Correct Answer: B

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Question 9

A wave has a frequency of 20 Hz and a wavelength of 0.5 m. What is the speed of the wave?

A. 10 m/s

Correct B. 20 m/s

C. 30 m/s

D. 40 m/s

Correct Answer: B

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Question 10

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

A. 1.57 rad/s

Correct B. 3.14 rad/s

C. 4.71 rad/s

D. 6.28 rad/s

Correct Answer: B

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Question 11

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 8.0 x 10^-10 F, what is the charge on the plates when the potential difference between them is 100 V?

Correct A. 8.0 x 10^-8 C

B. 4.0 x 10^-8 C

C. 2.0 x 10^-8 C

D. 1.0 x 10^-8 C

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 speed of 4 m/s. What is the magnitude of the force acting on the particle?

A. 12 N

B. 24 N

Correct C. 48 N

D. 96 N

Correct Answer: C

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Question 13

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?

A. 1/2

Correct B. 2

C. -1/2

D. -2

Correct Answer: B

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Question 14

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

Correct A. 20°

B. 30°

C. 40°

D. 50°

Correct Answer: A

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Question 15

A particle of mass 1 kg is in a state of pure uncertainty, with a wave function given by \psi(x) = Ae^{-ikx}. What is the expectation value of the momentum?

A. 0

Correct B. \hbar k

C. -\hbar k

D. \hbar^2 k^2

Correct Answer: B

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Question 16

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

Correct A. 25 μC

B. 50 μC

C. 100 μC

D. 200 μC

Correct Answer: A

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Question 17

A gas at a pressure of 1.5 atm and a temperature of 300 K is compressed to a volume of 0.5 L. What is the final pressure of the gas?

A. 3 atm

B. 6 atm

Correct C. 9 atm

D. 12 atm

Correct Answer: C

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Question 18

A circuit consists of a 12 Ω resistor, a 20 Ω resistor, and a 30 Ω resistor connected in series. If a voltage of 24 V is applied across the circuit, what is the current flowing through the 20 Ω resistor?

A. 0.5 A

Correct B. 1 A

C. 2 A

D. 4 A

Correct Answer: B

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Question 19

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

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 20

A gas expands from an initial volume of 0.5 L to a final volume of 1.5 L. If the initial pressure is 2 atm and the final pressure is 1 atm, what is the work done by the gas?

A. 5 J

B. 10 J

Correct C. 15 J

D. 20 J

Correct Answer: C

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Question 21

A particle of mass $m$ and charge $q$ moves in a circular path of radius $R$ in a uniform magnetic field of strength $B$. If the particle's speed is $v$, what is the magnitude of the magnetic field?

Correct A. \frac{mv}{qR}

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

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

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

Correct Answer: A

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Question 22

A projectile is launched from the origin with an initial velocity of $v_0$ at an angle of $\theta$ above the horizontal. If the projectile lands at a dis\tance $x$ from the origin, what is the value of $\theta$?

Correct A. \frac{1}{2} \arc\sin \left$ \frac{x}{v_0^2} \right $

B. \frac{1}{2} \arc\cos \left$ \frac{x}{v_0^2} \right $

C. \frac{1}{2} \arc\tan \left$ \frac{x}{v_0^2} \right $

D. \frac{1}{2} \arccot \left$ \frac{x}{v_0^2} \right $

Correct Answer: A

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Question 23

A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. If the circuit is driven by a voltage source of amplitude $V_0$ and frequency $\omega$, what is the impedance of the circuit?

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

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

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

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

Correct Answer: A

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Question 24

A nucleus of mass number $A$ and atomic number $Z$ undergoes \beta decay, emitting a \beta particle of energy $E$. What is the kinetic energy of the recoiling nucleus?

A. E

B. 2E

Correct C. E + \frac{m_e c^2}{2}

D. E + m_e c^2

Correct Answer: C

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Question 25

A particle of mass $m$ and energy $E$ is incident on a potential barrier of height $V_0$. If the particle is transmitted with probability $T$, what is the value of $V_0$?

Correct A. \frac{E}{2} + \sqrt{E^2 - m^2 c^4}

B. \frac{E}{2} - \sqrt{E^2 - m^2 c^4}

C. \frac{E}{2} + \sqrt{m^2 c^4 - E^2}

D. \frac{E}{2} - \sqrt{m^2 c^4 - E^2}

Correct Answer: A

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