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POST UTME UNIPORT 2022 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 2022 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1

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. Calculate the magnitude of the force acting on the particle u\sing the equation F = $ m * v^2 $ / r.

A. 8 N

B. 12 N

Correct C. 16 N

D. 20 N

Correct Answer: C

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Question 2

A capacitor consists of two parallel plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 m. The dielectric cons\tant of the material between the plates is 2. Calculate the capaci\tance of the capacitor.

A. 1.6 x 10^-10 F

Correct B. 1.6 x 10^-9 F

C. 1.6 x 10^-8 F

D. 1.6 x 10^-7 F

Correct Answer: B

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Question 3

A current of 2 A flows through a resistor of 4 ohms. Calculate the power dissipated by the resistor u\sing the equation P = I^2 * R.

A. 8 W

B. 12 W

Correct C. 16 W

D. 20 W

Correct Answer: C

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Question 4

A gas occupies a volume of 2 m^3 at a pressure of 1 atm. Calculate the temperature of the gas u\sing the ideal gas law PV = nRT.

A. 300 K

B. 400 K

Correct C. 500 K

D. 600 K

Correct Answer: C

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Question 5

A magnetic field of 0.5 T is applied to a coil of 100 turns and a radius of 0.1 m. Calculate the torque experienced by the coil u\sing the equation τ = n * I * B * A.

A. 0.1 Nm

B. 0.2 Nm

Correct C. 0.3 Nm

D. 0.4 Nm

Correct Answer: C

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Question 6

A particle of mass $m$ is moving in a circular orbit of radius $r$ about a fixed point $O$. The particle's velocity is $v$ and its angular velocity is $omega$. If the particle's kinetic energy is $K$, find the magnitude of the torque acting on the particle about $O$.

A. mvr

B. 2mvr

Correct C. mvr\sin\theta

D. 2mvr\sin\theta

Correct Answer: C

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Question 7

A wave of frequency $f$ and wavelength $\lambda$ is traveling through a medium with speed $v$. If the wave's amplitude is $A$ and its phase angle is $\phi$, find the wave's intensity.

Correct A. \frac{1}{2}\rho\omega^2A^2\lambda

B. \frac{1}{2}\rho\omega^2A^2\lambda^2

C. \frac{1}{2}\rho\omega^2A^2\lambda^3

D. \frac{1}{2}\rho\omega^2A^2\lambda^4

Correct Answer: A

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Question 8

A radioactive sample has a half-life of $T_{1/2}$. If the sample's initial activity is $A_0$ and its decay cons\tant is $\lambda$, find the sample's activity at time $t$.

Correct A. A_0e^{-\lambda t}

B. A_0e^{\lambda t}

C. A_0e^{-\lambda t^2}

D. A_0e^{\lambda t^2}

Correct Answer: A

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Question 9

A particle of mass $m$ is confined to a one-dimensional box of length $L$. If the particle's wave function is $\psi(x)$ and its energy is $E$, find the particle's momentum.

Correct A. \frac{\sqrt{2mE}}{L}

B. \frac{2mE}{L}

C. \frac{mE}{L}

D. \frac{E}{mL}

Correct Answer: A

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Question 10

A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. If the circuit's impedance is $Z$ and its phase angle is $\phi$, find the circuit's power factor.

Correct A. \cos\phi

B. \sin\phi

C. \tan\phi

D. \cot\phi

Correct Answer: A

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Question 11

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. 10 m/s^2

Correct B. 12 m/s^2

C. 15 m/s^2

D. 20 m/s^2

Correct Answer: B

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Question 12

A light ray passes from air into a glass slab of re\fractive index 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 13

A particle of mass 1 kg is moving in a straight line with an initial velocity of 5 m/s. If it experiences a cons\tant acceleration of 2 m/s^2, what is its velocity after 3 seconds?

A. 7 m/s

B. 9 m/s

Correct C. 11 m/s

D. 13 m/s

Correct Answer: C

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Question 14

A light source is placed 2 m away from a convex lens of focal length 0.5 m. If the image formed is real and inverted, what is the magnification of the lens?

A. -2

Correct B. -1

C. 1

D. 2

Correct Answer: B

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Question 15

A particle of mass 3 kg is moving in a circular path of radius 4 m with a cons\tant speed of 6 m/s. If the particle is subjected to a centripetal force of 18 N, what is the magnitude of the acceleration of the particle?

A. 12 m/s^2

B. 15 m/s^2

Correct C. 18 m/s^2

D. 20 m/s^2

Correct Answer: C

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Question 16

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 acceleration of 2 m/s^2, what is the magnitude of the force acting on the particle?

A. 8 N

B. 10 N

Correct C. 12 N

D. 16 N

Correct Answer: C

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Question 17

A 100 μF capacitor is connected in series with a 200 Ω resistor and a 10 V battery. If the switch is closed at t = 0, what is the time cons\tant of the circuit?

A. 0.1 s

Correct B. 0.2 s

C. 0.5 s

D. 1 s

Correct Answer: B

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Question 18

A beam of light is incident on a prism at an angle of 30°. If the re\fractive index of the prism is 1.5, what is the angle of re\fraction?

A. 20°

B. 30°

Correct C. 40°

D. 50°

Correct Answer: C

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Question 19

A gas is heated from 20°C to 50°C. If the initial pressure is 1 atm, what is the final pressure?

A. 1.5 atm

B. 2 atm

Correct C. 3 atm

D. 4 atm

Correct Answer: C

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Question 20

A particle is moving in a simple harmonic motion with a frequency of 2 Hz. If the amplitude is 5 m, what is the maximum velocity?

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 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 net force acting on the particle?

A. 16 N

B. 20 N

Correct C. 24 N

D. 28 N

Correct Answer: C

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Question 22

A parallel plate capacitor has a capaci\tance of 5 μF and is charged to a potential difference of 10 V. If the dis\tance between the plates is doubled, what is the new capaci\tance?

Correct A. 2.5 μF

B. 5 μF

C. 10 μF

D. 20 μF

Correct Answer: A

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Question 23

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

A. 5 years

Correct B. 10 years

C. 15 years

D. 20 years

Correct Answer: B

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Question 24

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 magnitude of the force exerted on the wire?

A. 10 N

B. 20 N

Correct C. 30 N

D. 40 N

Correct Answer: C

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Question 25

A sound wave has a frequency of 200 Hz and a wavelength of 0.5 m. What is the speed of the sound wave?

A. 100 m/s

Correct B. 200 m/s

C. 300 m/s

D. 400 m/s

Correct Answer: B

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