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POST UTME UNIPORT 2020 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 2020 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1

A parallel plate capacitor has plates of area $A$ and separation $d$. If the capaci\tance is $C$, what is the value of the dielectric cons\tant?

Correct A. \frac{Cd}{\epsilon_0A}

B. \frac{\epsilon_0A}{Cd}

C. \frac{Cd}{\epsilon_0}

D. \frac{\epsilon_0}{Cd}

Correct Answer: A

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Question 2

A light ray 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 value of $\mu$?

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

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

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

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

Correct Answer: A

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Question 3

A magnetic field is produced by a current-carrying wire. If the current is $I$ and the length of the wire is $L$, what is the value of the magnetic field at a dis\tance $r$ from the wire?

Correct A. \frac{\mu_0 I}{2\pi r}

B. \frac{2\pi r \mu_0 I}{L}

C. \frac{L \mu_0 I}{2\pi r}

D. \frac{2\pi r}{L \mu_0 I}

Correct Answer: A

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Question 4

A simple harmonic motion has an angular frequency $\omega$ and an amplitude $A$. If the time period is $T$, what is the value of $\omega$?

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

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

C. \frac{2\pi A}{T}

D. \frac{T}{2\pi A}

Correct Answer: A

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Question 5

A gas is heated from $T_1$ to $T_2$. If the initial volume is $V_1$ and the final volume is $V_2$, what is the value of the ratio $\frac{V_2}{V_1}$?

Correct A. \frac{T_2}{T_1}

B. \frac{T_1}{T_2}

C. \frac{V_2}{V_1}

D. \frac{V_1}{V_2}

Correct Answer: A

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Question 6

A 1000 kg car is moving at a speed of 25 m/s on a horizontal road. If the coefficient of kinetic friction between the car and the road is 0.5, what is the force of friction acting on the car?

A. 500 N

Correct B. 750 N

C. 1000 N

D. 1250 N

Correct Answer: B

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Question 7

A 200 V, 50 Hz AC supply is connected to a 100 Ω resistor. What is the rms value of the current flowing through the resistor?

A. 2 A

Correct B. 4 A

C. 6 A

D. 8 A

Correct Answer: B

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Question 8

A block of mass 5 kg is attached to a horizontal spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position and released, what is 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 9

A 10 μF capacitor is connected in series with a 20 Ω resistor and a 100 V DC source. What is the time cons\tant of the circuit?

A. 0.5 s

Correct B. 1 s

C. 2 s

D. 5 s

Correct Answer: B

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Question 10

A 1000 W heater is connected to a 200 V AC supply. What is the power factor of the heater?

A. 0.5

B. 0.7

C. 0.9

Correct D. 1

Correct Answer: D

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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 force?

A. 10 N

Correct B. 12 N

C. 15 N

D. 20 N

Correct Answer: B

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Question 12

A capacitor consists of two parallel plates, each of area 0.04 m^2, separated by a dis\tance of 0.002 m. If the capaci\tance is 8 x 10^-6 F, what is the charge stored on the capacitor when a potential difference of 12 V is applied?

A. 96 μC

Correct B. 192 μC

C. 288 μC

D. 384 μC

Correct Answer: B

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Question 13

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?

Correct A. 18°

B. 20°

C. 22°

D. 24°

Correct Answer: A

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Question 14

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. 1.5 A

Correct B. 2 A

C. 2.5 A

D. 3 A

Correct Answer: B

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Question 15

A wave has a frequency of 50 Hz and a wavelength of 0.02 m. What is the speed of the 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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Question 16

A particle of mass $m$ is moving in a circular orbit 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{m^2v}{qr}

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

Correct Answer: A

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Question 17

A wave of frequency $f$ and wavelength $\lambda$ is traveling through a medium with speed $v$. If the wave is reflected off a surface, what is the frequency of the reflected wave?

Correct A. f

B. 2f

C. \frac{v}{\lambda}

D. \frac{\lambda}{v}

Correct Answer: A

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Question 18

A gas is contained in a cylinder of volume $V$ and is heated from temperature $T_1$ to $T_2$. If the gas is ideal and the process is adiabatic, what is the final pressure of the gas?

Correct A. P_2 = P_1 \left$ \frac{T_2}{T_1}\right $^{\gamma}

B. P_2 = P_1 \left$ \frac{T_2}{T_1}\right $^{\frac{1}{\gamma}}

C. P_2 = P_1 \left$ \frac{T_2}{T_1}\right $^{\frac{\gamma}{\gamma-1}}

D. P_2 = P_1 \left$ \frac{T_2}{T_1}\right $^{\frac{1}{\gamma-1}}

Correct Answer: A

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Question 19

A charged particle of mass $m$ and charge $q$ is moving in a magnetic field of strength $B$ with speed $v$. If the particle is moving in a circular orbit, what is the radius of the orbit?

Correct A. r = \frac{mv}{qB}

B. r = \frac{qB}{mv}

C. r = \frac{m^2v}{q^2B}

D. r = \frac{q^2B}{m^2v}

Correct Answer: A

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Question 20

A wave of frequency $f$ and wavelength $\lambda$ is traveling through a medium with speed $v$. If the wave is reflected off a surface, what is the wavelength of the reflected wave?

Correct A. \lambda

B. 2\lambda

C. \frac{v}{f}

D. \frac{f}{v}

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. 2 m/s^2

B. 4 m/s^2

Correct C. 6 m/s^2

D. 8 m/s^2

Correct Answer: C

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Question 22

A capacitor consists of two parallel plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 m. If the capaci\tance of the capacitor is 10^-6 F, what is the charge stored on the capacitor when a potential difference of 10 V is applied across it?

Correct A. 10^-5 C

B. 10^-4 C

C. 10^-3 C

D. 10^-2 C

Correct Answer: A

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Question 23

A wave of frequency 50 Hz and wavelength 10 m is traveling through a medium. If the wave has a speed of 300 m/s, what is the amplitude of the wave?

A. 0.1 m

Correct B. 0.2 m

C. 0.3 m

D. 0.4 m

Correct Answer: B

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Question 24

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If the projectile lands 10 m away from the point of launch, what is the time of flight of the projectile?

A. 1 s

B. 2 s

Correct C. 3 s

D. 4 s

Correct Answer: C

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Question 25

A resistor of 10 Ω is connected in series with a capacitor of 10^-6 F and an inductor of 10^-2 H. If an alternating current of frequency 50 Hz is applied across the circuit, what is the impedance of the circuit?

A. 10 Ω

B. 20 Ω

Correct C. 30 Ω

D. 40 Ω

Correct Answer: C

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