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POST UTME UNIOSUN 2020 Physics | Objective

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Question 1

A block of mass 5 kg is susp\ended from a spring with spring cons\tant 200 N/m. The block is displaced by 0.1 m from its equilibrium position and released from rest. What is the maximum speed of the block as it passes through its equilibrium position?

A. \sqrt{2} m/s

Correct B. \sqrt{10} m/s

C. \sqrt{20} m/s

D. \sqrt{50} m/s

Correct Answer: B

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Question 2

A sound wave with frequency 200 Hz and amplitude 0.05 m is traveling through a medium with speed 340 m/s. What is the intensity of the sound wave?

A. 10^{-4} W/m^2

B. 10^{-3} W/m^2

Correct C. 10^{-2} W/m^2

D. 10^{-1} W/m^2

Correct Answer: C

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Question 3

A circuit consists of a 12 V battery, a 4 Ω resistor, and an inductor with induc\tance 0.1 H. The circuit is connected to a switch that is closed at time t = 0. What is the current in the circuit at time t = 2 s?

A. 2 A

Correct B. 4 A

C. 6 A

D. 8 A

Correct Answer: B

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Question 4

A gas expands from an initial volume of 0.1 m^3 to a final volume of 0.5 m^3 against an external pressure of 10^5 Pa. What is the work done by the gas?

A. 500 J

Correct B. 1000 J

C. 2000 J

D. 5000 J

Correct Answer: B

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Question 5

A particle of mass 1 kg is moving in a circular orbit with radius 0.5 m and angular velocity 2 rad/s. What is the centripetal force acting on the particle?

A. 2 N

Correct B. 4 N

C. 6 N

D. 8 N

Correct Answer: B

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Question 6

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, calculate the charge stored when the potential difference between the plates is 100 V.

A. 2.0 x 10^-7 C

Correct B. 4.0 x 10^-7 C

C. 6.0 x 10^-7 C

D. 8.0 x 10^-7 C

Correct Answer: B

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Question 7

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

A. 20°

B. 30°

Correct C. 40°

D. 50°

Correct Answer: C

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Question 8

A particle of mass 2 kg is moving in a circular path of radius 3 m with a speed of 4 m/s. Calculate the centripetal 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 9

A gas is heated from 300 K to 400 K at cons\tant volume. Calculate the change in internal energy.

A. 100 J

Correct B. 200 J

C. 300 J

D. 400 J

Correct Answer: B

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Question 10

A block of mass 5 kg is attached to a horizontal spring of force cons\tant 100 N/m. If the block is displaced by 2 m from its equilibrium position and released, calculate the maximum speed of the block.

A. 2 m/s

Correct B. 4 m/s

C. 6 m/s

D. 8 m/s

Correct Answer: B

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Question 11

A cylindrical \tank of radius 5 m and height 10 m is filled with water. If the density of water is 1000 kg/m³, calculate the pressure at the bottom of the \tank.

A. 5000 Pa

B. 10000 Pa

Correct C. 15000 Pa

D. 20000 Pa

Correct Answer: C

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Question 12

A 100 V AC source is connected to a 50 Ω resistor. If the current is 2 A, calculate the power consumed by the resistor.

Correct A. 200 W

B. 400 W

C. 600 W

D. 800 W

Correct Answer: A

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Question 13

A parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 50 V is applied across it, calculate the charge stored on the plates.

A. 0.5 C

Correct B. 1 C

C. 1.5 C

D. 2 C

Correct Answer: B

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Question 14

A magnetic field of 0.5 T is directed perp\endicular to a current of 2 A. If the length of the conductor is 1 m, calculate the force experienced by the conductor.

A. 0.1 N

Correct B. 0.2 N

C. 0.3 N

D. 0.4 N

Correct Answer: B

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Question 15

A heat engine operates between a temperature of 500 K and 300 K. If the efficiency of the engine is 30%, calculate the work done by the engine.

A. 1000 J

B. 2000 J

Correct C. 3000 J

D. 4000 J

Correct Answer: C

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Question 16

A uniform magnetic field of strength 2.0 T is directed along the z-axis. A current of 5.0 A flows through a straight wire of length 0.5 m, placed along the x-axis. What is the magnitude of the magnetic force on the wire?

A. 0.1 N

B. 0.2 N

Correct C. 0.5 N

D. 1.0 N

Correct Answer: C

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Question 17

A parallel plate capacitor has a capaci\tance of 10 μF. It is connected to a 12 V battery. What is the charge stored on the capacitor?

A. 120 μC

Correct B. 240 μC

C. 360 μC

D. 480 μC

Correct Answer: B

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Question 18

A gas at 300 K has a volume of 2.0 L. If the temperature is increased to 400 K, what is the new volume of the gas?

A. 2.5 L

B. 3.0 L

Correct C. 3.5 L

D. 4.0 L

Correct Answer: C

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Question 19

A 50 Hz AC voltage is applied across a 100 Ω resistor. What is the rms value of the current flowing through the resistor?

A. 0.5 A

Correct B. 1.0 A

C. 1.5 A

D. 2.0 A

Correct Answer: B

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Question 20

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

A. 0.1 s

Correct B. 0.2 s

C. 0.5 s

D. 1.0 s

Correct Answer: B

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Question 21

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

Correct A. \frac{A}{C}

B. \frac{C}{A}

C. \frac{A}{C^2}

D. \frac{C^2}{A}

Correct Answer: A

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Question 22

A particle of mass $m$ is moving in a circular orbit of radius $r$ with speed $v$. If the particle is subject to a centripetal force $F_c$, what is the value of $F_c$ in terms of $m$, $r$, and $v$?

Correct A. \frac{mv^2}{r}

B. \frac{mv}{r}

C. \frac{m}{rv^2}

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

Correct Answer: A

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Question 23

A wave has a frequency of $f$ and a wavelength of $\lambda$. If the wave is traveling through a medium with speed $v$, what is the value of $v$ in terms of $f$ and $\lambda$?

Correct A. f\lambda

B. \frac{f\lambda}{2}

C. \frac{2f\lambda}{1}

D. \frac{f\lambda}{4}

Correct Answer: A

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Question 24

A radioactive sample has an initial activity of $A_0$ and a half-life of $t_{1/2}$. If the sample decays for a time $t$, what is the value of the activity $A$ in terms of $A_0$, $t_{1/2}$, and $t$?

Correct A. A_0\left$ \frac{1}{2}\right $^{t/t_{1/2}}

B. A_0\left$ \frac{1}{2}\right $^{t_{1/2}/t}

C. A_0\left$ \frac{1}{2}\right $^{t/t_{1/2}}+A_0

D. A_0\left$ \frac{1}{2}\right $^{t/t_{1/2}}-A_0

Correct Answer: A

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Question 25

A simple harmonic motion has an amplitude of $A$ and a frequency of $f$. If the motion is damped by a force proportional to the velocity, what is the value of the damping coefficient $b$ in terms of $A$, $f$, and the angular frequency $\omega$?

Correct A. \frac{\omega^2A}{f}

B. \frac{fA}{\omega^2}

C. \frac{\omega^2A}{f^2}

D. \frac{f^2A}{\omega^2}

Correct Answer: A

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