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POST UTME AFE BABALOLA UNIVERSITY 2020 Physics | Objective

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Question 1 View Details

A parallel beam of light is incident on a glass slab of thickness 5 cm and re\fractive index 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.

Correct A. 20°

B. 30°

C. 40°

D. 50°

Correct Answer: A

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Question 2 View Details

A 2 kg block is moving with a velocity of 4 m/s on a frictionless surface. If a force of 10 N is applied to the block, calculate the acceleration of the block.

A. 0.5 m/s^2

B. 1 m/s^2

C. 2 m/s^2

Correct D. 5 m/s^2

Correct Answer: D

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Question 3 View Details

A gas is heated from 300 K to 400 K at cons\tant volume. If the initial pressure is 1 atm, calculate the final pressure.

A. 1.5 atm

Correct B. 2 atm

C. 3 atm

D. 4 atm

Correct Answer: B

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Question 4 View Details

A 100 W bulb is connected to a 220 V power source. If the current drawn by the bulb is 0.5 A, calculate the resis\tance of the bulb.

A. 20 Ω

B. 40 Ω

C. 60 Ω

Correct D. 80 Ω

Correct Answer: D

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Question 5 View Details

A 10 kg block is moving with a velocity of 5 m/s on a rough surface. If the coefficient of friction is 0.5, calculate the force of friction acting on the block.

A. 5 N

B. 10 N

Correct C. 15 N

D. 20 N

Correct Answer: C

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Question 6 View Details

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

Correct A. \frac{Q}{A\varepsilon_0}

B. \frac{Q}{d\varepsilon_0}

C. \frac{Q}{A^2\varepsilon_0}

D. \frac{Q}{d^2\varepsilon_0}

Correct Answer: A

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Question 7 View Details

A block of mass $m$ is placed on a frictionless surface and a horizontal force $F$ is applied to it. If the block starts moving with an acceleration $a$, what is the value of the force $F$?

Correct A. F=ma

B. F=\frac{ma}{2}

C. F=\frac{2ma}{3}

D. F=\frac{3ma}{4}

Correct Answer: A

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Question 8 View Details

A circuit consists of a resistor $R$ and an inductor $L$ connected in series. If the circuit is driven by an alternating voltage source with a frequency $f$, what is the impedance $Z$ of the circuit?

Correct A. Z=\sqrt{R^2+$ \omega L $^2}

B. Z=\sqrt{R^2-$ \omega L $^2}

C. Z=\sqrt{$ \omega L $^2-R^2}

D. Z=\sqrt{$ \omega L $^2+R^2}

Correct Answer: A

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Question 9 View Details

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

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

B. F_c=\frac{mr^2}{v^2}

C. F_c=\frac{v^2}{mr}

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

Correct Answer: A

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Question 10 View Details

A wave function $\psi(x)$ is given by $\psi(x)=Ae^{ikx}$. If the wave function is normalized, what is the value of the cons\tant $A$?

Correct A. A=\frac{1}{\sqrt{L}}

B. A=\sqrt{L}

C. A=\frac{L}{\sqrt{L}}

D. A=\frac{\sqrt{L}}{L}

Correct Answer: A

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Question 11 View Details

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 force exerted on the particle?

A. 8 N

B. 10 N

Correct C. 12 N

D. 16 N

Correct Answer: C

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Question 12 View Details

A 100 μF capacitor is connected in series with a 200 Ω resistor and a 10 V battery. If the switch is closed at time t = 0, what is the current in the circuit at t = 5 s?

A. 0.2 A

B. 0.4 A

Correct C. 0.6 A

D. 0.8 A

Correct Answer: C

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Question 13 View Details

A radioactive sample has a half-life of 10 years. If the initial activity is 100 Bq, what is the activity after 20 years?

A. 12.5 Bq

Correct B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: B

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Question 14 View Details

A 5 μF capacitor is connected in parallel with a 10 μF capacitor. What is the equivalent capaci\tance?

A. 5 μF

B. 10 μF

Correct C. 15 μF

D. 20 μF

Correct Answer: C

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Question 15 View Details

A 100 Ω resistor is connected in series with a 10 V battery. If the current in the circuit is 0.2 A, what is the power dissipated by the resistor?

A. 2 W

Correct B. 4 W

C. 6 W

D. 8 W

Correct Answer: B

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Question 16 View Details

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. What is the magnitude of the net force acting on the particle?

A. 8 N

B. 12 N

Correct C. 16 N

D. 20 N

Correct Answer: C

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Question 17 View Details

A sound wave with a frequency of 200 Hz has a wavelength of 1.5 m. What is the speed of the sound wave?

A. 300 m/s

B. 400 m/s

Correct C. 500 m/s

D. 600 m/s

Correct Answer: C

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Question 18 View Details

A gas is heated from 20°C to 80°C at cons\tant volume. What is the change in internal energy of the gas?

A. 100 J

B. 200 J

Correct C. 300 J

D. 400 J

Correct Answer: C

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Question 19 View Details

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. 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 20 View Details

A vector has a magnitude of 5 units and makes an angle of 60° with the positive x-axis. What is the x-component of the vector?

A. 2.5 units

B. 3.5 units

Correct C. 4.5 units

D. 5.5 units

Correct Answer: C

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Question 21 View Details

A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. If the particle is subjected to a uniform magnetic field of strength $B$, what is the magnitude of the magnetic force acting on the particle?

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

B. $ \frac{mv}{r} $

C. $ \frac{m}{r^2} $

D. $ \frac{mv^2}{B} $

Correct Answer: A

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Question 22 View Details

A projectile is launched from the ground with an initial velocity of $v_0$ at an angle of $\theta$ above the horizontal. If the air resis\tance is negligible, what is the maximum height reached by the projectile?

Correct A. $ \frac{v_0^2 \sin^2 \theta}{2g} $

B. $ \frac{v_0^2 \cos^2 \theta}{2g} $

C. $ \frac{v_0^2 \sin \theta}{2g} $

D. $ \frac{v_0^2 \cos \theta}{2g} $

Correct Answer: A

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Question 23 View Details

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

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

B. $ R + \omega L - \frac{1}{\omega C} $

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

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

Correct Answer: A

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Question 24 View Details

A gas is contained in a cylinder of volume $V$ at a temperature $T$. If the gas is heated to a higher temperature $T + \Delta T$, what is the change in the pressure of the gas?

Correct A. $ \frac{\Delta T}{T} P $

B. $ \frac{P}{\Delta T} $

C. $ \frac{V}{T} \Delta T $

D. $ \frac{T}{V} \Delta V $

Correct Answer: A

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Question 25 View Details

A vector $\vec{A}$ has a magnitude of $A$ and makes an angle $\theta$ with the positive $x$-axis. If the vector is rotated by an angle $\phi$, what is the new magnitude of the vector?

Correct A. $ A \sqrt{1 + \tan^2 \theta \tan^2 \phi} $

B. $ A \tan \theta \tan \phi $

C. $ A \cos \theta \cos \phi $

D. $ A \sin \theta \sin \phi $

Correct Answer: A

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