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POST UTME ESUT 2022 Physics | Objective

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Question 1 View Details

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}{qr}

D. \frac{v}{qr}

Correct Answer: A

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Question 2 View Details

A sound wave with frequency $f$ and amplitude $A$ is traveling through a medium with speed $v$. If the wave is reflected from a rigid surface, what is the frequency of the reflected wave?

A. f

Correct B. 2f

C. \frac{v}{f}

D. \frac{f}{v}

Correct Answer: B

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Question 3 View Details

A light ray is incident on a prism with angle of incidence $\theta_i$ and angle of re\fraction $\theta_r$. If the prism has a re\fractive index $n$, what is the angle of deviation?

Correct A. \theta_i - \theta_r

B. \theta_i + \theta_r

C. n\theta_i

D. n\theta_r

Correct Answer: A

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Question 4 View Details

A gas is contained in a cylinder with volume $V$ and pressure $P$. If the temperature is increased by $\Delta T$, what is the change in pressure?

A. \frac{\Delta T}{V}

Correct B. \frac{P\Delta T}{V}

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

D. \frac{P\Delta T}{V^2}

Correct Answer: B

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Question 5 View Details

A nucleus of mass number $A$ and atomic number $Z$ undergoes \beta decay. What is the resulting nucleus?

Correct A. A-1, Z+1

B. A+1, Z-1

C. A, Z

D. A-1, Z-1

Correct Answer: A

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Question 6 View Details

A beam of light 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 7 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 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 8 View Details

A gas at a pressure of 2 atm and a temperature of 300 K is allowed to expand to a pressure of 1 atm. What is the final temperature of the gas?

A. 200 K

Correct B. 250 K

C. 300 K

D. 350 K

Correct Answer: B

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Question 9 View Details

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

B. 2 A

Correct C. 3 A

D. 4 A

Correct Answer: C

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Question 10 View Details

A spring with a spring cons\tant of 100 N/m is stretched by 2 m. What is the work done in stretching the spring?

A. 100 J

Correct B. 200 J

C. 300 J

D. 400 J

Correct Answer: B

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Question 11 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{Cd}{\epsilon_0A}

B. \frac{Q}{A\epsilon_0}

C. \frac{Cd}{A}

D. \frac{Q}{\epsilon_0A}

Correct Answer: A

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Question 12 View Details

A ray of light 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 the angle of re\fraction?

A. \sin \theta_i

Correct B. \sin \theta_r

C. \cos \theta_i

D. \cos \theta_r

Correct Answer: B

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Question 13 View Details

A radioactive sample decays with a half-life of $T_{1/2}$. If the initial activity is $A_0$ and the time elapsed is $t$, what is the value of the activity $A$?

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/2}

D. A_0 \left$ \frac{1}{2}\right $^{2/T_{1/2}}

Correct Answer: A

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Question 14 View Details

A simple harmonic motion has a frequency of $f$ and an amplitude of $A$. If the time elapsed is $t$, what is the value of the displacement $x$?

Correct A. A \cos $ 2\pi ft $

B. A \sin $ 2\pi ft $

C. A \tan $ 2\pi ft $

D. A \cot $ 2\pi ft $

Correct Answer: A

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Question 15 View Details

A lens of focal length $f$ forms an image of an object at a dis\tance $u$ from the lens. If the magnification is $m$, what is the value of the image dis\tance $v$?

Correct A. -\frac{v}{u} = \frac{f}{u}

B. -\frac{v}{u} = -\frac{f}{u}

C. \frac{v}{u} = \frac{f}{u}

D. \frac{v}{u} = -\frac{f}{u}

Correct Answer: A

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Question 16 View Details

A 2.5 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 0.15 m from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, calculate the maximum speed of the block.

A. 1.5 m/s

Correct B. 2.5 m/s

C. 3.5 m/s

D. 4.5 m/s

Correct Answer: B

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Question 17 View Details

A car travels from point A to point B at an average speed of 60 km/h. On the return trip, the car travels at an average speed of 40 km/h. What is the average speed of the car for the entire trip?

A. 40 km/h

B. 50 km/h

Correct C. 60 km/h

D. 70 km/h

Correct Answer: C

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Question 18 View Details

A 5.0 kg block is moving in a circular path with a radius of 2.0 m. The block experiences a centripetal acceleration of 4.0 m/s^2. What is the speed of the block?

A. 2.0 m/s

Correct B. 4.0 m/s

C. 6.0 m/s

D. 8.0 m/s

Correct Answer: B

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Question 19 View Details

A light ray passes from air into a glass block with a re\fractive index of 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 20 View Details

A 10.0 kg block is moving at a speed of 5.0 m/s. What is its kinetic energy?

A. 25 J

Correct B. 50 J

C. 75 J

D. 100 J

Correct Answer: B

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Question 21 View Details

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. The capaci\tance is 8.0 nF. If the potential difference between the plates is 10 V, calculate the charge on the plates.

A. 80 μC

Correct B. 160 μC

C. 320 μC

D. 640 μC

Correct Answer: B

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Question 22 View Details

A thermodynamic system undergoes a process from state A to state B. The initial temperature is 300 K and the final temperature is 400 K. The change in entropy is 10 J/K. If the process is reversible, calculate the heat transferred.

A. 4000 J

B. 8000 J

Correct C. 12000 J

D. 16000 J

Correct Answer: C

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Question 23 View Details

A magnetic field is produced by a current-carrying wire. The current is 2 A and the length of the wire is 0.5 m. If the magnetic field at a dis\tance of 0.1 m from the wire is 0.01 T, calculate the magnetic moment.

Correct A. 0.01 A m^2

B. 0.02 A m^2

C. 0.03 A m^2

D. 0.04 A m^2

Correct Answer: A

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Question 24 View Details

A gas is confined to a container of volume 0.1 m^3. The pressure is 100 kPa and the temperature is 300 K. If the temperature is increased to 400 K, calculate the new pressure.

A. 150 kPa

B. 200 kPa

Correct C. 250 kPa

D. 300 kPa

Correct Answer: C

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Question 25 View Details

A vector has a magnitude of 5 m and makes an angle of 30° with the positive x-axis. If the vector is rotated by 60°, calculate the new magnitude.

A. 5 m

Correct B. 7.5 m

C. 10 m

D. 12.5 m

Correct Answer: B

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