Practice Post UTME ESUT physics 2019 Past Questions

Question 1 View Details

A 2.5 V battery is connected in series with a 10 Ω resistor and a 5 μF capacitor. The switch is closed at t = 0 s. What is the charge on the capacitor at t = 10 ms?

A. 0.5 μC

Correct B. 1.0 μC

C. 1.5 μC

D. 2.0 μC

Correct Answer: B

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Question 2 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?

Correct A. 12.5 Bq

B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: A

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Question 3 View Details

A 5 kg block is moving at 10 m/s on a horizontal surface. If the coefficient of kinetic friction is 0.2, what is the force of friction acting on the block?

A. 10 N

Correct B. 20 N

C. 30 N

D. 40 N

Correct Answer: B

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Question 4 View Details

A 2.0 m long rod is rotating at 10 rad/s about one \end. If the moment of inertia about the other \end is 0.5 kg m^2, what is the angular momentum about the other \end?

A. 5.0 kg m^2/s

Correct B. 10 kg m^2/s

C. 15 kg m^2/s

D. 20 kg m^2/s

Correct Answer: B

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Question 5 View Details

A 100 W light bulb is connected to a 220 V power source. If the resis\tance of the bulb is 100 Ω, what is the current flowing through the bulb?

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 6 View Details

A parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 100 V is applied across the plates, calculate the charge stored on the capacitor.

A. 10 mC

Correct B. 100 mC

C. 1 μC

D. 10 μC

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. Calculate 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 block of mass 5 kg is attached to a horizontal spring with a spring cons\tant of 200 N/m. The block is displaced by 2 m from its equilibrium position and released from rest. Calculate 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 View Details

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°

Correct B. 30°

C. 40°

D. 50°

Correct Answer: B

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Question 10 View Details

A magnetic field of magnitude 0.5 T is directed perp\endicular to the plane of a circular coil of radius 0.2 m. If the coil carries a current of 2 A, calculate the magnitude of the magnetic moment of the coil.

A. 0.1 A·m²

Correct B. 0.2 A·m²

C. 0.3 A·m²

D. 0.4 A·m²

Correct Answer: B

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Question 11 View Details

A sound wave with a frequency of 200 Hz is emitted from a source moving towards a stationary observer. If the speed of sound in air is 343 m/s, what is the apparent frequency heard by the observer?

A. 220 Hz

Correct B. 240 Hz

C. 260 Hz

D. 280 Hz

Correct Answer: B

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Question 12 View Details

A parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 20 V is applied across the plates, what is the charge stored on each plate?

A. 0.2 C

Correct B. 0.4 C

C. 0.6 C

D. 0.8 C

Correct Answer: B

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Question 13 View Details

A circuit consists of a 12 Ω resistor and a 20 Ω resistor connected in series. If a voltage of 24 V is applied across the circuit, what is the current flowing through the 12 Ω 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 14 View Details

A wave has a wavelength of 5 m and a frequency of 2 Hz. What is the speed of the wave?

A. 10 m/s

Correct B. 20 m/s

C. 30 m/s

D. 40 m/s

Correct Answer: B

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Question 15 View Details

A capacitor has a capaci\tance of 50 μF. If a charge of 0.1 C is stored on each plate, what is the potential difference across the plates?

A. 2 V

Correct B. 4 V

C. 6 V

D. 8 V

Correct Answer: B

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Question 16 View Details

A particle of mass $m$ is moving in a circular orbit of radius $r$ under the influence of a central force given by $F(r) = -\frac{k}{r^2}$. If the particle's speed is $v$, what is the total energy of the particle?

A. \frac{1}{2}mv^2

B. -\frac{k}{r}

C. \frac{1}{2}mv^2 + \frac{k}{r}

Correct D. \frac{1}{2}mv^2 - \frac{k}{r}

Correct Answer: D

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Question 17 View Details

A capacitor of capaci\tance $C$ is connected to a battery of voltage $V$ and then disconnected from the battery. If the capacitor is then connected to a resistor of resis\tance $R$, what is the time cons\tant of the circuit?

Correct A. RC

B. \frac{1}{RC}

C. \frac{R}{C}

D. \frac{C}{R}

Correct Answer: A

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Question 18 View Details

A wave of frequency $f$ and wavelength $\lambda$ is traveling through a medium. If the wave's speed is $v$, what is the wave number of the wave?

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

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

C. 2\pi f

D. \frac{v}{f}

Correct Answer: A

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Question 19 View Details

A particle of mass $m$ is moving in a one-dimensional potential given by $V(x) = \frac{1}{2}kx^2$. If the particle's energy is $E$, what is the maximum value of the particle's position?

Correct A. \frac{E}{k}

B. \frac{k}{E}

C. \frac{1}{2}k

D. \frac{E}{2k}

Correct Answer: A

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Question 20 View Details

A capacitor of capaci\tance $C$ is connected to a battery of voltage $V$ and then disconnected from the battery. If the capacitor is then connected to a resistor of resis\tance $R$, what is the time cons\tant of the circuit?

Correct A. RC

B. \frac{1}{RC}

C. \frac{R}{C}

D. \frac{C}{R}

Correct Answer: A

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Question 21 View Details

A wave of frequency $f$ and wavelength $\lambda$ is traveling through a medium. If the wave's speed is $v$, what is the wave number of the wave?

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

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

C. 2\pi f

D. \frac{v}{f}

Correct Answer: A

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Question 22 View Details

A particle of mass $m$ is moving in a one-dimensional potential given by $V(x) = \frac{1}{2}kx^2$. If the particle's energy is $E$, what is the maximum value of the particle's position?

Correct A. \frac{E}{k}

B. \frac{k}{E}

C. \frac{1}{2}k

D. \frac{E}{2k}

Correct Answer: A

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Question 23 View Details

A capacitor of capaci\tance $C$ is connected to a battery of voltage $V$ and then disconnected from the battery. If the capacitor is then connected to a resistor of resis\tance $R$, what is the time cons\tant of the circuit?

Question 24 View Details

A particle of mass $m$ is attached to a spring with spring cons\tant $k$. The particle is displaced from its equilibrium position by a dis\tance $x_0$ and released from rest. Assuming the motion is simple harmonic, find the angular frequency $omega$ of the particle's motion.

Correct A. \sqrt{\frac{k}{m}}

B. \frac{k}{m}

C. \frac{m}{k}

D. \frac{1}{\sqrt{mk}}

Correct Answer: A

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Question 25 View Details

A magnetic field is produced by a current-carrying wire. The wire is oriented at an angle of $30^\circ$ to the magnetic field. If the current in the wire is $I = 2A$, the magnetic field strength is $B = 0.5T$, and the length of the wire is $L = 1m$, find the force exerted on the wire.

A. 0.5N

Correct B. 1N

C. 2N

D. 5N

Correct Answer: B

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