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POST UTME SUMMIT UNIVERSITY 2022 Physics | Objective

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Question 1 View Details

A parallel plate capacitor has a capaci\tance of 10 μF and is connected to a 12 V battery. If the dis\tance between the plates is doubled, what is the new capaci\tance?

A. 20 μF

Correct B. 5 μF

C. 10 μF

D. 2.5 μF

Correct Answer: B

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Question 2 View Details

A block of mass 2 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 from rest, what is 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 3 View Details

A 5 μC charge is placed at the center of a circular loop of radius 0.1 m. What is the electric field at a point on the circumference of the loop?

A. 0 N/C

Correct B. 10^3 N/C

C. 10^4 N/C

D. 10^5 N/C

Correct Answer: B

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Question 4 View Details

A photon has an energy of 2.5 eV. What is its wavelength?

A. 500 nm

B. 1000 nm

Correct C. 2000 nm

D. 5000 nm

Correct Answer: C

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Question 5 View Details

A nucleus has a mass number of 238 and an atomic number of 92. What is its charge?

Correct A. +92e

B. +93e

C. +94e

D. +95e

Correct Answer: A

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Question 6 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 subject to a centripetal acceleration of 2 m/s^2, what is the magnitude of the net force acting on the particle?

A. 8 N

B. 10 N

Correct C. 12 N

D. 16 N

Correct Answer: C

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Question 7 View Details

A circuit consists of a 12 V battery, a 4 Ω resistor, and an unknown resistor R. If the current in the circuit is 2 A, what is the value of R?

A. 2 Ω

Correct B. 4 Ω

C. 6 Ω

D. 8 Ω

Correct Answer: B

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Question 8 View Details

A radioactive sample has a half-life of 5 years. If the initial activity of the sample is 100 Bq, what is the activity of the sample after 10 years?

A. 25 Bq

Correct B. 50 Bq

C. 75 Bq

D. 100 Bq

Correct Answer: B

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Question 9 View Details

A charged particle of mass 1 kg and charge 2 C is moving in a uniform magnetic field of strength 3 T. If the particle has a velocity of 4 m/s, what is the magnitude of the force acting on the particle?

A. 6 N

B. 8 N

Correct C. 10 N

D. 12 N

Correct Answer: C

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Question 10 View Details

A capacitor of capaci\tance 2 μF is connected in series with a resistor of resis\tance 3 Ω. If a voltage of 12 V is applied across the circuit, what is the current in the circuit?

A. 2 A

Correct B. 3 A

C. 4 A

D. 5 A

Correct Answer: B

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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 force of 12 N, what is the magnitude of the acceleration of the particle?

A. 10 m/s^2

Correct B. 12 m/s^2

C. 15 m/s^2

D. 20 m/s^2

Correct Answer: B

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Question 12 View Details

A wave has a frequency of 50 Hz and a wavelength of 0.2 m. If the wave is traveling in the positive x-direction, what is the direction of the particle velocity?

Correct A. Positive x-direction

B. Negative x-direction

C. Positive y-direction

D. Negative y-direction

Correct Answer: A

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Question 13 View Details

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. If the current in the circuit is 2 A, what is the voltage drop across the 6 Ω resistor?

A. 6 V

Correct B. 8 V

C. 10 V

D. 12 V

Correct Answer: B

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Question 14 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. If the acceleration due to gravity is 9.8 m/s^2, 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 15 View Details

A force of 10 N is applied to an object of mass 2 kg, cau\sing it to accelerate at 5 m/s^2. What is the net force acting on the object?

A. 5 N

Correct B. 10 N

C. 15 N

D. 20 N

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. If the particle is subject to a centripetal force of 12 N, what is the angular velocity of the particle?

A. 2 rad/s

B. 4 rad/s

Correct C. 6 rad/s

D. 8 rad/s

Correct Answer: C

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Question 17 View Details

A heat engine operates between two temperatures of 500 K and 300 K. If the engine has an efficiency of 30%, what is the temperature of the hot reservoir?

A. 400 K

B. 500 K

Correct C. 600 K

D. 700 K

Correct Answer: C

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Question 18 View Details

A magnetic field of 0.5 T is directed perp\endicular to a current of 2 A. What is the force experienced by a 0.1 m long wire?

A. 0.01 N

Correct B. 0.02 N

C. 0.03 N

D. 0.04 N

Correct Answer: B

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Question 19 View Details

A capacitor of 10 μF is charged to a potential difference of 5 V. What is the energy stored in the capacitor?

A. 0.01 J

Correct B. 0.02 J

C. 0.03 J

D. 0.04 J

Correct Answer: B

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Question 20 View Details

A gas expands from 2 L to 5 L against a cons\tant external pressure of 2 atm. What is the work done by the gas?

A. 10 J

B. 20 J

Correct C. 30 J

D. 40 J

Correct Answer: C

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Question 21 View Details

A particle of mass $m$ is attached to a spring with spring cons\tant $k$. If the particle is displaced from its equilibrium position by a dis\tance $x_0$ and then released from rest, determine the maximum kinetic energy of the particle as a function of time $t$.

Correct A. $ K_{\max} = \frac{1}{2}m\omega^2x_0^2 $

B. $ K_{\max} = \frac{1}{2}m\omega^2x_0 $

C. $ K_{\max} = \frac{1}{2}m\omega^2 $

D. $ K_{\max} = \frac{1}{2}mx_0^2 $

Correct Answer: A

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Question 22 View Details

A parallel plate capacitor has plates of area $A$ and separation $d$. If a charge $Q$ is placed on the plates, determine the electric field between the plates.

Correct A. $ E = \frac{Q}{\epsilon_0 A} $

B. $ E = \frac{Q}{\epsilon_0 d} $

C. $ E = \frac{Q}{\epsilon_0 A^2} $

D. $ E = \frac{Q}{\epsilon_0 d^2} $

Correct Answer: A

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Question 23 View Details

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, determine the work done by the gas during the heating process.

Correct A. $ W = nR\( T_2 - T_1 $

B. $ W = nR\( T_1 + T_2 $

C. $ W = nR\( T_1 - T_2 $

D. $ W = nR\( T_2 + T_1 $

Correct Answer: A

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Question 24 View Details

A block of mass $m$ is attached to a horizontal spring with spring cons\tant $k$. If the block is displaced from its equilibrium position by a dis\tance $x_0$ and then released from rest, determine the angular frequency of the resulting simple harmonic motion.

Correct A. $ \omega = \sqrt{\frac{k}{m}} $

B. $ \omega = \sqrt{\frac{m}{k}} $

C. $ \omega = \sqrt{\frac{k}{m^2}} $

D. $ \omega = \sqrt{\frac{m^2}{k}} $

Correct Answer: A

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Question 25 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 subject to a centripetal force $F_c$, determine the magnitude of the force.

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

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

C. $ F_c = \frac{mv^2}{r^2} $

D. $ F_c = \frac{mr^2}{v} $

Correct Answer: A

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